gonzagateach.wikispaces.com€¦ · Web view“The Common Core State Standards provide a consistent, clear understanding of what students are expected to learn, so teachers and

Common Core Standards Test BankGrade 7 Math

First Edition

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All rights reserved.

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Copyright 2013 by Great Educators

All rights reserved

great educators

Grade 7 Math Test Bank

As more and more states adopt the common core standards, teachers need materials to help them understand what’s changing for their grade and subject. Teachers also need quick ways to expose their students to the standards.

This test bank includes 25 questions per standard released for the grade. In the immediately following pages, you will find the actual standards as the table of contents. Please find the test bank questions organized by standard beginning on Page 1. By purchasing this product, you have purchased full rights to copy and paste from this document into any other document for student examination or testing. Also, please feel free to print and/or copy this information as needed for your classrooms.

Don’t be stressed about the upcoming transition to the common core standards. These test bank questions will clarify your specific standards and provide an opportunity for your students to be exposed to them throughout the year.

“The Common Core State Standards

provide a consistent, clear understanding of

what students are expected to learn, so teachers and parents know what they need

to do to help them. The standards are

designed to be robust and relevant to the

real world, reflecting the knowledge and

skills that our young people need for

success in college and careers. With

American students fully prepared for the

future, our communities will be

best positioned to compete successfully

in the global economy.”

-www.corestandards.org

Grade 7 Math CCSS Standards

Analyze proportional relationships and use them to solve real-world and mathematical problems.

CCSS.Math.Content.7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

CCSS.Math.Content.7.RP.A.2 Recognize and represent proportional relationships between quantities.

o CCSS.Math.Content.7.RP.A.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

o CCSS.Math.Content.7.RP.A.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

o CCSS.Math.Content.7.RP.A.2c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

o CCSS.Math.Content.7.RP.A.2d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

CCSS.Math.Content.7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Apply and extend previous understandings of operations with fractions.

CCSS.Math.Content.7.NS.A.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

o CCSS.Math.Content.7.NS.A.1a Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

o CCSS.Math.Content.7.NS.A.1b Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or

negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

o CCSS.Math.Content.7.NS.A.1c Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

o CCSS.Math.Content.7.NS.A.1d Apply properties of operations as strategies to add and subtract rational numbers.

CCSS.Math.Content.7.NS.A.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

o CCSS.Math.Content.7.NS.A.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

o CCSS.Math.Content.7.NS.A.2b Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.

o CCSS.Math.Content.7.NS.A.2c Apply properties of operations as strategies to multiply and divide rational numbers.

o CCSS.Math.Content.7.NS.A.2d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

CCSS.Math.Content.7.NS.A.3 Solve real-world and mathematical problems involving the four operations with rational numbers.

Use properties of operations to generate equivalent expressions.

CCSS.Math.Content.7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

CCSS.Math.Content.7.EE.A.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

CCSS.Math.Content.7.EE.B.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.

CCSS.Math.Content.7.EE.B.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

o CCSS.Math.Content.7.EE.B.4a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

o CCSS.Math.Content.7.EE.B.4b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Draw construct, and describe geometrical figures and describe the relationships between them.

CCSS.Math.Content.7.G.A.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

CCSS.Math.Content.7.G.A.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.

CCSS.Math.Content.7.G.A.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

CCSS.Math.Content.7.G.B.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

CCSS.Math.Content.7.G.B.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

CCSS.Math.Content.7.G.B.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Use random sampling to draw inferences about a population.

CCSS.Math.Content.7.SP.A.1 Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

CCSS.Math.Content.7.SP.A.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

Draw informal comparative inferences about two populations.

CCSS.Math.Content.7.SP.B.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.

CCSS.Math.Content.7.SP.B.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.

Investigate chance processes and develop, use, and evaluate probability models.

CCSS.Math.Content.7.SP.C.5 Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.

CCSS.Math.Content.7.SP.C.6 Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.

CCSS.Math.Content.7.SP.C.7 Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

o CCSS.Math.Content.7.SP.C.7a Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.

o CCSS.Math.Content.7.SP.C.7b Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?

CCSS.Math.Content.7.SP.C.8 Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

o CCSS.Math.Content.7.SP.C.8a Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

o CCSS.Math.Content.7.SP.C.8b Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.

o CCSS.Math.Content.7.SP.C.8c Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?

Common Core State StandardsGrade 7 Math Test Bank

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

Question Bank:

1. Missy and Mark were at track practice. The track is 2/5 kilometer around. Missy ran 1 lap in 2 minutes. Mark ran 3 laps in 5 minutes. How many minutes does it take Missy to run 1 kilometer?

Answer:

2. Missy and Mark were at track practice. The track is 2/5 kilometer around. Missy ran 1 lap in 2 minutes. Mark ran 3 laps in 5 minutes. How minutes does it take Mark to run 1 kilometer?

Answer:

3. You have volunteered to bake pies for a school fundraiser. The recipe requires 3 cups of sliced apples for 1 pie. If 3 apples make 2 cups of slices, how many pies can you make with 9 apples?

