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Common Core Standards Bellringers

Grade 7 Math

Student Edition

Second Edition

Copyright 2013 by Great Educators

All rights reserved.

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CCSS State Standards Bellringers Student Edition: Math Set, Second Edition

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7th Grade Math: 7.RP.A.1

Problem:

A person walks

mile every 20

minutes. Compute the unit rate as a

complex fraction.

Answer:

or

mile an hour

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Instructions: Answer the following questions.

1. The candy store uses

pound of dark chocolate chips in each bag of its special trail mix.

The owner used

pounds of chips when she made up bags of trail mix. How many bags did

the owner prepare to sell? Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer:

2. Find the unit rate: Answer:

3. A five-pound bag of apples cost $2.95. What is the unit cost?

Answer: 4. The janitor at the school purchased a five-gallon container of floor cleaner for $261.60.

How much was the unit cost per pint? Answer:



7th Grade Math: 7.RP.A.2a-2b

Problem:

Are these proportions the same?

1 teaspoon salt : 3 cups water

teaspoon salt : 1 cup water

teaspoon salt : 1

cup water

Answer:

Yes.

Things to Remember:

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1. Are these ratios equivalent? .

Answer:

2. Do these ratios form a proportion?

Answer:

3. Do these ratios from a proportion?

Answer:

4. The Johnson’s anniversary party will cost $48 if 12 people come to the party. It will cost $88 if 22 people come to the party. What is the cost per guest?

Answer:

5. The Jefferson Street Car Wash had revenues of $27 from 3 customers. Later in the day, the car wash earned $72 in revenue from 8 customers. How much revenue does the car wash have per customer?

Answer:



7th Grade Math: 7.RP.A.2c-2d

Solve the proportion:

Answer:

Things to Remember:

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1. Solve the proportion:

Answer:

2. Grandma Jones made 25 liters of applesauce in 5 days. How many days will it take for her to make 75 liters of applesauce? Assume the relationship is directly proportional.

Answer:

3. Fill in the missing number to complete the linear equation that gives the rule for this table.

x 1 2 3 4

y 7 14 21 28

Answer

4. The grocery store deli manager decorated 6 cakes in 2 hours. How many cakes could she decorate in an 8 hour shift? Assume the relationship is proportional.

Answer:




Problem:

Gas prices are projected to increase

by 36% by June 2014. A gallon of gas

currently costs $3.85. What is the

projected cost of a gallon of gas for

June 2014?

Answer:

$5.24

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What is ? Answer:

2. Complete this equation: ________% of 60=21. Answer:

3. A science class at the high school had 36 students enrolled for the laboratory class. If 50% of the students were late on the first day of class, how many were on time?

Answer:

4. 36 of 90 employees had the flu this winter. What percent of the employees had the flu this winter? Write your answer with a percent sign.

Answer:

5. During the sale at 75% off, Jackson purchased a new video game. If he paid $7.50 for the game on sale, what was the original price?

Answer:



7th Grade Math: 7.NS.A.1a-1b

Problem:

Is this equation true?

Answer:

Yes.

Things to Remember:

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| |


1. What is the opposite of 14? Answer:

2. What is the absolute value of ? Answer:

3. Pick the correct response:

a. > b. < c. =

Answer:

4. What integer will make the following statement true?

Answer:



7th Grade Math: 7.NS.A.1c-1d

Things to Remember:

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Problem:

On a game at the fair, Jennifer started

the round with 300 points and ended

with 700 points. How many points did

she score during that round?

Answer: 400 points


1. What integer represents this situation? A loss of 40 yards in a football game. Answer:

2. Is the answer to this problem positive or negative?

Answer:

3. Add Answer:

4. Simplify:

Answer:

5. Complete:

Answer:




Problem:

Solve the following expressions.

Answer:

8, -8, -8, 8

Things to Remember:

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1. Is the answer to this equation positive or negative?

Answer:


Answer:

3. What is the multiplicative inverse of

?

Answer:

4. Debbie purchased 9 pounds of hamburger for the picnic for $22.32. How much did she pay per pound?

Answer:

5. Evaluate: Answer:



7th Grade Math: 7. NS.A.2c-2d

Problem: Divide. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

1

Answer:

Things to Remember:

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1. Multiply:

Answer:

2. Divide:

Answer:

3. Evaluate:

Answer:

4. Write as a fraction in simplest form.

Answer:

5. Which property of multiplication is shown?

a. Distributive

b. Identity

c. Zero

d. Commutative

Answer:



7th Grade Math: 7.NS.A.3

Problem: Your car insurance bill is automatically withdrawn from your account every month. If you bill is $162 each month, how much will be deduction over the course of twelve months? Answer: $1944.00

Things to Remember:

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1. The Community Garden gave each family 2.5 pounds of zucchini, 3.4 pounds of tomatoes, and 3.0 pounds of corn. How many pounds of food did each family receive?

Answer:

2. Sam rode his bike to the community center for basketball practice. If each trip is .75 miles and he rode there 12 times last month, how far did he ride?

Answer:

3. Mrs. Patel purchased a bag of 24 bagels. If the bag weighed 7.20 ounces, how much did each bagel weigh?

Answer:

4. Janet was baking a cake and bread in her kitchen. She used

cup of wheat flour,

cup of coconut flour and

cups of rye flour. How much flour did she use that day?

Answer:




Problem:

The owner of the restaurant started

paying the bills. There were two

from food suppliers for $102.60 and

$250.00. There were two utility bills

too for $50.75 and $95.20. What

was the total for today’s bills?

Answer: $498.55

$1944.00

Things to Remember:

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1. John had

of the bag of fertilizer remaining. If John uses

of the remaining fertilizer,

how much does he have left now? Answer:

2. The chef had

cups of coconut flour to make special cakes for a party. If each cake

cups of flour, how many cakes can he make?

Answer:

3. Uncle Bob uses .75 cups of oats when he makes pancakes for breakfast. If he makes pancakes 6 times a week, how much oats does he use in 3 weeks?

Answer:

4. Sandy started off with 20.5 pounds of jewelry cleaner. Each week she used 1.5 pounds to clean jewelry in her business. How much did she have at the end of 5 weeks?

Answer:



7th Grade Math: 7.EE.A.1

Problem:

Write an equivalent expression for

Answer:

Things to Remember:

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1. Simplify the expression: Answer:


a. commutative b. distributive c. identity d. associative

Answer:

3. Simplify: Answer:






Problem:

Write an expression for the sequence

of operations of:

Add 2 to x, subtract the result from 3,

the double what you have.

Answer:

Things to Remember:

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1. Translate “three times a number subtracted from 120” into a mathematical expression.

Answer:

2. Translate “the difference between four times a number and six” into a mathematical expression.

Answer:

3. Translate “22 less than the product of a number and 30” into a mathematical expression.

Answer:

4. Write an equation and solve: . What is the number? Answer:



7th Grade Math: 7.EE.B.3

Problem:

A family is going to a trip to an

amusement park. The trip costs $58 a

person, which includes a $15 ticket for

a train ride and the cost of two

additional passes for other rides at the

park. Each pass costs the same price.

Write an equation representing the

cost of the trip and determining the

price of one pass.

Answer:

Things to Remember:

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1. Write in standard notation: 3.78 x . Answer:

2. Which sign makes the sentence true? 4.8 x ? 3.65 x

a. < b. > c. =

Answer:

3. What is 35.8 rounded to the nearest whole number? Answer:

4. Which sign makes the sentence true? 2.88 ? 3.50 -2.8

1. < 2. > 3. =

Answer:




Problem:

Samantha has 10 coins and together

they are worth $ .80. If the coins are

dimes and nickels, how many of each

is there?

Answer:

Things to Remember:

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1. Tabitha went to buy school supplies with her Mom. They found a binder priced 3 binders for $6.00 and a pencil box for $2.50. They only bought 1 binder and 1 pencil box; how much did they spend on these two items?

Answer

2. How many pints are in 3 gallons of punch? Answer:

3. Write the percent that equals

.

Answer:

4. Write

as a decimal.

Answer:



7th Grade Math: 7.EE.B.4a

Problem:

Allison had $32 dollars to spend on

painting supplies. After buying 8

brushes, she had $9.20 left. How

much did each brush cost?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Janet went on a school trip to Europe. The first 4 days she sent 24 post cards to her friends at home. If she stays for 10 days, how many post cards will she send? Assume the relationship is directly proportional.

Answer:

2. If Sharon can bake 6 cakes for the school bake sale in 4 hours, how long will it take her to bake 15 cakes this week?

Answer:

3. Solve for x: Answer:

4. Solve for y: Answer:

5. Solve for k: Answer:



7th Grade Math: 7.EE.B.4b

Problem: Solve for y. Write your answer with y first, followed by an inequality symbol. Answer:

Things to Remember:

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1. Write an inequality for the following graph:

Answer: 2. Solve for g. Write your answer with g first followed by an inequality symbol.

Answer:

3. Which of the following are solutions to the inequality below? Select all that apply.

a. 8 b. 12 c. 6 d. 14

Answer:

0 1 2 3 4 5 6 7 8 9



7th Grade Math: 7.G.A.1

Problem:

Mario has an 50 : 1 scale-drawing of

the floor plan of his house. On the

floor plan, the dimensions of his

rectangle kitchen are 1

inches by 2

inches. What is the area of his real

kitchen in square feet? Round your

answer to the nearest tenth.

Answer:

Things to Remember:

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1. Hailey made a scale drawing of her neighborhood. The school property, which is 90 feet wide in real life, is 9 inches wide in the drawing. What scale did Hailey use?

Answer:

2. If triangle ABC is similar to triangle XYZ, what is the missing length for the side?

Answer:

3. Look at the figure below. If the lengths of the sides are all doubled, what does the perimeter of the figure do? Pick the best answer.

a. The perimeter goes up the factor of four. b. The perimeter becomes half. c. The perimeter doubles. d. The perimeter stays the same.

Answer:

24

15

12 12

A C

B

Z X

Y

?




Problem:

Draw a quadrilateral with one set of

parallel sides and no right angles.

Answer:

Things to Remember:

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1. Draw a triangle with sides of 3 inches, 4 inches and the hypotenuse of 5 inches.

2. Draw a triangle with angles of 90°, 45° and 45°

3. Will these three triangle side lengths create a triangle?

Answer:




Problem:

Describe the 2-dimensional shape

created if a planar cut is made parallel

to the base of the figure below.

Answer:

The shape created would be a

rectangle identical to the base of the

figure.

Things to Remember:

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1. If the triangular prism is cut through parallel to the base, what shape is made?

Answer: 2. If the rectangular pyramid is cut through parallel to the base, what shape is made?

Answer:



7th Grade Math: 7.G.B.4

Problem:

The local park is planning to add a

miniature golf course. The end of the

putting green will be a circle – if the

circle is 15 feet in diameter, how many

square feet of grass carpet do they

need to purchase to cover the circle?

Round your answer to the nearest

tenth.

Answer:

176.6ft2

Things to Remember:

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1. What part of the circle is shown?

Answer:

2. The diameter of the circle is 14 feet, what is the radius? Answer:

3. If Aunt Belle wants to sew lace around a round tablecloth she has, how much lace will she need if the radius of the tablecloth is 35 inches

Answer:

4. Uncle Jim is painting a large circle on the basement floor for the children to play games in. If the radius of the circle is 4 feet, what is the area that will need to be covered with paint

Answer:




Problem:

Write and solve an equation to find

the measure of angle x.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

120° x°


1. Name a vertical angle to Angle 3.

2. Using the drawing above, name two adjacent angles to Angle 3.

Answer:

3. Using the drawing above, name two angles that are supplementary Answer:

1

2 3

4




Problem:

Find the area of the trapezoid shown

below.

Answer:

152 units2

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

24

8

14


1. What is the area of a rectangular field that is 11 miles long and 8 miles wide? Answer:

2. What is the surface are of the square prism? Each edge is 6 feet long. Answer:

3. What is the volume of the above prism? Answer:



7th Grade Math: 7.SP.A.1

Problem:

Which survey option would produce a

more representative sample of a

population?

a. Randomly selecting 20 people

to participate, or

b. Selecting the first 20 people to

show up to the event.

Answer:

Option A would result in a more

representative sample.

Things to Remember:

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1. The math teacher wanted to do a survey of students and their music preferences. He asked the students to stay after school to participate. Out of all 7 of his classes, 27 participated. Was this a representative group?

Answer:

2. The state agricultural agent went to the biggest farmers in the county to ask about which person they would like to have in congress. Was this a sample likely to be biased?

Answer:

3. During a craft show two of the judges examined 2 pieces from each artist. Each artist h ad equal number of pieces of crafts on display. Was this sample biased? Yes or no?

Answer:




Problem:

Betsy randomly selected 10 words

from her favorite book to estimate the

mean word length. The words are:

the, style, black, dresses, Mary,

bedroom, jogging, mother, a, cat.

What is the estimate mean word

length for this book?

Answer:

5 letters

Things to Remember:

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1. The Forest Preserve animal specialists wanted to know how many deer were in the parks. They put tags on 75 deer and returned them to the parks. Later that year they sent agents out to count again. This time they found 40 deer of which 15 were tagged. Using this information, what would be a good estimate of the number of deer in the park?

Answer:

2. The scientist at the university farm studied beetles in the crops. They put marks on 55 beetles. Later, he captured 75 beetled of which 25 were marked. How many beetles are likely to be in the fields?

Answer:



7th Grade Math: 7.SP.B.3

Problem: If Group A has a larger mean

than Group B, what does that mean?

If Group A has a larger absolute mean

deviation than Group B, What does

that mean?

Answer: In general, you can say that

the items in Group A are larger/bigger

and have greater variability than the

items in Group B.

Things to Remember:

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1. How many quartiles apart are the means?

Answer: 2. What fraction of the range is the difference between the means?

Answer:




Problem:

Calculate the mean, median, and

mode of the following set of numbers.

3, 4, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9

Answer:

Mean – 6.7

Median – 7

Mode – 9

Things to Remember:

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1. In the data below, if the mean is 11, what is the value of x?

a. 20 b. 11 c. 12

Answer:

2. In George’s experiment he collected the following data: Calculate the mean, range, and the median. Answer:

3. What is the mean on this box and whisker chart? What is the range?

Answer:

0 1 2 3 4 5 6 7 8 9



7th Grade Math: 7.SP.C.5

Problem:

If 0 = impossible and 1 = certain, label

the other 3 marks below.

0 1

Answer:

In order, the other 3 marks should say

“unlikely”, “equally likely”, and

“likely”.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Cards were made with the symbols below:

If the cards were put in a box and pulled out randomly, what is the probability of getting a star? If the cards were put in a box and pulled out randomly, what is the probability of getting an arrow? Answer: 2. Which symbol is more likely to show up?

Answer:

3. If the children’s game has a spinner equally divided into 1-2-3-4-5-6 sections, what is the likelihood that you will get an even number when you play the game?

Answer:




Problem:

A bag contains 30 white marbles and

70 black marbles. If you were to make

10 pulls from the bag without looking

and always put the marble back after

your pull, how many of those 10 pulls

would you expect to result in a white

marble?

Answer:

Things to Remember:

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1. At the pizza restaurant, 6 out of the last 10 customers ordered peperoni on their pizza. What is the experimental probability that the next person who orders will order pepperoni? Simplify your answer and write it as a fraction or whole number.

Answer:

2. Janice was experimenting with flipping a coin from a magician’s store. She got heads 16 out of 20 flips. What is the probability that the next flip will be a head? Is this a fair coin? Why or why not?

Answer:

3. At the big box discount store, people were handing out samples of chocolate cookies and lemon cookies. People have taken 8 chocolate cookies and only 4 lemon cookies. Based on this data, of the next 20 people taking samples, how many would you expect to take lemon cookies?

Answer:




Problem:

If there are 15 boys and 10 girls in the

class and you were choosing a student

at random, what is the probability that

a girl will be selected?

Answer:

Things to Remember:

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1. Jeremy has a collection of T-shirts with writing on them. He has 25 shirts and 5 of them are from famous bands and 10 are from universities. If Jeremy picks a shirt at random, what is the probability that he will get a band T-shirt? Simplify your answer and write it as a fraction or whole number.

Answer:

2. A grocery store recently sold 12 cans of soup, 4 of which contain tomato soup. What is the experimental probability that the next can sold will be tomato soup? Simplify your answer and write it as a fraction or whole number. Answer:

3. Gordon has worn a blue shirt on 4 of the last 16 days. What is the experimental probability that Gordon will wear a blue shirt tomorrow?

Answer:




Problem:

What is the probability your will pick a

non-shaded marble?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Trisha is making a beaded bracelet and plans to use each bead color once. She selects a red bead, and then reaches for another color. Are these two events dependent or independent?

Answer:

2. Two girl friends who will be going to prom went shopping for dresses together. They do not want to have the same dresses. Are these two events dependent or independent?

Answer:

3. You roll a 6-sided die. What is the P(3 or odd)? Answer:




Problem:

Mrs. Oats made

of a pound of

granola mix. If she puts

of a pound

into each bowl, how many bowls can

she fill? Simplify your answer and

write it as a proper fraction or as a

whole or mixed number.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Janet started with

cups of chocolate chips. If she uses

cup in each recipe of 24

cookies, how many cookies can she bake? Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer: 2. Find the unit rate:

Answer: 3. Eight tons of small lava rock cost $4720.00. What is the price per pound?

Answer: 4. A 10 foot roll of special art paper cost $14.40. What is the cost per inch?

Answer:




Problem:

Are these proportions the same?

12 elementary school students

to 8 high school students

15 elementary school students

to 20 high school students

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Are these ratios equivalent? Answer


Answer:

3. Do these ratios from a proportion?

Answer:

4. The office training will cost $385 for 55 employees and $525 for 75 employees. What is the cost per employee?

Answer:

5. The Doggie grooming business had revenues of $60 from 4 customers. Later in the week, they earned $$180 in revenue from 12 customers. How much revenue does the grooming business have per customer?

Answer:




Solve the proportion:

Answer:

Things to Remember:

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Answer:

2. Aunt Courtney made 12 quilt squares in 4 days. How many days will it take for her to make 108 quilt squares? Assume the relationship is directly proportional.

Answer:


x 3 4 5 6

y 9 12 15 18

Answer:

4. The employee at the plant nursery could plant 42 plants in pots in an hour. How many plants could she put in pots in an 8 hour shift? Assume the relationship is proportional.

Answer:




Problem:

What is the percent of change from

100 to 50?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What is ? Answer:


3. The man had a physical exam at the doctor and his weight went down 4%. If his weight was 200 pounds last year, what is his weight this year?

Answer:

4. 66 of 120 students had perfect attendance last year. What percent of the students had perfect attendance? Write your answer with a percent sign.

Answer:

5. Jennifer has $200 in a savings account that earns 5% annually. The interest is not compounded. How much interest will she earn 1 year? Use the formula

where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. Answer:




Problem:

Which sign makes this a true

statement?

| | | |

a. >

b. <

c. =

Answer:

b

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

| |


1. What is the opposite Answer:

2. Is the solution to this problem positive or negative? Answer:


a. > b. < c. =

Answer:


Answer:




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Problem:

The mountain climber started at an

altitude of 250 feet above sea level.

At the peak of his hike he was 850 feet

above sea level. What was the change

in his altitude?

Answer:

600 feet


1. What integer represents this situation? A deposit of $100 in my savings account. Answer:


Answer:

3. Add Answer:

4. Which equation shows the associative property of multiplication? a. 10 = 1 · 10 b. (5 – 2) · 6 = 6 · 5 – 6 · 2 c. (1 · 3) · 7 = 1 · (3 · 7) d. 9 · 5 = 5 · 9

Answer:




Problem:

Jamison mixed

of a pound of

cashews with

pounds of peanuts

together. If he puts 1/2 of a pound

into a bag for future use, how many

bags can Jamison fill? Simplify your

answer and write it as a proper

fraction or as a whole or mixed

number

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer:

2. Is the answer to this equation positive or negative? Solve.

Answer:

3. What is the multiplicative inverse of

?

Answer:

4. Jim purchased

.pounds of steak for the holiday cook out. He paid $15.75 for his

steaks. How much did she pay per pound? Answer:

5. Multiply:

.

Answer




Problem: Multiply. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Multiply: Answer:

2. Divide: Answer:

3. Write as a fraction in simplest form. Answer:

4. Write

as a decimal.

Answer:


a. Distributive b. Identity c. Zero d. Commutative

Answer:




Problem:

John’s checkbook required him to

calculate the following

integers:

What is the end total representing

the amount of money he has?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Bill played golf last weekend and had the following scores for 9 holes:

What was his final score? Answer:

2. Jessica went to the big box discount store. She purchased 3 items at $4.95 each and 2 items at $5.50 each. What was the total for these 5 items?

Answer:

3. An apple orchard made 610 liters of apple cider in five days. How much apple cider was produced each day?

Answer:

4. At the restaurant the chef planned to serve

cups of spaghetti sauce for each entrée

sold. If he planned for 64 spaghetti plates to be sold and he wanted to have 3 cups leftover, how much should he make?

Answer:




Problem:

The diver went under the water to a

depth of . Later he went

down further to . What

was the change from his first location

to his second?

Answer:

$1944.00

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Multiply. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer:

2. Divide. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer:

3. The new restaurant owner uses

pound of butter for each cheesecake. If he used

pounds of butter yesterday, how many cheesecakes did he make? Answer:





Problem:


Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________




a. commutative b. distributive c. identity d. associative Answer:

3. Simplify the expression: . Answer:

4. Simplify: . Answer:





Problem:

Translate “the product of 7 less than a

number and the number”.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Translate “the product of an unknown and six more than that unknown” into a mathematical expression.

Answer:

2. Translate “the total of two times the square of m and the square of m” into a mathematical expression.

Answer:

3. Translate “21 less than the product of a number and 17” into a mathematical expression.

Answer:

4. Write an equation and solve: . What is the number?

Answer:




Problem:

The school group went on field trip to

the art museum. The group took 12

cars and 3 minivans. If there were 3

people in each car and 7 people in

each van, how many people went on

the field trip?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Which sign makes the sentence true? 2.4 x ? 4.45 x

a. < b. > c. = Answer:

2. What is 456.8 rounded to the nearest hundred? Answer:

3. A restaurant magazine visited two restaurants and gave positive and negative reviews. The Happy Mexican restaurant got 16 positive reviews and 24 negative reviews. The Italian restaurant got 36 positive reviews and 14 negative reviews. In which restaurant did the reviews show a higher ratio of positive to negative reviews?

Answer:

4. Convert to a fraction. Answer:




Problem:

Estimate the sum. Round each

number to the nearest whole number

and then add.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Which fraction is less?

Answer:

2. Put these fractions in order from smallest to largest.

Answer

3. How do you write 82% as a decimal?

Answer:

4. Tina has 8 coins which are all pennies or quarters. The value of the coins is $1.53, how many of each coin does she have?

Answer:

5. A four foot piece of fabric costs $9.60. What is the cost per inch? Answer:




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Mike details cars at the car wash for a part time job. If he can clean 4 cars in 3 hours, how long will it take for him to complete 10 cars? Assume the relationship is directly proportional.

Answer:

2. This equation shows how the cost of renting a van depends on how many hours it is rented for.

The variable h represents the number of hours the van is rented for, and the variable d represents the cost in dollars. How long will Joe have van if he pays $330?

Answer:


4. Solve for k: Answer:

Problem:

This equation shows how the amount

of money left to raise is related to the

number of cakes that Leroy has sold.

After Leroy sells 3

cakes, how much money will he still

have to raise?

Answer:




Problem: Solve for y. Write your answer with y first, followed by an inequality symbol.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer: 2. Solve for g. Write your answer with g first followed by an inequality symbol.

Answer:


a. 14 b. 10 c. 26 d. 15

Answer:

0 1 2 3 4 5 6 7 8 9




Problem:

The scale drawing was 1 cm.= 1 meter.

If the drawing of the bedroom is 6 cm

by 11 cm, what were the actual

dimensions of John’s room?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Darrin measured a house and made a scale drawing. In real life, the patio is 10 meters long. It is 5 centimeters long in the drawing. What is the scale of the drawing?

Answer:

2. If triangle ABC is similar to triangle XYZ, what angle is equal to angle BCA?

Answer:

3. Look at the figure below (all edges are equal). If the lengths of the sides are all doubled, what does the volume of the figure do? Pick the best answer.

a. The volume goes up the factor of four. b. The volume becomes half. c. The volume doubles. d. The volume goes up the factor of eight.

Answer:

24

15

12 12

A C

B

Z X

Y

?




Problem:

Draw a quadrilateral with two sets of

parallel sides and all right angles.

Answer:

or

Discuss is a rectangle always a square? Is a square always a rectangle?