Answer:

Great Educators – Visit us online at www.greateducators.comPage 9

Problem:

A person walks 14 mile every 20 minutes.

Compute the unit rate as a complex fraction.

Answer:1/41/3 or

34 mile an hour

Common Core 7.RP.A.1: Analyze proportional relationships and use them to solve real-world and mathematical problems. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

For example:

If a person walks 12 mile in each

14

hour, compute the unit rate as the

complex fraction 1/21/4 miles per hour,

equivalently 2 miles per hour.


4. Richard and his family were driving to his grandma’s for the Holidays. He looked at his watch during a portion of the trip and it was 11:15 am. At 1:25 pm Richard’s mother told him they traveled 80 miles in the last 2 hours. How many miles did the family travel in 1 hour?

Answer:

5. Richard and his family were driving to his grandma’s for the Holidays. He looked at his watch during a portion of the trip and it was 11:15 am. At 1:25 pm Richard’s mother told him they traveled 80 miles in the last 2 hours. Richards’s dad said the entire trip was 1200 miles. How many hours will it take to complete the trip?

Answer:

6. Mike and Tina made a cross-country motorcycle trip. Mike drove 325 miles in 5 hours. Tina took 6 ½ hours to travel the same distance as Mike. Provide the average speeds in miles per hour for both Mike and Tina – be sure to provide an answer for each person.

Answer:

7. Mary is planning a trip from Seattle to Chicago in her car. Use the table below to show how far in a mile Mary can go for each gallon of gas she uses. Gallons 2 4 6 10 12Miles 52 156 208

Answer:

8. Using the table above how many miles per gallon did Mary’s car get?Answer:

9. Lacey had a chocolate bar. She gave her friend Crystal one-half. Crystal gave her friend John one-half of her piece. What fractional part of the original chocolate bar did Lacey get?

Answer:



10. Write the ratio as a fraction, in simplest terms. The basketball team won 7 games out of 28 games.

Answer:

11. Tickets for the concert sold out in 4 hours. If 6,000 tickets were sold, at what rate did the tickets sell?

Answer:

12. What is the ratio of squares to circles?

_____:2Answer:

13. What is the ratio of small triangles to the total number of triangles? Write your answer as a fraction.

Answer:

14. Write the ratio as a fraction, in simplest form. 3 out of 18 birds.Answer:

15. Find the unit rate for the problem below.

40 gallons5minute

Answer:

16. Write the ratio in two other ways. 4 to 5

Answer:



17. There are 65 boys and 52 girls in the French club. What is the ration of boys to girls, in simplest form?

Answer:

18. Christopher scored 21 goals in 7 soccer games. At this rate, how many goals did he score each game?

Answer:

19. Over a period of 3 hours, 180 birds flew over the park. At this rate, how many birds flew over in one hour?

Answer:

20. Jake’s favorite animals at the zoo were monkeys and snakes. There were 34 snakes and 12 monkeys. What is the ration of monkeys to snakes at the zoo, in simplest form?

Answer:

21. Susan swam four laps in a pool. It took Susan 140.8 seconds to swim all four laps. If Susan swam at the same pace the entire time, how long did it take her to swim one lap?

Answer:

22. Richard bought 15 gallons of gas, at $3.23 a gallon. What is the total amount of money Richard spent on gas?

Answer:

23. At a basketball game, popcorn cost $4.50, and a soda cost $2.00. If Matt bought 5 items for his friends and spent $15.00, what did he buy?

Answer:

24. The class is having a lemonade stand for a school fundraiser. The recipe calls for 14 cup of

sugar, and a 12 cup of lemonade mix. Jim got confused and put

12 a cup of sugar, and

14 a

cup of lemonade mix. What is the ratio of sugar to lemonade mix in the original recipe?



Answer:

25. The class is having a lemonade stand for a school fundraiser. The recipe calls for 14 cup of

sugar, and a 12 cup of lemonade mix. Jim got confused and put

12 a cup of sugar, and

14 a

cup of lemonade mix. How much lemonade mix does Jim need to keep the ratio of the original recipe?

Answer:



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

Question Bank:

1. Are these ratios equivalent?1 to 3 and 5 to 15Answer:



4. Are these ratios equivalent?34∧9

12Answer:


Problem: Are these proportions the same?

1 teaspoon salt : 3 cups water

13

teaspoon salt : 1 cup water

12

teaspoon salt : 112

cup water

Answer:Yes.

Common Core 7.RP.A.2a-2b: Recognize and represent proportional relationships between quantities.

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.