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Draw a triangle with sides of 6 cm, 8 cm. and the hypotenuse of 10 cm..

2. Draw a triangle with angles of 60°, 60° and 60°


Answer:




Problem:




Answer:

The shape created would be a circle.

identical to the base of the figure.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. If the square prism is cut through parallel to the base, what shape is made?

Answer:

2. If the cone is cut through parallel to the base, what shape is made?

Answer:

4in.

4 in. 4 in.




Problem:

The old redwood tree was hit by

lighting and had to be removed. If the

tree has a diameter of 14 feet, what is

the cross sectional area of the tree.

Use 3.14 for and round your answer

to the nearest tenth.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What part of the circle is shown? Answer:

2. The diameter of the circle is 35 inches, what is the radius? Round up. Answer

3. The child’s ball had a circumference of 113.04 inches. What is the diameter of the ball? Round up.

Answer:

4. The McKinney’s new house has a large circular window in the living room. They want to cover it with sun-blocking film. If the window has a two feet diameter, how much film will they need in square inches? . 3.14 = ; round your answer to the nearest tenth.

Answer:




Problem:

Find the measure of Angle X in the

drawing below. What name can be

given to this pair of angles?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. In Taylorville the street s came together as seen in the drawing.

If the parking lot corner is a 148° angle, what is the corner in the park? Answer:

2. If the two lines below are perpendicular, what are the measurements of angle A and angle Z? What special name could I give these two angles?

Answer:

109°

x

Park Parking lot for

shopping mall

A

Z




Problem:

A garden shaped like a right triangle

has the measurements shown in the

drawing. If Mr. Ross will put fertilizer

down in the garden, how much area

will he cover with fertilizer?

Answer:

96 square feet

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Mrs. Samuel is putting a new color of paint on 2 walls in her dining room. One wall is 14 feet long by 8 feet high and the second wall is 12 feet long by 8 feet high. If each gallon of paint will allow for two coats (Mrs. Samuels will put on two coats) of paint to cover about 200 square feet, will she need more than one gallon of paint? Why or not?

Answer:

2. The small suburb needs to paint the water tower in town. How much water can the water tower hold? How much paint will they need to cover the whole thing (remember the tower sits on the ground and the base will not be painted). Use 3.14 equals .

Answer:

12 feet

16 feet

Height= 35 feet

Radius =10 feet




Problem:

The probability of an event at school

happening is 1. What does this mean?

a. Never

b. Always

c. Some of the time

d. Half of the time

Answer:

B. Always

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The school principal wanted to do a survey of students and their food preferences. He put all of the students’ names in a box and pulled 25 names at random. Was this a representative group?

Answer:

2. The mall owner wanted to learn more about the store owners in her mall. She went to the 6 most popular stores and asked them to fill out a survey. Is this group biased or unbiased?

Answer:

3. The probability that the earth will make one complete revolution in only 10 hours is what? Write your answer as an integer.

Answer:




Problem:

The Forest Preserve director needed

to know how many Mallard ducks

were in the parks. His employees

marked 75 Mallard ducks. Later they

captured 100 ducks, of which 45 were

marked. To the nearest whole

number, how many ducks would be a

good estimate of the population?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The scientists studying sea lions wanted to know the approximate population of sea lions in a particular area. They put tags on 110 and returned them to the area. Later that year they sent men out to count again. This time they found 50 of which 10 were tagged. Using this information, what would be a good estimate of the number of sea lions in the area?

Answer:

2. The scientist at the university farm studied grasshoppers in the crops. They marked 95 grasshoppers and released them into the fields at the university farm. Later they captured 60 grasshoppers of which 12 were marked. To the nearest whole number, how many grasshoppers are likely to be in the fields?

Answer

3. The park ranger at the national park wanted to know the approximate population of hawks in the park. They marked 15 hawks and released them into the park. Later they captured 12 hawks of which 7 were marked. To the nearest whole number, how many hawks are likely to be in the park?

Answer:




Problem: If Group A has a larger mean

than Group B, what does that mean?

If Group A has a larger absolute mean

deviation than Group B, what does

that mean?

Answer: In general, you can say that

the items in Group A are larger/bigger

and have greater variability than the

items in Group B.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. These two groups overlap by how many quartiles?

Answer: 2. About what fraction of the range do these two groups overlap? Express the amount

as a proper fraction.

Answer:




Problem:

Mr. Meyers went on a business trip

and drove the following miles each

day: 105, 65, 90, 58, and 75. What

was the mean for a day?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Instructions: Answer the following questions. 1. In the data below, if the mean is 40, what is the value of x?

a. 40 b. 60 c. 20

Answer:

2. In Susan’s experiment she collected the following data:

Calculate the mean, range, and the median. Answer: 3. Tori ‘s goal is to have an 80% average in math class. She has 75%, 76%, 92%, and 80% on

her tests. What grade does she need to make on the last test to get an 80% average? Answer:

4. Two teachers at the middle school, Mrs. Lyon and Mr. Long, were comparing grades on their common final exam. Mrs. Lyon’s class had grades on the semester final that had a range of 55 points with a high grade of 98. Mr. Long’s class had grades on the semester final exam that had a range of 30 points with a high grade of 100. Which class had the lowest grade on the test.

Answer:




Problem:

If John has a bag with 6 blue balls and

4 yellow balls, what is the probability

that a purple ball will be picked at

random?

Answer:

The probability will be 0, this cannot

happen in this situation.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. George puts each letter of the alphabet on a card in a box. If someone picks a letter randomly, what are the odds that the letter he picks is a consonant?

Answer:

2. The probability that it will snow today in the desert of Arizona in August is 0. What is the probability of snow falling in the desert in Arizona in August?

Answer:

3. In a children’s game, you get an extra turn if the spinner lands on 5. If the children’s game has a spinner equally divided into 1-2-3-4-5-6 sections, what is the likelihood that you will get an extra turn?

Answer:

4. What is the probability that the new deck of cards that Mieko purchased will have a 10 of spades?

a.

b. 0 c. 1

d.

Answer:




Problem:

If you roll a number cube with 6 sides

500 times, how many times would you

expect to roll a 2 or 4?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. At the ice cream shop, 4 out of the last 9 customers ordered chocolate ice cream. What is the experimental probability that the next person who orders will order chocolate? Simplify your answer and write it as a fraction or whole number.

Answer:

2. A coffee shop sold 8 iced coffees out of 20 drinks ordered. Of the next 35 drinks, how many will likely be iced coffees?

Answer:

3. At a factory which produces beautiful cut glass drinking glasses, 3 out of the last 15 glasses produced were not perfect. What is the experimental probability that the next glass will be imperfect? Simplify your answer and write it as a fraction or whole number.

Answer:

4. Kenneth has a rate of 60% of his free throws in this season’s games. On his next free throw, what are the odds that he will make the free throw?

Answer




Problem:

Michael puts 6 black balls and 5 green

balls in a box. What is the probability

of getting a black ball?

What is the probability of getting a

green ball?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Marc puts one letter in a box for each letter in the word: CHOCOLATE. What is the probability of pulling out an “O” out of the box?

Answer:

2. If a person randomly picks a number from 1 to 25, what are the odds that the number will be divisible by 5?

Answer:

3. What is the probability of rolling a 9 on a 6-sided dice? Answer:

4. The probability of an event happening is

. This means that the event is likely to

happen: a. Less than half of the time b. Almost all of the time c. Never d. Half of the time

Answer:




Problem:

Sarah is putting together an outfit for

the first day of school. There are 5

pairs of pants and 6 new cute tops to

choose from. How many different

outfits can Sarah put together?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What is the number of possible outcomes if you flip a coin and spin a spinner with 4 equal parts?

Answer:

2. Evaluate: 6! Answer:

3. Mrs. Johnson has Johnny, Sam, Jane, and David to put in different order. How many different ways can these four students put in different order?

Answer:

4. Mrs. Miller was making gift bags for the retreat. There are 2 snacks and 10 personal items to choose from. How many different packages can Mrs. Miller make using exactly one of each item?

Answer:




Problem:

The ages of Valerie and her mother

are in a 2:5 ratio. If Valerie is 14, how

old is her mother?

Answer:

The mother is 35 years old.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The gourmet chocolate shop on Main Street makes chocolates in star, circle, and oval shapes in a ratio of 3:8:6. If the total made on one day was 204, how many star shaped candies did they make that day?

Answer:

2. You own 230 shares of technology stock and receive a dividend of $621 this year. Find the dividend per share.

Answer:

3. Audrey bought 7 CD’s with her birthday money and spent $84. How much would three of the CD’s cost?

Answer:

4. Mrs. McDowell purchased a box of 36 pencils for $6.48. How much would 7 pencils cost?

Answer:




Problem:

Are these two ratios equal?

14 tons to 42 tons

2 tons to 5 tons

Answer:

No, 2 tons should be paired with 6

tons to be accurate.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Are these ratios equivalent?

Answer:


Answer:


Answer:

4. What is the ratio of a side of a square to the perimeter of the square if a side is 12 cm? Answer:

5. Mr. Johnson’s class has a ratio of boys to girls of 20:18. Ms. Jones’ class has a ratio of boys to girls of 18:12. Which class had a larger proportion of boys to girls?

Answer:




Problem: Write “$112.50 per 18 hours” as a unit rate. Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Which of the following is a valid proportion?

Answer:

2. Dan and Kelly made 12 pans of lasagna for the fund raiser and it took them 4 hours. If they had made 42 pans of lasagna, how long would it have taken? Assume the relationship is directly proportional.

Answer:


x 3 4 5 6

y 7 9 11 13

Answer

4. The scale on a map is 1.5 cm= 60 kilometers. How many kilometers are represented by 12.5 centimeters?

Answer:




Problem:

The Morgan family went out to dinner

at their favorite restaurant and

purchased four entrees with these

prices; $12.50, $18.95, $11.50, and

$9.50. If Mr. Morgan left a 20% tip,

what was the total for the dinner?

Answer:

The total for the meals is $52.45 and

the tip is $10.49, therefore the total is

$62.94.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What is 35 ?

Answer:

2. Complete this equation: ________% Answer:

3. At the college graduation, 34% of the students graduated with honors. If there were a total of 1050 students, how many graduated with honors?

Answer

4. Of the 760 members of the senior class, 532 of them went to the Senior Prom. What percent of the students went to the Senior Prom? Write your answer with a percent sign.

Answer:

5. During the sale at 25% off, Terry purchased a new suitcase. If he paid $56.25 for the suitcase on sale, what was the original price?

Answer:




Problem:

Is this equation true?

Answer:

Yes, the addition of opposites always

equals zero.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

| | | |


1. What is the opposite of ?

Answer:

2. Evaluate: | | Answer:


d. > e. < f. =

Answer:


Answer:

5. Write your answer as a decimal. Solve: Answer:




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Problem:

The deep sea diver began the dive at

50 feet below sea level. The first day

he swam 250 feet down. How many

feet below sea level was he on the

first day’s dive?

Answer:


1. What integer represents this situation? A paycheck of $350?

Answer:


Answer:

3. Add $75.69 Answer:

4. Simplify: 3

Answer:

5. Complete:

Answer:




Problem:

Simplify the expression:

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Complete the equation.

Answer:


Answer:

3. What is the multiplicative inverse of 2

?

Answer:

4. Mr. Lewis lost $113.10 on 130 shares of stock. How much did he lose on each share of stock?

Answer





Problem: Divide. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Multiply:

Answer:

2. Divide: Answer:


4. Write as a fraction in simplest form. Answer:

5. Which property of multiplication is shown? e. Distributive f. Identity g. Zero h. Commutative

Answer:




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Mrs. Long is balancing her check book. These were the entries:

Answer

2. Chris delivers newspapers each morning and travels approximately 2.5 miles on one morning. If he delivers papers 5 mornings a week, how far does he travel in a month (4 weeks)?

Answer:

3. The yard service had 3

bags of fertilizer in the truck. If the use

of a bag for each

yard, how many yards can they complete before purchasing more fertilizer? Answer:

4. Laura baked 2 cakes that used

cups of sugar each. Then she baked two batches of

cookies that used

cups of sugar each. If she only had 4 cups of sugar, how much

will she have left over? Answer:

Problem:

For three months, Mr. Martin had

bills from the gas company for

$40.56, $35.89, and $75.00. What

was the total he paid to the gas

company? If he continued with the

gas service, about what would you

expect he spends in 12 months?