5. Are these ratios equivalent?45∧8

20Answer:

6. Are these ratios equivalent?3 large pizzas for every 8 medium pizzas4 large pizzas for every 11 medium pizzas

Answer:

7. Are these ratios equivalent?12 students :16 teachers15 students :20 teachers

Answer:

8. Are these ratios equivalent?15¢ for 8 years7¢ for 5 years

Answer:

9. In the graph below, is the relationship proportional?

Answer:


Number of weeks

109876543210 1 2 3 4 5 6 7 8 9 10

Number of books


10. In the graph below, is the relationship proportional?

Answer:

11. Matthew made dough for 15 pizzas in 3 hours. How much dough can he make for the pizzas in 6 hours?

Answer:

12. If Leah earned $21 for babysitting 3 hours. How much could she earn for babysitting in 5 hours?

Answer:

13. The table shows the number of pizzas Richard can make, related to how many bags of dough Richard has.

Number of dough bags, x 2 3Total number of pizzas, y 12 18

How many pizzas can he make with one bag of dough?Answer:

14. Mark walked 6 miles by making 2 trips to his grandma’s house. Later he walked 9 miles in 3 trips. How many miles did Mark walk in 1 trip?

Answer:


Number of dogs

109876543210 1 2 3 4 5 6 7 8 9 10

Number of cats


15. The table shows the number of football plays Jake has learned depends on the number of weeks Jake has had football practice.

Weeks of practice, x 2 5Total number of plays learned, y 2 5

How many football plays does Jake learn each week?Answer:

16. The table shows how the cost of Sally’s birthday party depends on the number of people attending the party.

People attending, x 3 4Cost, y $15 $20

How much does it cost for each person attending?Answer:

17. Kate learned 3 dances over a period of 3 weeks in dance class. After vacation, Kate learned 19 dances over a period of 19 weeks in dance class. How many dance lessons does Kate learn per week?

Answer:

18. Over the summer the Smith family took a trip to the Mt. Rainier which was 200 miles from where they lived. The graph below shows the distance the family drove, in miles, and the time in hours, taken for the trip.



1 2 3 4 5 6 7 8 9 1050

100

150

200

250

300

350

(1,50)

(4,150)(5,150)

(6,200)

What is the average speed from hour 5 to hour 6?

Answer:

19. The table shows how the revenue of John’s hot dog stand depends on the number of customers.

Number of customers, x 4 5Revenue, y $20 $25

How much revenue does John’s hot dog stand make per customer?Answer:

20. Michelle made a total of 15 aces in 3 volleyball games. The next year Michelle made 25 aces in 5 volleyball games. How many aces does Michelle make in 1 game?

Answer:

21. The face painting class will cost $15 if it has 5 attendees. In contrast, if the class has 6 attendees, it will cost $18. What is the cost per attendee?

Answer:

22. Sarah is knitting scarves for a school fundraiser. She has knit 8 centimeters of scarf over 2 nights. Over the next 6 nights Sarah knit 24 centimeters. How many centimeters of scarf did Sarah knit each night?



Answer:

23. The table shows the cost of entrance into the zoo depends on the number of attendees. How much does it cost per attendee to enter the zoo?

Cost, y $9 $12Attendees, x 3 4

Answer:

24. Chris found 12 arrow heads during 2 days of hunting. On another trip he found 18 arrowheads during 3 days of hunting. How many arrowheads did Chris find during 1 day of hunting?

Answer:

25. The table shows how many lawns Ralph mows this year depends on the number of weeks he has already mowed. How many lawns does Ralph mow per week?

No. of weeks, x 8 9Total no. of lawns, y 8 9

Answer:



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

Question Bank:

1. If 6 flower pots cost $36. What will 12 flower pots cost? Answer:

2. If 5 sub sandwiches cost $27. What will 10 sub sandwiches cost?Answer:

3. 40 students are going on the field trip. There is a ratio of 3 boys to 7 girls. How many girls are there?

Answer:

4. The farmer has 77 cows on his farm. There is a ratio of 6 Holstein cows to 5 beef cows. How many Holstein cows does the farmer have?

Answer:

5. Ken’s mother gave Ken and his brother allowance in the ratio of 4:2 between Ken and his brother. Ken got the smaller amount of $17. How much did his brother get?

Answer:


Problem:

The ratio 3:4 = 15:20. True or False

Answer: True

Common Core 7.RP.A.2c-2d: Recognize and represent proportional relationships between quantities.

Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.


6. Are the ratios 3:4 and 6:8 equal? Answer:

7. 1 set of dishes cost $123. How much does 2 sets of dishes cost?Answer:

8. 2 computers cost $600. How much will 7 computers cost?Answer:

9. 8 pizzas cost $80 dollars. How much will 17 pizzas cost?Answer:

10. 80 dogs are up for adoption at the shelter. The ratio of female to male dogs is 6:2. How many female dogs are up for adoption?

Answer:

11. The graph below represents the price of apples at the store. What is the constant of proportionality?

100

80

60

40

20

0 2 4 6 8 10

Answer:


Pounds

Price (cents)


12. The graph below represents the speed of a car. What is the constant of proportionality?

300

240

180

120

60

0 30 60 90 120 150

Answer:

13. The graph represents the total miles Chris walked in hours. What is the constant of proportionality?

200

160

120

80

40

0 1 2 3 4 5

Answer:

14. Martha purchased apples to bake pies. Create a graph to determine if the quantity of apples and the price of apples are proportional. If the quantities are proportional, what is the constant of proportionality?