Answer:

$151.54; About $605.80




Problem:

Mr. Jennings started with 6

cups of

barbeque sauce that he wanted to

give away to 6 friends. How much

would each friend receive?

Answer:

$1944.00

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Tom had

of the bag of weed killer remaining. If Tom uses

of the remaining weed

killer, how much does he have left now? Answer:

2. The chef had

cups of spaghetti sauce to serve tonight. If each plate takes

cups

of sauce, how many plates can he serve? Answer:

3. Alex had 10

pints of a special ink. On Monday he uses 1

pints and on Wednesday

he uses 4

pints of the ink. How much is remaining?

Answer:

4. Complete the equation: Answer:




Problem:


Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Simplify the expression:

Answer:


e. commutative f. distributive g. identity h. associative

Answer:







Problem:

Translate “six less than 3 times an

unknown equals thirty” into a

mathematical expression. Solve for

the unknown.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Translate “the difference between five times a number and eleven” into a mathematical expression.

Answer:

2. Translate “the square of a number added to the product of three and the number” into a mathematical expression.

Answer:

3. Translate “the product of a number and six more than the number” into a mathematical expression.

Answer:

4. Translate “a number decreased by six is thirteen” into an equation and solve. Answer:

5. Translate “the sum w and the product of 12 and w” into a mathematical expression. Answer:




Problem: Gina and her friends went to

a mall on Saturday afternoon. It took

30 minutes to drive to the mall. They

arrived at the mall 1 hour before the

special event at the popular store

started. Once it started, the event

lasted for 2 hours and ended at 6:30

P.M. What time did Gina and her

friends leave for the event?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Betty and Sandra were comparing the amount of chlorine they each had in a beaker

in chemistry class. Betty had 1

cups and Sandra had 2

cups. Who had more and

how much more? Answer:

2. Ben and his two friends went to a movie on Sunday afternoon. They left the house at 3:45 P.M. It took 30 minutes to drive to the theater, and they arrived 45 minutes before the movie started. What time did the movie start?

Answer:

3. A three gallon bucket of paint costs $108.00. What is the price per pint? Answer:

4. What is 245

rounded to the nearest whole number?

Answer:

5. Write 3

as an improper fraction.

Answer:




Problem:

10 of the students in Mr. Matthew’s

class have been to Arkansas. 14

students have been to Texas, and 5

students have been to both Arkansas

and Texas. How many students have

been to Arkansas but not Texas? (Hint,

use a Venn Diagram to solve)

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The school nutritionist asked Mrs. James’ class about what ice cream flavors they

liked. 15 liked chocolate, 16 liked vanilla, and 8 liked both. How many liked only vanilla? (Hint, use a Venn Diagram to solve.)

Answer

2. The school has 12 boxes of silverware in the cafeteria. Each box holds 36 forks and 36 spoons. About how many pieces of silverware does the school have? Choose the better estimate. (Hint, round each part of the problem and calculate.)

a. 600 b. 800

Answer:

3. How do you write

as a percent? Use a percent sign.

Answer:

4. How do you write .7 as a percentage? Use percent sign. Answer:

5. How do you write

as a percentage? Use a percent sign.

Answer:

Did visit

Arkansas

Did visit

Texas




Problem: This equation shows how

the number of squash plants Erica can

have in her garden is related to the

number of seed packets she

purchases.

The variable x represents the number

of seed packets she purchases, and

the variable p represents the total

number of squash plants in the

garden. With 3 seed packets, how

many total flowers can Erica have in

her garden?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. This equation shows how the number of gift bags that Janet has left is related to the

number of customers she has waited on that day when she gives the bags away.

The variable c represents the number of customers she waits on, and the variable b represents the number of bags she has left. If Janet waits on 14 customers, how many gift bags will she have left?

Answer:

2. If George can wash 3 cars for the school fundraiser in 4 hours, how long will it take him to wash 18 cars this week?

Answer:






Problem: Solve for w. Write your answer with w first, followed by an inequality symbol. Which of these numbers can be a value for w?

a. 14 b. 8 c. 12 d. 10 e.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer: 2. Solve for k. Write your answer with k first followed by an inequality symbol.

Answer:


e. 9 f. 18 g. 15 h. 14

Answer:

0 1 2 3 4 5 6 7 8 9




Problem:

Pierce is a police officer. On the first

day of school, he travels to the high

school, which is 84 kilometers away

from his home. On a map of Jefferson

County, these two places are 4

centimeters apart. What is the map's

scale?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Christine made a scale drawing of the mall. The department store, which is 120

meters wide in real life, is 120 cm. wide in the drawing. What scale did Christine use? Answer:

2. These two shapes are similar, what is the missing length?

Answer:

3. Look at the figure below. If the lengths of the sides are all doubled, what does the area of the figure do? Pick the best answer.

e. The area goes up the factor of four. f. The area becomes half. g. The area doubles. h. The area stays the same.

Answer:

12 16

9 ??




Problem:

Draw a regular equilateral triangle.

Answer:

All triangles should have equal sides

and equal angles.

Example:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Draw an isosceles triangle with a base of 5 inches.

2. Draw a square with 6 inches sides.

3. Will these three triangle side lengths create a triangle? Answer:




Problem: Describe the 2-dimensional

shape created if a planar cut is made

parallel to the base of the figure

below.

Answer:


rectangle similar to the base of the

figure.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. If the hexagonal prism is cut through parallel to the base, what shape is made?

Answer: 2. If the pyramid with a square base is cut through parallel to the base, what shape is

made? Answer:




Problem:

The toy company is making a package

with two balls end to end. They want

to know how long the container will

need to be. If the circumference of

each ball is 31.4 cm, how long will the

container be? (Hint, find the diameter

from the known circumference. Add

two diameters together. Use 3.14= )

Answer:

20 cm.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What part of the circle is shown?

Answer:

2. The radius of the circle is 9 cm, what is the diameter? Answer:

3. A utility circular hole has a metal cover that is 4 feet in diameter. The metal used to make it weighs 6.4 pounds per square foot. How much does the manhole cover weigh (round to the nearest whole pound; use 3.14 = )?

Answer:

4. A Ferris wheel at the county fair has a diameter of 55 meters. How far would you go around in one turn

Answer:




Problem:

Which angles are adjacent to ?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Which angle is congruent to ?

Answer:

2. Below is a right angle. What is the measure of

3. Using the drawing above, what name can you give ? Answer:

1

2 3

4

A

E D

C

B

Z

X Y

K

36

°




Problem:

What is the volume?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. This is a can being made by a soup company. They need to know how much paper

will be needed to make the label. What is the lateral area of this cylinder? Use 3.14= .

Answer:

2. What is the surface are of the prism?

Answer

3. What is the volume of the above prism? Answer:

8

cm. 14

cm. 6

cm.

Height of can is 8 inches

Diameter of can is 4 inches

12

in.

5

inches

9

in.




Problem:

At the State Fair which survey option

would produce a more representative

sample of the state population?

c. Asking the people at the games

d. Asking the people at the animal

competitions

e. Asking the people at the

quilt/textiles exhibitions

f. None of these

Answer: None of these choices would

yield a good representation of the

state’s general population.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The CEO of the electronics company wanted to give away a vacation weekend to one

employee and his family. He wrote the names of all employees on slips of paper and put them in a bin and had a neutral person draw out a name. Was this a random selection?

Answer:

2. Steve tossed a handful of old pennies into the air, then picked up the 15 coins that landed tails up. Is this a random sample of the coins?

Answer:

3. In the early morning (it is still dark), before school Luann picked out 4 blouses from her closet. Is this sample of the blouses in the closet likely to be biased?

Answer:




Problem:

Mr. Hart is a biologist who studies

penguins. To estimate the size of the

colony that he is studying, he catches

25 penguins and tags them. In three

months, his team catches 70 penguins

and finds that only 10 of them are

tagged. To the nearest whole number,

what is the best estimate for the

penguin population?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


3. The Forest Preserve animal specialists wanted to know how many coyotes were in

the parks. They put tags on 30 and returned them to the parks. Later that year they sent agents out to count again. This time they found 60 coyotes of which 18 were tagged. Using this information, what would be a good estimate of the number of deer in the park?

Answer:

4. The resort owners paid for research to determine how many moose are in their area of the mountains. The employees put marks on 70 moose to help make an estimate of the local moose population. Weeks later, the employees flew over the area and counted a total of 1,200 moose, of which 52 were marked. To the nearest whole number, what is the best estimate for the moose population

Answer:

5. Local animal control agents captured, tagged, and released 36 chipmunks as part of a study. Months later, they counted 125 chipmunks, of which 15 had tags. To the nearest whole number, what is the best estimate for the chipmunk population?

Answer:




Problem: Jack wanted to compare

the mean for two groups comparing

the grades on a final exam. What is

the difference in the averages (round

averages to nearest whole number)?

Group 1 60, 75, 76, 57, 80 Group 2 90, 75, 88, 92, 89

Answer: Group 1 average is 17 points lower.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Kayla and Dolores both had garage sales on the weekend. Each of the women counted

their sale amounts each night of the garage sales. Kayla’s garage sale $34.50 $39.10 $26.00 $33.00 Dolores’ garage sale $45.00 $37.40 $51.50 $28.60

Which garage sale had a larger range in the daily sales amounts? Answer:

2. Looking at the two groups’ data, which would you expect to have the higher mean? Why

or why not? a. 40, 55, 60, 71, 20, 45 b. 80, 75, 85, 90, 58, 84

Now, calculate and determine if you were correct. Discuss with your neighbor what information did you take into consideration and why.

Answer:




Problem: Zach helped his sister move

her things to a new apartment. They

weighed all of the boxes he was

moving. Zach moved 6 boxes with the

following weights in pounds.

38 45 61 42 69 36 What was the mean and range for the

weights of the boxes Zach moved?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. In the data below, if the range is 27, what is the value of x?

a. 20 b. 11 c. 12 Answer:

2. In Willie’s experiment he collected the following data:

Calculate the mean, range, and the median (round to the nearest whole number). Answer:

3. Look at this set of 7 numbers. How would the mean change if the number 18 was replaced with 70?

a. Decrease b. Increase c. No change

Answer:




Problem:

If any person randomly picks a letter

from A to Z, what is the probability

that the letter will be the first letter of

my name?

Answer:

The probability is only

or 3.85%.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Cards were made with the symbols below:

If the cards were put in a box and pulled out randomly, what is the probability of getting a circle?

If the cards were put in a box and pulled out randomly, what is the probability of getting a triangle?

Answer: 2. In a children’s game, you lose your turn if the spinner lands on a 3. The spinner for

the game is equally divided into 1-1-2-3-3-4-5-6-portions. What is the likelihood you will lose a turn?

Answer:

3. If a person throws a normal 6-sided die, what are the odds that an odd number will land facing up? Write you answer as a percent.

Answer:




Problem:

Gayle gets 12 tails when flipping a

weighted coin 16 times. What is the

experimental probability that the next

flip will come up tails? Simplify your

answer and write it as a fraction or

whole number.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. At the bakery, they sold 20 do-nuts, of which 8 of them were chocolate cake donuts.

What is the likely number of the next 15 customers that will buy chocolate cake donuts? Simplify your answer and write it as a fraction or whole number.

Answer:

2. Janice was flipping a coin from a magician’s store. She got heads 18 out of 22 flips. What is the probability that the next flip will be heads?

Answer:

3. The first graders had center time every morning when the students choose which activity to enjoy. Of the 24 students, 10 went to drawing, 12 went to play with blocks and the rest did their own activities. Based on this data, if the class had 36 children, how many would go to the drawing center?

Answer:

4. Vicki is playing a yard game in which she throws bean bags in holes. She hit the center hole for 10 points 5 out of the 20 throws. What is the experimental probability of getting the bean bag in the center hole?

Answer:




Problem:

The numbers 1 through 45 each are

written on small balls. What is the

probability that the first ball picked

will have the number 21 on it?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Mark and Tracy own a stable where horses can stay. If the stable boards 26 horses

and 4 of them are black, what is the probability that the next horse will be black? Answer:

2. Len’s Dad has many ties to wear to his banking job. He has 60 ties, of which 12 are polka dot ties. If Len’s Dad would choose a tie at random, what is the probability he will chose a polka dot tie? Simplify your answer and write it as a fraction or whole number.

Answer:

3. Brian missed 5 out of the last 14 basketball shots. What is the experimental probability that Brian will miss the next basketball shot in the game?

Answer:




Problem:

At the sandwich shop they have 5

kinds of meats and 3 kinds of cheese

and 2 kinds of bread. How many

different types of sandwiches can be

made?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The child is pulling different colored crayons out of a box. First, he pulls out Sienna

Brown and then Forest Green. Are these two events dependent or independent? Answer:

2. The parts for the play are being announced. The lead singer is introduced first and the backup singer is introduced next. Are these two events dependent or independent?

Answer:

3. The game has a spinner with evenly divided parts with A, B, and C parts. What is the probability of not getting A or B?

Answer:




Problem:

At the hardware store, Mr. Michaels

wants to cut a rope 23

yards into 8

pieces. How long was each piece?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Mr. Law’s car gets 36 miles per gallon of gasoline. How many miles can Mr. Law drive on a

full tank of gas of 14

gallons of gasoline?

Answer:

2. The math textbook is

inch thick. How much space will 32 books need on the shelf?

Answer: 3. The print shop is creating a banner for a customer. The ratio of width to length is 5:7, if the

width is 30 inches, how long will the banner be? Answer:

4. A 6 yard roll of wallpaper costs $46.08. What is the cost per foot?

Answer:




Problem:

The office will be having a holiday

party. If 85 employees attend, it will

cost$425.00. If 120 employees

attend, it will cost $600.00. What is

the cost per person for the party?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer


Answer:

3. The special effects designer is making a model of an airplane. The actual airplane is 90

feet long and has a wing span of 88 feet. If the model of the plane is 18 inches, how

wide is the model?

Answer:

4. The lady in the jewelry making class is making sterling silver which is made by

combining silver with copper. The ratio used is silver: copper is 23:2. How much

copper will she need to combine with 69 kg of silver?

Answer:

5. A recipe uses 5 cups of cream to make 12 servings. How much cream will the chef

need to make 300 servings?

Answer:




Problem: Solve the proportion:

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer:

2. Jonathan is selling wrapping paper for a fund raiser. He is selling 3 roll so wrapping

paper for $9.99. How much would five rolls cost? Assume the relationship is directly

proportional.

Answer:

3. Fill in the missing number to complete the linear equation that gives the rule for this

table.

x -1 0 1 2

y -4 -1 2 5

Answer

4. Sixty-five feet of lumber costs $159.25. What is the cost per foot? Assume the relationship is

proportional.

Answer:




Problem:

Melissa purchased a new purse on

sale. If she paid $41.30 for the purse

on sale, what was the original price?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What is ?

Answer:

2. Complete this equation: ________% of 140=98.

Answer:

3. The man had a physical exam at the doctor and his weight went up 5%. If his weight

was 200 pounds last year, what is his weight this year?

Answer:

4. The cafeteria workers kept records of how many students purchased lunches. What

percent of the students purchased lunches if 153 students purchased lunch out of

180? Write your answer with a percent sign.

Answer:

5. Homero has $400 in a savings account that earns 5% annually. The interest is not

compounded. How much interest will she earn 2 year? Use the formula

where i is the interest earned, p is the principal (starting amount), r is the interest

rate expressed as a decimal, and t is the time in years.

Answer:

30% OFF




Problem:

Carl went to balance his checkbook at

the first of the month. He calculated

the following entries:

What is his ending balance?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

| | | |


1. Evaluate | |

Answer:

2. Evaluate:

Answer:


g. >

h. <

i. =

Answer:

4. The temperature started out at 80° on a summer morning. A cold front came

through the city and the temperature dropped 21° by noon. The end temperature

went up 5°. What was the ending temperature for the day?

Answer:




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Problem:

During a TV game show, Darrin earned

250 points on the technology question

and lost 50 points for ringing his bell

at the wrong time. What was his total

for points?

Answer:


1. What integer represents this situation? A withdrawal of $550 from my savings

account.

Answer:


Answer:

3. Add

Answer:

4. Which equation shows identity property of multiplication?

e. 23 = 1 · 23

f. (8 – 2) · 6 = 6 · 8 – 6 · 2

g. (1 · 4) · 5 = 1 · (4 · 5)

h. 8 · 4 = 4 · 8

Answer:




Problem:

Multiply. Simplify your answer and

write it as a proper fraction or a whole

number.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Divide. Simplify your answer and write it as a proper fraction or a whole number.

Answer:

2. Is the answer to this equation positive or negative? Solve.

Answer:

3. Jena purchased 5 gifts for her friends’ birthday parties. If she spent $109.75 on all of

the gifts, how much did she spend on each friend?

Answer:

4. Multiply:

Answer




Problem:

Is 3

a natural number?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Is 24.67 an integer?

Answer:

2. Calculate:

Answer:


Answer:

4. Write

as a decimal.

Answer:


a. Distributive

b. Identity

c. Zero

d. Commutative

Answer:




Problem:

The butcher had 24.75 pounds of

ground beef. He made 6 packages of

2.5 pounds each. How much

remained?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Which sign makes the sentence true?

a. <

b. >

c. =

Answer:

2. Chuck’s drive to work took

if an hour and Ron’s drive to work took

of an hour.

Who drives longer to work?

Answer:

3. The restaurant owner purchased 4.5 pounds of black pepper, 2.3 pounds of white

pepper, and 3.4 pounds of red pepper. How much did he purchase in all?

Answer:

4. Janie bought her school supplies for the next semester. She purchased a textbook

for $39.50, 2 notebooks for $2.00 each, pens and pencils for $8.95 together. How

much did Janie spend in all?

Answer




Problem:

The Robertson family needed new

living room furniture. They found

lovely couch and loveseat

combination for $1200. There was a

sale that day and the set was

off.

What was the new price for the set?

Answer:

$1944.00

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Multiply. Simplify your answer and write it as a proper fraction or as a whole or

mixed number.

Answer:

2. Divide. Simplify your answer and write it as a proper fraction or as a whole or mixed

number.

Answer:

3. The new restaurant owner uses

cup of sugar for each German Chocolate cake. If he

has

cups of sugar yesterday, how many cheesecakes can he make?

Answer:




Problem:

Solve this equation:

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer:


a. commutative

b. distributive

c. identity

d. associative

Answer:


Answer:

4. Simplify:

Answer:

5. Simplify:

Answer:




Problem:

Translate “the product of 8 more than

a number and the number”.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Translate “the quotient of y and the sum of y and 3” into a mathematical expression.

Answer:

2. Translate “the sum of two-thirds of v and v” into a mathematical expression.

Answer:

3. Translate “seven less than the total of nine and the unknown” into a mathematical

expression.

Answer:

4. Write an equation and solve: .”

What is the number?

Answer:




Problem:

Which answer will make this sentence

true?

a. <

b. >

c. =

Answer:

b

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Create a Venn diagram to solve this problem. Mr. Pringle’s class was doing a project

and the students listed all of the cities they had visited. Fourteen students had

visited Washington D.C. and 20 students had visited Jamestown. If 7 students visited

both cities, how many students are in the class in all?

Answer:

2. What is 366.178 rounded to the nearest tenth?

Answer:

3. For lunch, Roberta purchases a salad for $7.95 and for dinner she had a steak entrée

for $25.95 and coffee for $2.50. How much more did she spend on her dinner items?

Answer:

4. Write

as a mixed number>

Answer:




Problem:


number to the nearest whole number

and then add.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Which fraction is less?

Answer:

2. Put these fractions in order from smallest to largest.

Answer:

3. How do you write 125% as a decimal?

Answer:

4. Tina has 9 coins which are all nickels or dimes. The value of the coins is $0.75, how

many of each coin does she have?

Answer:




Problem:

Janice had $35 to spend on school

supplies. She purchased a textbook

for $15.50 and 6 tablets each costing

$2.50. How much does she have left?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Jena cleans houses to earn extra cash to pay for college classes. If she can clean 2

houses in 4 hours, how many hours will she need to clean 5 houses? Assume the

relationship is directly proportional.

Answer:

2. This equation shows how the cost of renting a room in the convention center

depends on how many hours it is rented for.

The variable h represents the number of hours the room is rented for, and the

variable c represents the cost in dollars. How long will Mr. Smith have the room if he

pays $1550? Discuss what the $350 is for in this situation?

Answer:

3. Solve for t:

Answer:

4. Solve for k:

Answer:




Problem: Solve for y. Write your answer with x first, followed by an inequality symbol.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer:

2. Solve for r. Write your answer with r first followed by an inequality symbol.

Answer


a. 7

b. 15

c. 27

d. 14

Answer:

0 1 2 3 4 5 6 7 8 9




Problem:

Julie made a scale drawing of her

cabin at the lake. The scale she used

was 1 mm=10 meters. If the actual

width of the cabin is 40 feet, how

wide is the cabin on the drawing?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Sherry measures the stage at school so they could draw the scenery for a play on the scale drawing. If the scale is 1 yard=1 inches, how big would the drawing be for the stage if it measures 20 yards by 15 yards?

Answer

2. If these two triangles are similar, what is the unknown side?

Answer:

3. Look at the figure below (all sides are equal). If the lengths of the sides are all doubled, what does the area of the figure do? Pick the best answer.

a. The area goes up the factor of four. b. The area becomes half. c. The area doubles. d. The area goes up the factor of eight.

Answer:

90°

42°

48°

4

5

3

90°

42°

48°

8

??

6




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Draw a triangle with sides of two equal sides and one side that is a different length. What is

true about the angles?

2. Draw a triangle with equal lengths for the sides. What is true of the angles?


Answer:

Problem:

Draw a triangle with three different

lengths for the sides? Then measure

the angles. What do you find?

Answers will vary. Possible answer:




Problem:




Answer:


rectangle identical to the base of the

figure.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. If the cylinder is cut through parallel to the base, what shape is made?

Answer:

2. If the pentagonal prism is cut through parallel to the base, what shape is made?

Answer:




Problem:

The old dart board at the summer

cabin was a circular shape with 4

equal rings of different colors. If the

diameter of the entire circle is 2 feet,

what is the area of one of the colored

rings (Use 3.14= ?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. If the radius of the circular garden is 6 feet, what is the area of the garden? Use 3.14

as .

Answer:

2. The children’s pool had a diameter of 14 feet, what is the radius?

Answer:

3. Jack calculated the area of a round area rug. If the area of the rug was 200.96 square

feet, was the radius? Use 3.14 as pi.

Answer:

4. Roger does maintenance on the large circular ride at the amusement park. He must

go around the circle checking gears. If the distance he goes around the circle is 125.6

feet, what is the circle’s diameter? Use 3.14 for pi.

Answer:




Problem:

Find the measure of Angle X in the

drawing below.

Answer:

Answer:

X

2X+15

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Using the drawing below, find the measurements of .

Answer: °

2. Using the drawing below, find the measurements of .

Answer:

B

A

68°

122°

C

J K

34°

I 98°

H G




Problem: The farmer on Main Street

is planning a fence around his

vegetable garden. See below for the

shape and size of the garden. How

much fence would he need to fence it

on all sides?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What 3-dimensional shape will this net create when folded?

Answer:

2. What 3-dimensional shape will this net create when folded?

Answer:

12 feet

16 feet




Problem:

The probability of an event at school

happening is 0. What does this mean?

a. Never

b. Always

c. Some of the time

d. Half of the time

Answer:

a. Never

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Dr. Sones put on a blind fold and picked numbers out of a hat. Is this sample of numbers

from the hat likely to be biased?

Answer:

2. Mrs. Nelson surveyed 37 people at the country club about their ideas about city government.

Is this a representative sample of the city residents?

Answer:

3. The probability that it will snow today is

. What is the probability that is will not snow?

Write your answer as a fraction.

Answer:

4. The probability of an event to happen is

. This statement means that the event is likely to

happen

a. Less than half of the time

b. More than half of the time

c. Never

d. Almost all of the time

Answer:




Problem:

The park ranger at the national park

wanted to know the approximate

population of eagles in the park. They

marked 20 eagles and released them

into the park. Later they captured 12

eagles of which 8 were marked. To the

nearest whole number, how many

eagles are likely to be in the park?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. To monitor the elk population in the mountains, employees put a mark on 23 of the

elk. Later, they flew over and counted what they saw. They counted 50 elk, of which

10 were marked. To the nearest whole number, how many elk are likely to be in the

mountains?

Answer:

2. On the Pacific island the researcher was studying how the change in the foliage has

affected the sea turtle. He captured 25 of them, marked them and released them.

Later, they counted 45 turtles, of which 9 were marked. To the nearest whole

number, how many sea turtles are likely to be in the fields?

Answer

3. Scientists captured, tagged and released 40 deer as part of the state’s animal

research. Later, the scientists returned and counted 18 tagged deer out of 60 deer.