Pounds of apples 2 4 6 8Price of apples 4 8 12 16

Answer:


Miles

Speed (per hour)

Hours

Distance walked


15. Mary sold lemonade over a four day period. Create a graph to determine if the number of cups of lemonade and the number of days are proportional. What is the constant of proportionality?

Days sold 1 2 3 4Cups of lemonade 4 8 12 16

Answer:

16. The graph below represents the number of games played over time. What is the constant of proportionality?

25

20

15

10

5

0 1 2 3 4 5

Answer:

17. Kathy sold jeans over four days. Create a graph to determine if there is a proportional relationship. If the quantities are proportional, what is the constant of proportionality?

Days 1 2 3 4Pairs of Jeans 5 10 15 20

Answer:


Hours

Number of games


18. Sarah baked cookies and cakes. Create a graph to determine if the cookies and cakes are proportional. If the quantities are proportional, what is the constant of proportionality?

No. of cookies 2 4 6 8No. of cakes 4 8 12 16

Answer:

19. The graph below represents the number pies thrown at the carnival over a period of time. What is the constant of proportionality?

350

280

210

140

70

0 7 14 21 28 35

Answer:

20. Jackson makes stained glass and wood carvings. Create a graph to determine if the quantities of stained glass and wood carvings are proportional. If the quantities are proportional what is the constant of proportionality?

No. of stained glass 2 4 6 8No. of wood carvings 7 14 21 28

Answer:

21. Kelly made 6 gallons of homemade laundry detergent in 2 days. How many days did it take Kelly to make 18 gallons of laundry detergent?

Answer:

22. Anita picked 18 pints of strawberries in 2 hours. How many pints can Anita pick in 4 hours?Answer:


Hours

Number of pies


23. Solve for m. m40

=34

Answer:

24. Solve for t. 128

=15t

Answer:

25. Solve for x.1824

= x40

Answer:



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

Question Bank:

1. If the sales tax rate is 10% and Kate buys a candy bar for $1, how much tax will she pay?Answer:

2. What is the sale price of a pair of shoes that coast $15.74, if the shoes are 50% off?Answer:

3. The original price of the ipod is $103.50. Which coupon should you use to get the best deal?25% off or $25 off

Answer:

4. If you buy a sweater for $25 this weekend and see the same sweater the next weekend but now it is 30% off. How much would you have saved if you bought the sweater next weekend?

Answer:

5. Ricky wants to buy a baseball card at the sports store. The store is having a 35% off sale. The original price of the card is $220. How much will Ricky have to pay for the card at the sale price?

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

Common Core 7.RP.A.3: Analyze proportional relationships and use them to solve real-world and mathematical problems.

Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.


6. The pet store is offering kitten adoptions for 50% off if you buy a bag of kitten food for $15.99. The regular adoption price is $75. How much money will you save if you adopt the kitten during the sale?

Answer:

7. The department store is having a 75% off sale on scarves. You want to buy as many scarves as you can for Christmas presents. If the scarves are regularly $37, how many can you buy with $100 during the sale?

Answer:

8. 8 out of 10 people order chicken instead of fish at the restaurant. What percentage of people at the restaurant order chicken?

Answer:

9. The school carnival sold 16 student tickets and 24 adult tickets. What percentage of the tickets sold were student tickets?

Answer:

10. T-shirts are on sale for 25% off. The sale price is $18.75. What was the original price of the t-shirts?

Answer:

11. What is the percent of change from 8 to 10?Answer:

12. The sports store sells golf clubs for $135. The store buys the clubs at a cost of $80. What is the mark-up percentage?

Answer:

13. Martha bought a pair of shoes for $33. The original price of the shoes was $75. What is the percent discount that Martha received?

Answer:

14. What is the percent of change from 5,000 to 400?Answer:



15. Rick bought his wife a diamond ring. The store purchased the ring for $650 and marked up the price 100%. If the sales tax is 10% how much did Rick pay total for the ring?

Answer:

16. Todd took his mother out to dinner. Their bill came to $63.50 in addition to 7% sales tax. He also wants to leave a tip of 10% on the original $63.50. How much did Todd pay for dinner including tax and tip? Round off to nearest cent if necessary.

Answer:

17. Use the formula i=prt to solve the following problem. I=interest, p=principal, r=interest rate, t=time in years.Cindy has $500 she wants to put in a savings account that earns 10% interest per year. If the interested is not compounded how much will Cindy have in one year?

Answer:

18. Use the formula i=prt to solve the following problem. I=interest, p=principal, r=interest rate, t=time in years.Donna has $250 in her savings account. The savings account earns 15% interest per year. If the interest is not compounded, how much interest will she earn in one year?