To the nearest whole number, how many deer are likely to be in the state park?

Answer:




Problem: Bruce is comparing two

groups’ grades on a particularly

difficult science test. How do the

ranges for these two classes compare?

Class A:

Class B:

Answer: Class A range=18 and Class B

range=17; Class A had a larger range.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Kylee and Joel purchased school items. How do the averages per item differ for

these two people (Round the average to the nearest cent.)?

$.45, $1.50, $.89, $1.85, $.95

Answer:

2. Joy sold Kool-Aid punch at the corner for a week and Nicole sold cookies. They wrote

down their sales.

Joy: $2, $3, $5, $6, $8, $4, $6

Nicole: $2, $4, $3, $5, $7, $6, $8

Who had the higher average sales?

Answer:

3. Using the data from Joy and Nicole, what is the difference of the ranges?

Answer:




Problem: Look at these 11 numbers:

How would the mode change if the

number 8 replaced one of the 5’s?

a. Decrease

b. Increase

c. No change

Answer:

b.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Using the chart below answer these questions. If the total number of boys and girls for each

grade is divided into 2 classrooms, what is the size of 7th grade classrooms?

2. If you look at the total number of boys in the middle school, what is the average number of boys

for each grade?

3. What is the range for the number of girls in each class?

4. What is he range for the number of boys in each class?

21

16

12

15

20 18

0

5

10

15

20

25

Grade 6 Grade7 Grade 8

Number of boys and girls in middle school grades

Boys

Girls




Problem:

The game has a spinner divided into 3

equal sections. The sections are

labeled A, B, and C. What is the

probability that the spinner will stop

on a consonant?

Answer:

The probability will is

.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. A box contains 4 yellow balls, 3 red balls, and 7 purple balls. What is the probability

that you will not draw a red ball?

Answer:


, what is the probability of that event not

happening?

Answer:

3. The Parker family has 8 vehicles they use, of which two are trucks. What is the

probability if you choose the keys randomly that you will get a truck? Simplify your

answer and write it as a fraction or whole number.

Answer:




Problem:

If you flip a coin 10 times, what is the

best prediction possible for the

number of times it will land on tails?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Paige surveyed some of the children at swim class about their favorite pets. Twelve

children picked dogs, 8 children picked cats, and 4 picked snakes. If she was to ask 45

other children, how many would likely pick cats?

Answer:

2. Susan asked students about their favorite subject at school. Seven picked science, 9

picked history, 12 picked math, and 7 picked English. What is the experimental

probability that the next student Susan asks will pick English? Simplify your answer

and write it as a fraction or whole number.

Answer:

3. At a factory which produces electronics parts, 4 out of the last 9 parts produced were

defective. What is the experimental probability that the next part will be imperfect?

Simplify your answer and write it as a fraction or whole number.

P(defective=)

Answer:

4. The local bakery on Main Street sold 7 German Chocolate Cakes, 6 Vanilla cakes, and

3 Red Velvet cakes. Considering this data, how many of the next 40 cakes purchased

will be Vanilla?

Answer:




Problem:

Sasha puts 4 pink chips and 7 purple

chips in a box. What is the probability

of not getting a pink chip?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The traffic light is red 25 seconds, yellow for 5 seconds, and green for 30 seconds.

When you approach the light, what is the probability that the light will be green?

Answer:

2. If a person randomly picks out a card from a standard deck of cards, what is the

probability of getting a red card?

Answer:

3. What is the probability of getting a 3, 4, 5, or 6 on standard dice?

Answer:

4. A total of 300 raffle tickets are being sold. A ticket will be picked at random for the

prize. If Natalie buys 8 tickets, what is the probability that she will win the prize?

Answer:




Problem:

Lloyd is getting ready for the first day

of school. There are 8 pairs of pants

and 4 plaid shirts to choose from. How

many different outfits can Lloyd put

together?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. If you have 6 red chips, 4 blue chips, and 5 yellow chips in a bag, what is the

probability of picking a red chip (returning it to the bag) and then picking a yellow

chip? (These are independent events.)

Answer:

2. Evaluate: 4!

Answer:

3. There are slips of paper with M-I-S-S-O-U-R-I on the papers. What is the probability

of picking “S”, not returning it to the container and then picking an “I”? (These are

dependent events.)

Answer:

4. Using a standard 6 sided-dice, what is the probability of getting even or less than

three? Write your answer as a percentage rounded to a whole number.

Answer:




Problem:

During the big snow storm the city

had 33.3 inches of snow in 9 hours.

What is the rate of snow in inches per

hour?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The ratio of Sharon’s mother’s age to Sharon’s age is 3:1. If Sharon’s mom is 39 years old, how old is Sharon?

Answer:

2. The local discount grocery chain has colas on sale for $2.58 for 6 cans. What is the cost of 3 cans of cola?

Answer:

3. Remembering this common equation: If an object travels a distance of 180 miles in 6 hours, what is the rate?

Answer:

4. A beautiful decorator fabric costs $24.95 a yard. Rounded to the nearest cent, how much is this fabric per inch?

Answer:




Problem:

The local train miniature train club is

making a large display for Christmas.

The scale of the trains and display will

be 1 cm=1 m.

If the water tower in the display is 52

cm. high, how tall is the real water

tower?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Look at this graph. Is the relationship proportional?

Answer:

2. The table shows how the total number of poems written depends on how many creative writing classes Hannah has attended.

Number of classes, x 3 4

Number of poems, y 15 20

How many poems does Hannah write each class? Answer:

y

x

1

2

5

6

8

9

7

4

3

1 2 5 6 8 9 7 4 3




Problem: A pink color is made by mixing white and red paint. The ratio of white: red paint is 2:7. If 60 drops of white is used, how many drops of red would be needed? Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Which of the following is a valid proportion?

Answer:

2. A marathon runner at the beginning ran 4 miles in 18.4 minutes. If he can continue at this speed, how long will it take to run the entire 26.2 miles? Round your answer to the nearest whole minute.

Answer:


x 2 3 4 5

y 7 10 13 16

Answer

4. The scale on a map is 1.5 cm= 60 kilometers. How would 240 kilometers be represented on the map?

Answer:




Problem:

The Mr. and Mrs. Morrison went to a

restaurant to celebrate their

anniversary. If Mr. Morrison tipped

the waiter at 20%, and the tip was

$17.12, what was the total bill for

dinner?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What is 45 ?

Answer:

2. Complete this equation: ________% Answer:

3. A four gallon jar of punch for the party cost $28.16. What is the cost per cup? Answer:

4. What is the percent of change ? Answer:

5. Jack purchased a piece of new yard equipment at a sale of 35% off. If he paid $162.50, what was the original price?

Answer:




Problem:

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

| | | |


1. If the hikers began at 800 feet above sea level and hiked up another 250 feet, what

integer represents their elevation now? Answer:

2. Evaluate: | | Answer:


a. > b. < c. =

Answer:


Answer:

5. Write your answer as a decimal. Solve: Answer:




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Problem:

The cook for the catering company

used 3

pounds of lamb, 6

pounds of

beef, and 8 pounds of chicken to make the entrees for the scheduled dinner. How much meat did he use that night?

Answer:


1. What integer represents this situation? A dividend of $85.00?

Answer:


Answer:

3. Calculate: Answer:

4. Simplify:

Answer:

5. Complete:

Answer:




Problem:

The restaurant chef baked brownies

today. He uses ¾ pound of butter for

each pan. If he used

pounds of

butter, how many pans of brownies

did he make?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Complete the equation.

Answer:

2. Calculate:

Answer:

3. What is the multiplicative inverse

?

Answer:

4. The local orchard bottled 1260 quarts of apple cider in 6 days. What was the average amount produced in a day?

Answer





Problem: Which of the following are integers?

a. b. 8.23

c.

d. Answer: a and d

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Which of the following are natural numbers?

a.

b. 6 c. d. 25

Answer:

2. Multiply:

Answer:


Answer:


a. Distributive b. Identity c. Zero d. Commutative

Answer:




Problem:

Adam’s savings account went from

$40 to $110 over the summer as he

saved his summer job earnings.

What percent increase is this?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. John originally had 250 old time records in his collection. Last month he sold some

and now has only 50. What percent of decrease was this? Answer:

2. Mrs. Miller drives 5.2 miles in total to her work 5 days a week. How many miles will she travel in 3 weeks?

Answer:

3. Willie had collected pecans that fell off of the pecan trees and has a total of

cups

of nuts. If he puts

of a cup in each bag, how many bags can he sell?

Answer:

4. Paul uses

cups of buttermilk for each batch of pancakes he makes. Each batch

makes 8 pancakes. If Paul makes a batch of pancakes on Saturday and Sunday for 4 weeks, how much buttermilk will he use and how many pancakes will he make?

Answer:




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Herb took off in his private helicopter from the building at 75 feet above sea level. If

Herb flew up another 175 feet, what integer represents Herb’s location? Answer:

2. Don balanced his checkbook by subtracting his balance. What was the end balance?

Answer:

3. Gayle had

cups of almond flour. On Monday she uses

cups and on Wednesday

she uses

cups of the almond5 flour. How much is remaining?

Answer:

4. Complete the equation: Answer:

5. Calculate:

Answer:

Problem:

The art teacher gave each person in

the glass blowing class

pound of

glass to work with in the fire. If she

began with 15 pounds of glass and

there are 16 students in all, how

much glass will remain after the

class?

Answer:

$1944.00




Problem:


Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer:

2. Which property of addition is shown? a. commutative b. identity c. associative

Answer:

3. Simplify the expression: 5 Answer:

4. Simplify:

Answer:

5. Simplify:

Answer:




Problem:

Translate “the quotient of a number

and six is three” into a mathematical

expression. Solve for the unknown.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Translate “the product of four and the sum of nine and t” into a mathematical

expression. Answer:

2. Translate “the difference between seven and the quotient of a number and five” into

a mathematical expression. Answer:

3. Translate “fifty more than five times an unknown number” into a mathematical

expression. Answer: 5

4. Translate “g divided by the total of four and g” into a mathematical expression.

Answer:

5. Translate “two more than the product of three and a number equals fourteen” into a

mathematical equation and solve. Answer:




Problem:

Which sign makes the sentence true?

a. <

b. >

c. =

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



a. < b. > c. =

Answer:

2. Santo and his friends went to a movie on Friday night. They left the house at 6:15 P.M. It took 45 minutes to drive to the theater, and they arrived 30 minutes before the movie started. What time did the movie start?

Answer:

3. The sports department purchased a 5 gallon of sports drink for $68.00. What is the price per cup?

Answer:

4. Write

in lowest terms.

Answer:




Problem:

16 of the students in Mr. Jackson’s

class have been to Germany, 14

students have been to Spain, and 5

students have been to both Germany

and Spain. Eight students had not

been out of the USA. How many

students were in this class? (Hint, use

a Venn Diagram to solve.)

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. There were 29 students in Mrs. Patel’s class. 12 students said science was their

favorite class in school, 8 liked math and science. How many liked only math? (Hint, use a Venn Diagram to solve.)

Answer

2. Janice had 8 coins and the total value of these coins was $0.74. If the coins were only quarters, dimes, and pennies, what number of each coin did she have?

Answer:

3. How do you write

as a percent? Use a percent sign.

Answer:

4. How do you write .35 as a percentage? Use percent sign. Answer:

5. How do you write

as a percentage? Use a percent sign.

Answer:

Did visit

Germany

Did visit

Spain




Problem:

Samantha purchased 2 pizzas each

with 12 pieces. If she paid $26.88 for

both pizzas, how much did she pay per

slice?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. A company’s cost to produce 1000 watches is $3,500. The company sold the watches

to a retail store for $12,500. What was the company’s profit per watch? Answer:

2. Cousin Ruth and Aunt Erma’s ages were in a ratio of: 5:14. If Aunt Erma is 70 years old, how old is Cousin Ruth?

Answer:

3. Luann earned $4 for every $7 that Bruce earned. How much did they each earn if the total they earned is $212.00 together?

Answer:






Problem: Solve for z. Write your answer with z first, followed by an inequality symbol. Which of these numbers can be a value for w?

a. 1 b. 2 c. 12 d. 10 e.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer: 2. Solve for k. Write your answer with k first followed by an inequality symbol.

Answer:


a. 9 b. 18 c. 15 d. 12

Answer:

0 1 2 3 4 5 6 7 8 9




Problem: Do these triangles appear to be congruent or similar? Explain.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Mr. Hart is taking his son out to the park for a hike. They travel 64 meters to the

hiking trail. If the map has a scale of , how long is this distance on the map?