Answer:

19. A store bought a bracelet for $100 and marked it up 175%. Sally works at the jewelry store and makes 20% commission on her sales. If Sally sells the bracelet today how much commission will Sally make?

Answer:

20. The furniture store bought a coffee table for $40 and sold it for a 50% markup. If Ted makes 10% commission how many coffee tables will Ted have to sell to make $30?

Answer:

21. John took his friends out to dinner. The bill came to $100. If the tax is 9% and John gave the waiter $120, how much change should John get back?

Answer:

22. Please solve. 40%of ¿54 Answer:



23. Please solve. 70% of ¿=161Answer:

24. Mel paid $25 for his dinner. The tax is 10%. Mel also gave the waiter a $5 tip. If Mel gives the waiter a $100 bill, how much change does Mel get back?

Answer:

25. Please solve. 33% of ¿660Answer:



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

Question Bank:

1. What is the opposite of −5?Answer:

2. What is the absolute value of −1?Answer:


4. What is |−2|?Answer:


Problem: Is this equation true?b – m = b + (-m)

Answer:Yes.

Common Core 7.NS.A.1a-1b: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

x


5. What is |3|?Answer:



8. What is |−6|?Answer:


10. What is |8|?Answer:

11. What is the opposite of 26?Answer:

12. Find the value of n . Write your answer as a decimal.

Answer:

13. Find the value of x . Write the answer as a decimal.

Answer:


0 n 1


14. Find the value of x . Write the answer as a decimal.

Answer:

15. Find the missing number.

Answer:

16. Find the missing number.Answer:

17. What number makes the following sentence true?

______ −6=−5Answer:

18. What number makes the following sentence true?

_______ −5=−2

Answer:


10 11


19. What is the absolute value of |45|?

Answer:

20. Solve −3+5=¿Answer:

21. Solve −7−5=¿Answer:

22. Solve −2.3+5=¿Answer:

23. Solve −1.1+18=¿Answer:

24. Ted had a score of −3 on the first nine holes of golf. The last nine holes his score was 5. What was Ted’s total score for all eighteen holes?

Answer:

25. On a number line Matt drew a dot on number 75. He then drew a dot on a number that was 100 units smaller. What number was on the second dot?

Answer:



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

Question Bank:

1. Add −7+3=¿Answer:

2. Add −11+9=¿Answer:

3. What is the additive inverse? 100+(−10 )Answer:

4. What is the additive inverse? 175+(−49 )Answer:

5. What is the additive inverse? 27−18Answer:


Common Core 7.NS.A.1c-1d: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.

Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

Apply properties of operations as strategies to add and subtract rational numbers.

Problem:Is −40+21 positive or negative?

Answer: Negative


6. Add 6.2+4.3=¿Answer:

7. Add 2.3+7.4=¿Answer:

8. Add 20.3612.63

Answer:

9. Add 17.2534.55

Answer:

10. Add210

+ 310

Answer:

11. Add26+ 26

Answer:

12. Subtract 3 34−2 1

4

Answer:



13. Subtract 8 38−3 2

8

Answer:

14. 1×5=5 is what property of multiplication?Answer:

15. (−77 )+77=0 is what property of multiplication?Answer:

16. Solve 2+3.5−0.3=¿Answer:

17. Solve 12+.1−3.5=¿

Answer:

18. Subtract310

− 110

Answer:

19. Subtract 2−1 13

Answer:

20. Rick saw a caterpillar sitting 10 inches below the windowsill. When he looked again the caterpillar was 5 inches above the windowsill. What integer represents the caterpillar’s change in altitude?

Answer:



21. Ted went hiking. He climbed 500 feet above sea level. If Ted started at 200 below sea level, which integer represents his total elevation?

Answer:

22. Subtract 62.35-23.55Answer:

23. Solve −15−(−12)−(−5)=¿Answer:

24. Which property of multiplication is shown?

x ∙ y+v ∙ y=( x+v ) ∙ y

Answer:

25. What property of addition is show? Circle correct answer.a=a+01. Associative2. Commutative3. Identity

Answer:



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

Question Bank:

1. Is 36÷12 positive or negative?Answer:

2. Is −5×−5 a positive or negative?Answer:

3. Simplify. −12

×−34

Answer:

4. Multiply. −6.3×0.3=¿Answer:


Problem: Solve the following expressions.2 × 4 =-2 × 4 =2 × -4 =-2 × -4 =

Answer:8, -8, -8, 8

Common Core 7.NS.A.2a-2b: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.


5. What number makes the following sentence true? −54❑ =−9

Answer:

6. What number makes the following sentence true? −7×¿=63Answer:

7. Simplify the expression. 5 (5+4 r )Answer:

8. Simplify the expression. 7 (4+6 x )Answer:

9. Simplify the expression. 2 (5x+6 )Answer:

10. What number makes the statement true? 423,65? Is divisible by 10.Answer:

11. Is 3,650,330 divisible by 10?Answer:

12. Casey and her mother went shopping. They bought 3 shirts. 2 of the shirts were pink. What fraction of the shirts were pink?

Answer:

13. Lee went to buy a puppy. The seller had 8 puppies, 3 of which were snow white. What fraction of the puppies were white?

Answer:

14. Sally made cupcakes for her class. There are 9 girls in her class. 4 of the girls want chocolate cupcakes. What fraction of the girls’ cupcakes are chocolate?

Answer:

15. Divide. −81÷−9=¿Answer:



16. Divide. −72÷8=¿Answer:

17. What is the multiplicative inverse of 38 ?

Answer:

18. What is the multiplicative inverse of 85 ?

Answer:

19. Multiply. −2×−4.3=¿Answer:

20. Multiply. Simplify your answer. 12

× 45=¿

Answer:

21. Multiply. Simplify your answer. −34

×−12

=¿

Answer:

22. Kate made 34 of a pound of fudge. If she puts

38 of a pound in individual bags, how many

bags will Kate need?Answer:

23. Ken needs 23 of a cup of sugar for a recipe. He can only find a

13 cup measuring cup. How

many scoops of sugar does Ken need to add?Answer:

24. The cookie factory uses 15 of a tub of chocolate chips for each batch of cookies. Today the

factory used 35 of a tub of chocolate chips. How many batches of cookie did the factory

make today?Answer:



25. Larry’s landscaping company used 723.3 tons of dirt to landscape 6 yards. How much dirt does Larry use for each yard?

Answer:

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

Question Bank:

1. Write 12 as a decimal number.

Answer:

2. What is .25 written as a fraction and a percent, in simplest form?Answer:

3. What property of addition can be used? a+b=b+aAnswer:

4. What property of addition can be used? a+ (b+c )= (a+b )+cAnswer:

5. What property of multiplication can be used? b ∙0=0


Problem:Write 0.5 as a fraction in simplest form.

Answer:12

Common Core 7.NS.A.2c-2d: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Apply properties of operations as strategies to multiply and divide rational numbers.

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.


Answer:

6. Divide. 12

÷ 16=¿

Answer:

7. Divide. 18

÷ 14=¿

Answer:

8. Divide. 628

÷3 24=¿

Answer:

9. Divide. 5610

÷2 27=¿

Answer:

10. Divide. 736

÷5 16=¿

Answer:

11. Multiply. 5× 810

=¿

Answer:

12. Multiply. 23

×12

Answer:

13. Multiply. 24

× 57=¿

Answer:

14. Simplify each expression. −8a+−5aAnswer:

15. Simplify each expression. −16 x+5xAnswer:



16. Simplify each expression. −2 y+5 y+−3 yAnswer:

17. Multiply. 415

×4=¿

Answer:

18. Multiply. 34

×4=¿

Answer:

19. An integer is a rational number. True or False?Answer:

20. Can a number be rational and irrational? Yes or No?Answer:

21. Classify the number type of 0.45. May be of one or more type.Answer:

22. Classify the number type of 53 . May be of one or more type.

Answer:

23. Write 17% as a decimal.Answer:

24. Write 107% as a decimal.Answer:

25. Write .7%as a decimal.Answer:



1.



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

Question Bank:

1. Subtract. 25.13−13.84=¿ Answer:

2. The baker bought 9.5 pounds of flour but was only delivered 5.6 pounds. How many pounds of flour is the baker missing?

Answer:

3. Michael walks .9 miles on the trail at the park. If Michael goes to the park 9 times, how many miles will he walk?

Answer:

4. Candy bars are $1.06 each. How much does 7 candy bars cost?Answer:

5. Clare bought salt water taffy at .23 cents apiece. Clare bought 57 pieces of taffy. How much money did Clare spend?

Answer:


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 the year?

Answer:$1944.00

Common Core 7.NS.A.3: Solve real-world and mathematical problems involving the four operations with rational numbers.1


6. Mark has $31.00. Does he have enough money to buy 3 DVD’s and a bag of popcorn?

Answer:

7. Divide. Write the answer written as a decimal. 102.53÷5=¿Answer:

8. Sally bought 3 roles of ribbon. She got 156.3 inches of ribbon. How many inches of ribbon were on each roll?

Answer:

9. Add. 2.3+6.9=¿Answer:

10. Subtract. 7.62−5.73=¿Answer:

11. What number makes the following sentence true? ____+7=32Answer:

12. What number makes the following sentence true? ____+1=−2Answer:

13. Is −7×−7 positive or negative?Answer:

14. Is 26÷−3 positive or negative?Answer:

15. Multiply. Write answer as a decimal. −6.5×1.4=¿Answer:


Candy $1.02

Popcorn $.75

Soda $1.25

DVD’s $10.05


16. What sign makes the sentence true? 47−17

? 47

Answer:

17. What sign makes the sentence true? 68

? 14+38

Answer:

18. Sarah made a bean salad. She used 534 cans of pinto beans and 1

34 cans of lima beans. How

many cans of beans did she use total for the salad?Answer:

19. Nick collected 13 of a bucket of aluminum cans. His sister collected 8 times as many

aluminum cans. How many buckets did his sister collect?Answer:

20. Mary made pickled beets and cucumbers. She made enough beets to fill 25 of a jar. If she

made 5 times as many cucumbers as beets, how many jars will the cucumbers fill?Answer:

21. Divide. 415

÷5 35=¿

Answer:

22. Divide. 512

÷1 56=¿

Answer:

23. Chris needs to add 34 cup of sugar. He only has

14 cup measure. How many scoops of sugar

does Chris need to add?Answer:

24. Multiply. Write answer as a decimal. −5.4×1 12=¿

Answer:



25. Multiply. Write answer as a decimal. 312

×−2.6=¿

Answer:



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

Question Bank:

1. Simplify the expression. 5 x+2x+7 xAnswer:

2. Simplify the expression. 2 t+5 t−3 tAnswer:

3. Simplify the expression. −6a−3aAnswer:

4. Simplify the expression. 9 x+x+4 xAnswer:

5. Simplify the expression. 6a+a−2aAnswer:

6. Simplify the expression. 25 r+12 rAnswer:


Problem: Write an equivalent expression for 2(x – 6) + 2.

Answer:2x - 10

Common Core 7.EE.A.1:Use properties of operations to generate equivalent expressions.

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.


7. Which equation shows the associative property of multiplication?a. a+b=a ∙cb. a ∙ c=c ∙ac. a ∙ (c−b )=a ∙ c−a∙bd. a ∙ (c ∙b )=(a ∙ c ) ∙ bAnswer:

8. Which property of addition is shown? 7=7+0a. associativeb. commutativec. identityAnswer:

9. Which property of multiplication is shown? (2+8 ) ∙6=2 ∙6+8 ∙6a. associativeb. zeroc. distributived. identityAnswer:

10. Which property of addition is shown? (8+11 )+5=8+ (11+5 )a. associativeb. identityc. commutativeAnswer:

11. Which property of addition is shown? 6+2=2+6a. associativeb. identityc. commutativeAnswer:

12. Which property of addition is shown? (3×2 ) ×4=3× (2×4 )a. associativeb. distributivec. identityd. zeroAnswer:



13. Simplify the expression. 2 (6+2a )Answer:

14. Factor the expression. 5 x+35Answer:

15. Simplify the expression. 5 ( x+2 )Answer:

16. Factor the expression. 6a−12Answer:

17. Simplify the expression. 5 (5b+5 )Answer:

18. Simplify the expression. 2 (9 y−2 )Answer:

19. Simplify the expression. 2 (5a )Answer:

20. Simplify the expression. 7 (1+7h )Answer:

21. Simplify the expression. 1+ (a+1 )=¿Answer:

22. Simplify the expression. 2 (1+4b )=¿Answer:

23. Simplify the expression. 5 (4 x )=¿Answer:

24. Simplify the expression. 3 (3a+2 )=¿Answer:

25. Simplify the expression. 5b+5bAnswer:



7th Grade Math: 7.EE.A.2

Question Bank:

1. If a product that costs $b is on sale for 25% off, how much will it cost?Answer:

2. Write an expression for the sequence of operations, subtract 2 from x, subtract the result from 7.

Answer:

3. Write an expression for the sequence of operations, add 5 to a , then double what you have.Answer:

4. Write an expression for the sequence of operations, add 5 to y and 2, subtract the result from 10.

Answer:

5. A bathing suit is on sale for 30% off. Write the sale price of the bathing suit as the difference of and a product of the original price, x.

Answer:


Problem: Write an expression for the sequence of operations of – add 2 to x, subtract the result from 3, then double what you have.

Answer:2(3 – (x + 2))

Common Core 7.EE.A.2:Use properties of operations to generate equivalent expressions.

Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.


6. Steve gets a 2% raise every year. He made $54,000 this year. How much will Steve make next year?

Answer:

7. All varieties of candy bars are being sold for the fundraiser for $2.50. Kate buys milk chocolate and caramel. Write an expression that represents the total cost, T , of the candy bars if a represents the number of milk chocolate, and b represents the number of caramel.

Answer:

8. Sarah and Susan both get paid an hourly wage of $12 an hour. This week Sarah made an additional $30 for working overtime. Write an expression that shows the weekly wages of both together, if a=¿ the number of hours that Sarah worked this week and b=¿ the number of hours Susan worked this week?

Answer:

9. Richard is 5 feet tall. Every year Richard grows 5% taller. How tall will Richard be next year?Answer:

10. Mark wants to buy ice cream. All of the ice cream at the shop is $2.55. Mark buys vanilla and chocolate. Write an expression that represents the total cost.

Answer:

11. Mary has to buy markers for her poster. All of the markers are $2.50. Mary buys a black marker and a yellow marker. Write an expression that represents the total cost.