Answer:

2. Triangle ABC . What is the length of side AB?

Answer:

3. Look at the figure to the right. If the length of the base is doubled, what does the area of the figure do? Pick the best answer.

a. The area goes up the factor of four. b. The area becomes half. c. The area doubles. d. The area stays the same.

Answer:

1

2

Z 9

Y

1

5

X

8

C B

A




Problem:

Draw rectangular pyramid.

Possible answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Draw a triangle with three different side lengths. Is there more than one possible

triangle to draw?

2. Draw a rectangle with one pair of sides 4 inches long and a second pair of sides 6

inches long.

3. Draw a cone.




Problem: What is this three

dimensional figure named?

Answer:

A Rectangular pyramid

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. If the prism is cut through parallel to the base, what shape is made? Answer: 2. What three dimensional figure is this?

Answer:




Problem:

The circle has a diameter of 12 feet,

what is the circumference? Use 3.14

for pi.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. When the train crashed, the fugitive escaped from the policeman escorting him to

jail. They determined he could have only run 2 miles in any direction from the train accident. What is the square foot area that the policemen will need to search? Use 3.14 as pi.

Answer:

2. The radius of a circle is 40 inches. What is the circumference? Use 3.14 as pi. Answer:

3. Mr. Johnson is making a half circle garden at the side of his house. The radius is 14

feet. How much area will he need to fertilize? How much fence should he get to keep the rabbits out? Use 3.14 as pi.

Answer:




Problem:

What is the measure of K, L, and M?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Using algebra find the measure of the two angles below.

Answer:

2. What are the measure of angles K, J, and M?

Answer:

109°

64°

K M

L

2x+10 2x

M

85° K

J

110°




Problem: What is the area?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The drawing below is Farmer Sam’s field. What is the area of the field?

Answer:

2. What is the surface area of the prism?

Answer:

45

meters

60

meters

21 meters high=

height

7

inches 13

inches 9

inches

Height=10 feet

12 feet




Problem:

To decide what drama production to

put on at the end of school, the

teacher asked the first 40 students at

school one morning which play they

would prefer? Is this a random

survey?

Answer: No, the students who arrive

later would need to be included in the

survey.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Jeremy asked the last 22 students who finished their final exams to give their opinion

on the success of the school year. Is this likely to be a biased group? Answer:

2. Charlie surveyed the homes in the neighborhood that used the mass transit system

every day. Is this a representative group of the entire neighborhood? Answer:

3. Janae put colored balls into a bowl and put her hand in to choose a colored ball. Is this a random draw?

Answer:




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The Forest Preserve animal specialists wanted to know how many rabbits were in the

parks. They put tags on 55 and returned them to the parks. Later that year they sent agents out to count again. This time they found 85 rabbits of which 21 were tagged. Using this information, to the nearest whole number, what would be a good estimate of the number of rabbits in the park?

Answer:

2. The city employees put marks on 110 frogs to help make an estimate of the local frog population in the marsh lands around the city. Weeks later, the employees counted a total of 280 frogs, of which 42 were marked. To the nearest whole number, what is the best estimate for the frog population

Answer:

3. Local animal control agents captured, tagged, and released 72 squirrels as part of a study. Months later, they counted 90 squirrels, of which 34 had tags. To the nearest whole number, what is the best estimate for the squirrel population?

Answer:

Problem:

The golf resort owners wanted to

know how many geese were in the

golf course in one month. They

marked 67 geese, and later came

back. Then they collected 105 geese

of which, 28 were marked. To the

nearest whole number, what is the

best estimate for the geese

population?

Answer:




Problem: Ceci is interested in the average word length in two of her favorite books. She took a random sampling of 10 words from Pride and Prejudice and Little Women. What is the difference in the average word length for these two books? Pride and Prejudice. 10, 8, 12, 9, 10, 14, 7, 10, 12, 17

Little Women 11, 9, 14, 13, 5, 6, 9, 10, 9, 12

Answer: P & P average word length=10.9 and L.W. average word length=9.8.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Mr. Dodd’s class and Mrs. Oat’s class had a competition during the fund raiser. The sales

for each class were added at the end of each week of the fund raiser. Mr. Dodd’s class $102 $185 $280 $145 Mrs. Oat’s class $210 $260 $195 $185

Which class had the larger average week’s sales? Answer:

2. Looking at the two groups’ data, which would you expect to have the lower mean? Why or why not?

c. 90, 95, 60, 61, 90, 85 d. 60, 75, 75, 70, 58, 74

Now, calculate and determine if you were correct. Discuss with your neighbor what information did you take into consideration and why.

Answer:




Problem:

Look at these numbers:

How would the median change if the

11 was replaced with the number 90?

a. Increase

b. Decrease

c. No change

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. In the data below, if the range is 17, what is the value of x?

a. 20 b. 21 c. 12 Answer:

2. Jonathan sold his old war games on-line:

Calculate the mean, range, and the median (round to the nearest whole number). Answer:

3. Look at this set of numbers.

How would the mode change if the number 30 was replaced with 70? a. Decrease b. Increase c. No change

Answer:




Problem:

If any person randomly picks a letter

from A to Z, what is the probability

that the letter will be a vowel?

Answer:

The probability is

.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. A spinner was made with four evenly spaced sections: Black, White, Red and Yellow.

What is the probability that the spinner will land in the area labeled “Red”? Answer:

2. From a deck of cards, Janet pulls these cards and puts them in a container: .

What is the probability Janet will randomly pull a black card? What is the probability Janet will randomly pull a 10? What is the probability Janet will randomly pull a 3?

Answer:

3. The traffic light is red for 25 seconds, yellow for 5 seconds and green for 30 seconds. When you drive up to the traffic light, what is the probability that it will be yellow?

Answer:




Problem:

When you roll a 6-sided dice 250

times, how many times would you

expect to roll a “1”?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. At the bakery, they sold 14 cakes, of which 8 of them were Red Velvet. What is the

likely number of the next 21 customers who buy cakes will buy Red Velvet? Answer:

2. Tania was on vacation and was watching people at the pool. Of the last 8 women that walked by, 3 had blonde hair. What is the probability that the next woman that walks by will have blonde hair?

Answer:

3. On the Blue Line Metra mass transit train going to down town Chicago, of the first 6 cars, 5 were completely full. Out of the next 12 cars, how many would you expect to be full?

Answer:

4. At the coffee shop, out of the last 20 people, 15 ordered iced coffee. What is the experimental probability of someone ordering an iced coffee?

Answer:

5. Sitting in the doctor’s office, Mrs. Melvin noticed that of the last 5 families that have entered the pediatrician’s office, 3 families had 3 children. What is the probably that the next family that enters will have 3 children?

Answer:




Problem:

The numbers 1 through 80 each are

written on small balls. What is the

probability that the first ball picked

will have a number that is divisible by

5?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The Birch family owned a pet grooming salon. Today, out of the 10 last customers, 7

have been dogs. What is the probability that the next customer will come in with a dog?

Answer:

2. Jed’s Dad has dress shoes to wear to his CEO Job. He has 20 pairs of shoes, of which 7 are tie up shoes. If Jed’s Dad would choose a pair of shoes at random, what is the probability he will chose a pair of tie up shoes? Simplify your answer and write it as a fraction or whole number. Answer:

3. Robin made 4 out of the last 6 free throw shots in basketball. What is the experimental probability that Robin will miss the next free throw shot in the game?

Answer:




Problem:

If the probability of the first event is

and the probability of the second

event is

, then what is the probability

of the first thing happening and the

second thing also happening?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The children are being given awards of 1st, 2nd, and 3rd place. Are these events

dependent or independent?

Answer:

2. The Ice Cream vender had 6 different flavors of ice cream and 3 kinds of cones. How

many possible combinations could a customer purchase?

Answer:

3. Jane has 8 white colored balls, 5 blue colored balls, and 3 yellow colored balls in a

box. What is the probability that Jane will reach in and pull out a yellow ball and then

a white ball (she does not return the first ball to the box before she pulls the second

ball)?

Answer:




Problem:

The landscaping at the hospital

required 3 tons of small rocks. It was

purchased for $3900. How much is

the rock per pound?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Natalie filled up the gas tank on Tuesday for $44.25 at the discount store. If her gas tank holds 15 gallons, how much did Natalie pay per gallon?

Answer:

2. Janet’s and her friend, Lola’s ages are in a ratio of 3:8. If Janet is 21, how old is Lola?

Answer:

3. The pottery class teacher gave each student

pounds of clay to begin their projects. If the

teacher began with 30 pounds of clay and there were 12 students, how much clay remains unused after class?

Answer:

4. Patty purchased a 6 pound bag of rye flour for $28.80. She would like to know how much

does this bag of flour cost per ounce so she can compare the price to another bag. What is the price per ounce?

Answer:




Problem: The table shows the number of books read depends on the number of hours Debby reads. What is the rate per hour?

Number of hours she reads (x)

8 12

Number of books she reads (y)

4 6

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer


Answer:

3. Is this relationship proportional? Answer:

y

x

1

2

5

6

8

9

7

4

3

1 2 5 6 8 9 7 4 3




Problem: Mickey is selling candy for a school

fund raiser. He is selling 4 boxes of

candy for $14.00, how much would

it cost if you wanted to buy 9

boxes of candy? Assume the

relationship is directly

proportional.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer:

2. The bakery owner baked 8 dozen cookies in 3 hours. How many cookies will she bake in 8 hours?

Answer:


x -1 0 1 2

y -4 0 4 8

Answer:

4. You own 285 shares of a technology company stock. If you receive a check for $612.75, how much was the dividend per share? Assume the relationship is proportional.

Answer:




Problem:

Robin put her paychecks into her

savings account all summer. At the

beginning of the summer she had $60,

now she has $180. What percent of

change is this?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What is ?

Answer:


3. A company’s stock is selling for $40.00 a share. It is paying a dividend of $8.00 this

quarter. What percent of the stock price is the dividend? Answer:

4. Brad’s car needed repair work on his favorite car. If the bill totaled $780 and 75% of

that was labor costs, how much was the labor charge? Answer:

5. Liz has $1,000 in a savings account that earns 4% annually. The interest is not compounded. How much interest will she earn 3 years? Use the formula where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. Answer:




Problem:

The morning temperature began at

65° and as the day continued the

temperature went up 12°. That night

the temperature dropped again 18°.

What was the high temperature for

the day and the low temperature at

night?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

| | | |


1. What is the opposite of ?

Answer:

2. What integer makes this a true statement? Answer:


a. > b. < c. =

Answer:

4. The Gregory family was playing a board game. Mr. Gregory started with 0 points, earned 23, 30, and 45 points and lost 75 points when he landed on the wrong square. What was his ending score?

Answer:




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Problem:

The steak restaurant made 12

pounds of garlic butter. At lunch they

served 2

pounds and at dinner they

served 6

pounds. What amount

remained?

Answer:


1. What integer represents this situation? A 80 yard gain in the football game.

Answer:


3. Calculate:

Answer:

4. Which equation shows Commutative property of multiplication? a. 23 = 1 · 23 b. (8 – 2) · 6 = 6 · 8 – 6 · 2 c. (1 · 4) · 5 = 1 · (4 · 5) d. 8 · 4 = 4 · 8

Answer:

5. Calculate:

Answer:




Problem:

Jack shopped and purchased 4

tires for $352.00; how much did

he pay for each tire?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Divide. Simplify your answer and write it as a proper fraction or a whole number.

Answer:

2. What integer would make this statement true? Solve. Answer:

3. Doug purchased 7 gifts for Christmas gifts. If he spent $45.50 on all of the gifts, how much did she spend on each friend?

Answer:

4. Multiply:

Answer





Problem: Which of the following are integers?

a. 13

b. 4

c. 14.88 d. 0

Answer: a and d

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Is

an integer?

Answer:



Answer:

4. Write

as a decimal.

Answer:

5. Which property of addition is shown?

a. Distributive b. Identity c. Commutative

Answer:





Problem:

Marco was shopping for car parts to

repair the family car. The parts were

$9.90, $25.00, $20.00, $8.50, and

$5.25. What was the total he spent

on car parts before taxes?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



a. > b. < c. = Answer:

2. Dreya’s drive to work took

if an hour and Terry’s drive to work took

of an hour.

Who drives longer to work? Answer:

3. Mark went to buy new shirts at the department store. He purchased 5 shirts for $147.50. What was the average price for one of the shirts?

Answer:

4. What integer would make this sentence true? Answer

5. Divide:

Answer:




Problem:

Mrs. Burns was looking for new

bedroom furniture. She found a bed

she liked for $750.00 and a dresser

for $1,050. If her budget was $1900,

could she also afford a big mirror for

$250?

Answer:

$1944.00

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Multiply. Simplify your answer and write it as a proper fraction or as a whole or

mixed number.

Answer:

2. Divide. Simplify your answer and write it as a proper fraction or as a whole or mixed

number.

Answer:

3. The TV chef uses

cup of flour for each German Chocolate cake. If he has cups of

flour, how many cakes can he make? Answer:


5. What integer makes this sentence true? Answer:




Problem:

Solve this equation:

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer:

2. Which property of addition is shown? a. commutative b. distributive c. identity d. associative

Answer:







Problem:

Translate “the unknown, h, divided by

the sum of 6 and h”.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Translate “the product of 6 less than a number and the number” into a mathematical

expression. Answer:

2. Translate “an unknown number reduced by 23” into a mathematical expression. Answer:

3. Translate “four plus one-third of a number” into a mathematical expression.

Answer:

4. Translate and solve: “the sum of twelve and an unknown number is forty”. Answer:

5. Write an equation and solve: .” What is the number?

Answer:




Problem:

Put these fractions in order from

least to greatest.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Create a Venn diagram to solve this problem. The preschool class voted on which

fruit to have for a treat. Eight students wanted apples, 10 students wanted strawberries, and 4 students wanted both (they could not decide). How many students were in the preschool class?

Answer:

2. What is 26.347 rounded to the nearest tenth? Answer:

3. Marian had 9 coins which were quarters, dimes, and pennies. How m any of each did she have if the total was $0.84?

Answer:

4. Convert to a fraction. Answer:

5. Which symbol will make the sentence true? 80% ?

a. > b. < c. =

Answer:




Problem:


number to the nearest whole

number and then add.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Which fraction is more?

Answer:

2. Put these fractions in order from largest to smallest.

Answer:

3. How do you write 65% as a decimal? Answer:

4. The dance class girls decided to see a dance program downtown. The show began at 3:15, they wanted to arrive one hour before the show began to look around the building, it took 45 minutes to drive and they allowed 15 minutes for all to arrive. What time was the meeting time?

Answer:

5. The decoration committee purchased paint to make scenery for the play. They purchased 2 gallons of paint for $33.60. How much was the paint per pint?

Answer:




Problem:

To make dark forest green paint,

black and green are mixed in a

ratio of 3:5. If George is mixing

forest green paint and uses 54

drops of black, how many of

green does he use?

Answer:

Things to Remember:

______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Christopher cuts grass for his neighbors. If he can service 3 houses in 2 hours, how

many hours will she need to service 8 houses? Assume the relationship is directly proportional.

Answer:

2. This equation shows how the cost of renting a trombone depends on how many months it is rented for. The variable m represents the number of months the trombone is rented for, and the variable c represents the cost in dollars. How long will Sammie have the trombone if he pays $386.50? Discuss what the $150 is for in this situation?

Answer:

3. Solve for p: Answer:

4. Solve for k:

Answer:

5. Bruce earns money working at the hardware store: The variable e represents earnings and h represents how many hours he worked. How much does Bruce earn in 6.5 hours? Answer:




Problem: Solve for x. Write your answer with x first, followed by an inequality symbol.

Answer:

Things to Remember:

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Answer: 2. Solve for p. Write your answer with r first followed by an inequality symbol.

Answer:


a. 7 b. 8 c. 0 d.

Answer:

4. Solve for x:

Answer:

0 1 2 3 4 5 6 7 8 9




Problem:

Sandy made a scale drawing of her

home in the city. The scale she used

was 1 mm=10 meters. If the actual

width of the house is 60 meters, how

wide is the house on the drawing?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Sherry measures the playground at school so they could make a scale drawing. If the

scale is 1 yard=1 inches, how big would the drawing be for the playground if it measures 35 yards by 40 yards?

Answer

2. Complete the congruence statement.

Answer:

3. Look at the figure below. If the area of the base is doubled, what does the volume of the figure do? Pick the best answer.

a. The volume goes up the factor of four. b. The volume becomes half. c. The volume doubles. d. The volume goes up the factor of eight.

Answer:

43°

8

90° C

A

6

10

47°

B

6 1

0

8 K M

43° 90°

47°

N




Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Draw a cylinder that looks like a water tower in some towns.

2. Draw a rectangular prism.


Answer:

Problem:

Draw a parallelogram with a base

of 5 inches.

Answer: Be sure students know

how to draw parallel lines.

Possible answer:




Problem:



to the base of this square prism.

Answer:

The shape created would be a square

identical to the base of the figure.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What three dimensional figure is this?

Answer:

2. What is the three dimensional figure called that looks like a ball? Answer:

3. If a sphere is cut through, what shape is made? Answer:




Problem:

The circular garden in the front of the

mansion is 25 yards in diameter. How

much edging will they need to go

around the whole thing? (Use

3.14= ?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The school did a study about the distances students drove to get to school. A circle

could be drawn around the school showing how far students drove. If the radius of

the circle was 4 miles, what area did the school serve? Use 3.14 as .

Answer:

2. The round pool had a radius of 12 feet, what is the diameter?

Answer

3. The large clock on the city hall building needed restoration. New metal edging was

put around the entire clock. If the radius of the clock was 6 meters, how much

edging did they need? Use 3.14 as pi.

Answer:

4. If the area of the pizza is 254.34 square inches, what is the diameter of the pizza?

Use 3.14 for pi.

Answer:




Problem: Find the measure of the

three angles in the drawing below.

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Using the drawing below and algebra, find the measurements of .

Answer:

2. Using the drawing below and algebra, find the measurements of .

Answer:

N

96°

128°

Q

M

J

90

°

L

M

K

x-

12

x

N

X

°

X+20

°

J I

H

G

K




Problem: The new cereal box needs a

label around the box. What is the

lateral surface area of this box?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. What is the volume of this prism?

Answer:

2. The company is making a new box for its product. What is the volume of the

rectangular prism?

Answer:

Area of base=15 𝑓𝑡

Height=8 feet

6

cm.

10

cm.

4

cm.

3

in.

12

in.

8

in.




Problem:

Doug asked 9 people coming out of a

particular expensive restaurant. Is

this group likely to biased?

Answer:

Yes

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The office manager wanted to encourage the employees to meet their production goals. He put all of their names in a box and drew names out. Is this sample of names from the box likely to be biased?

Answer:

2. Mr. Davis surveyed 20 people who live in the rural section of the county. Is this a representative sample of the county residents?

Answer:

3. Keith asked 3 people out of every class at the school (each class had about the same

number of students) their opinions about school government. Is this sample of people likely to be representative?

Answer:

4. Jay surveyed the 3 baseball players with the highest scoring average in the league. Is

this a random sample of baseball players? Answer:




Problem: The school class helped

count and estimate the number of a

particular reptile that lives around the

school. They marked 36 of the reptiles

and released them. Later they caught

45 of which 10 were marked. To the

nearest whole number, how many

reptiles are likely to be in the area?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. In order to estimate the number of chimpanzees in the jungle, employees put a mark

on 30 of them. Later, they captured 75 chimpanzees of which 22 were marked. To the nearest whole number, how many chimpanzees are likely to be in the jungle?

Answer:

2. On the island the researcher was studying how the number of Imperial Pigeons has

changed. He captured 50 of them, marked them and released them. Later, they counted 89 pigeons, of which 21 were marked. To the nearest whole number, how many Imperial Pigeons are likely to be on the island?

Answer

3. Scientists captured, tagged and released 40 rabbits as part of the state’s animal research. Later, the scientists returned and counted 26 tagged rabbits out of 70 rabbits. To the nearest whole number, how many rabbits are likely to be in the state park?

Answer:




Problem:

If Mickey’s group has a higher mean in

his group than Ed’s group, what would

you predict is true about the scores of

each group?

Answer:

Mickey’s group would likely have

higher scores overall than Ed’s group.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. How many quartiles apart are the means?

Answer:

2. How much is the difference of the ranges of these two groups of data?

Answer:




Problem:

Look at these 7 numbers:

How would the mean change if the

number 30 was added to the group?

a. Decrease

b. Increase

c. No change

Answer: c

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. Using the chart below answer these questions. What is John’s average for these quizzes?

2. What is the mode of this data? Answer:

3. What is the range for this data?

4. What is he median of this data?

5. What is the general trend of John’s grades? Answer:

75%

68% 65%

72% 78%

82% 88%

75%

91%

82% 85%

82%

90%

0%

10%

20%

30%

40%

50%

60%

70%

80%

90%

100%

Quiz 1 Quiz2 Quiz 3 Quiz 4 Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9 Quiz10

Quiz11

Quiz12

Quiz13




Problem:

The game has a spinner divided into

10 equal sections. The sections are 1

through 10. What is the probability

that the spinner will stop on an 8 or

larger?

Answer:

The probability will is

.

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. A box contains 5 pink chips, 5 red chips, and 7 green chips. What is the probability

that you will not draw a red chip? Answer:


, what is the probability of that event not

happening? Answer:

3. Tonya has 20 pairs of shoes of which 4 are sandals. What is the probability of her picking a pair of sandals if she goes into her closet with her eyes closed and the light out? Write your answer as a percent.

Answer:

4. The Johnson family has too many salad dressings in their refrigerator; they have 35! If Mr. Johnson opens the door and picks one randomly, what is the probability that he will get his favorite, oil and vinegar?

Answer:




Problem:

The kindergarten class had ice cream

for a special treat. Of the 22 students,

10 picked chocolate and 12 picked

vanilla. What is the experimental

probability of a child picking vanilla ice

cream?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. The children’s game has a spinner that has landed 12 times on red, 10 times on blue,

5 times on yellow, 5 times on purple, and 8 times on green. If someone used the spinner an additional 80 spins, how many times would it land on yellow?

Answer:

2. This afternoon at the coffee shop, 21 people have ordered hot chocolate and 14 people have ordered some kind of coffee. What is the experimental probability that the next person coming in will order hot chocolate? Simplify your answer and write it as a fraction or whole number.

Answer:

3. At a factory which makes ladies blouses, 3 out of the last 10 blouses produced were defective. What is the experimental probability that the next blouse will be imperfect? Simplify your answer and write it as a fraction or whole number.

P(defective=) Answer:

4. The local bakery on Main Street sold 9 German Chocolate Cakes, 4 Vanilla cakes, and 14 Red Velvet cakes. Considering this data, how many of the next 66 cakes purchased will be German Chocolate Cake?

Answer:




Problem: The game at the Fairgrounds required the customer to pick out a ball from a tub. If the number was an even number, you won a prize. There were balls with the numbers 1 through 50. What is the probability of winning a prize? Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. There is a board with 24 black and 18 white squares (all squares are the same size). If you throw a dart at the board, what is the probability that the dart will land in a white square?

Answer:

2. A box has the letters “GOOD CHOCOLATE” on cards, what is the probability of getting a “O”?

Answer:

3. At the Fairgrounds food court, 45 of the last 75 customers have ordered cotton

candy. Of the next 45 customers, how many would you expect to order cotton candy?

Answer:

4. A total of 250 raffle tickets are being sold. A ticket will be picked at random for the prize. If Jennifer buys 25 tickets, what is the probability that she will win the prize? Answer:




Problem:

Marco watches as 5 children take

turns being the leader in a game.

In how many different orders

could the children take turns?

Answer:

Things to Remember:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________


1. If you roll a standard dice and spin a spinner with four different equal sections with

red, blue, green and yellow. What is the probability that someone would roll a 4 and spin a green color?

Answer:

2. In a game at the school fair, there is game where a customer pulls out a colored ball and then tries to pull out a second ball the same color. If there are 6 blue balls and 6 red balls, what is the probability that Susan can pull two of the same color balls out (the first ball is not returned to the game before the second ball is pulled, these are dependent events).

Answer:

3. Four children were sitting in four seats. In how many different orders could the children sit in the chairs?

Answer:

4. The parts for the school play were being announced over the intercom. If there were 6 parts, in how many orders could the parts be announced?

Answer:

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great educators - Wikispacesgonzagateach.wikispaces.com/file/view/7BR_StudentM.pdf · Common Core Standards Bellringers Grade 7 Math ... Page 9 yth Grade Math: y.NS.A. u ... CCSS