Answer:

12. Chris is a bakery store manager. He makes $30 a day. Chris gets a 4% pay increase every year. What will Chris’s salary be next year?

Answer:

13. Burt eats 2 pears an hour. Ernie eats 3 pears an hour. This week Ernie eats an additional 3 pears. Write an expression that represents the number of pears they ate this week.

Answer:

14. Sandy is trying to see how long she can grow her fingernails. Her nails are 46 cm long. Every year her nails grow 6% of her nails length. What will be the length of her nails next year?

Answer:



15. Simon likes to collect rocks. He has a jar of rocks that has 4 inches of rocks in it. Every week he fills the jar by an additional2%. How many inches will the jar of rocks have next week?

Answer:

16. Barbara wants to buy some fruit. All varieties of fruit are $4.20 per bag. Barbara buys 1 bag of apples and 1 bag of oranges. Write an expression that represents the total cost, T , of the fruit if a represents the number of apples and o represent the number of oranges.

Answer:

17. Ken sells 13 cellphones per hour. Perry sells 16 cellphones per hour. This week Perry sells an additional 20 cellphones. Write an expression that represents the weekly sales of both. Let k=¿ the number of hours that Ken sold cellphones for this week and p=¿ the number of hours Perry worked this week.

Answer:

18. Robert weighs 105 kg. Every year his weight increases by 3 g. What will Robert’s weight be next year?

Answer:

19. Katherine’s hair is 13 inches long. If her hair grows at a rate of 8% each year. How long will her hair be next year?

Answer:

20. Blake’s dog weighs 20 lbs. The vet said his dog will weigh 10% more by next year. How much will Blake’s dog weigh next year?

Answer:

21. Bud wants to buy some toys. All varieties of toys are $2.21 each. Bud buys 1 matchbox car, and 1 box of jacks. Write an expression that represents the total cost, T , of the toys if m represents the number of matchbox cars and j represents the number of jacks.

Answer:

22. Ralph is 61 inches tall. The doctor told his mom when he is done growing he will be 15% taller. How tall will Ralph be when he is done growing?

Answer:

23. Use substitution to determine if 2 (3x+2 ) is equivalent to 2 (2 x+3 ).Answer:



24. Use substitution to determine if 14 y+6 is equivalent to 8 y+6 ( y+1 )Answer:

25. Write an expression to solve 30% of 50.Answer:



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

Question Bank:

1. How do you write 52,000 in scientific notation? Answer:

2. Which sign makes this sentence true? 6.0×103? 6.0×105

a. ¿b. ¿c. ¿

Answer:

3. What is 32.6 rounded to the nearest whole number?Answer:

4. Estimate the sum by rounding to the nearest whole number then adding. 15.22+41.5Answer:


Problem: A family is going on 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:2x + 15 = 58, x = $21.50

Common Core 7.EE.B.3:Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

Pleasentview

Ridgewood

Watertown

10.2km 7.3km


5. Which sign makes the sentence true? 8? 4×1.55a. ¿b. ¿c. ¿

Answer:

6. Which sign makes the sentence true? 3.50? .50+3.00a. ¿b. ¿c. ¿

Answer:

7. Using the path shown, how far is it from Pleasantview to Ridgewood?

Answer:

8. Solve. 0.3+2.5+0.5+0.1=¿Answer:

9. What number will make the fractions equal? 1❑= 2

10Answer:

10. Which fraction is less? 29 or

27

Answer:


eat ice cream


11. On the way home from the store Jon finished 23 of a can of soda. Jack finished

14 of his soda. Who

finished a greater fraction of their soda?Answer:

12. At the swim shop 310 of the merchandise sold were women’s bathing suits. Men’s swim shorts were

19 of the merchandise sold. Which merchandise sold the most?

Answer:

13. Katie left her house at 11:30 a.m. She is going to the city library. Her walk to the bus stop takes 10 minutes; her bus ride is 45 min. What time will Katie get to the library?

Answer:

14. Sidney has $0.16. If she only has dimes and pennies. How many dimes and pennies does she have?Answer:

15. 8 students in Roger’s class like to eat pie. 10 people like to eat ice cream, and 5 people like to eat both pie and ice cream. How many people like to eat ice cream but not pie?

Answer:

16. Tina bought 6 pieces of gum and candy. The gum cost $ .05 and the candy cost$ .02. If Tina spent $ .24, how many of each did she buy?

Answer:

17. Ken has saved his allowance for 3 months. He saved $12 in March, $10 in April, and $17 in May. Ken bought a pizza for $5 and a new shirt for $15. How much money does Ken have left?

Answer:


eat pie


18. The shoe factory makes 221 pairs of shoes a day. How many pairs of shoes does the factory make in 15 days? Choose the best estimate.

a. $33,000b. $4,000c. $3,300d. $3,000Answer:

19. A 3 gallon bucket of milk shake mix cost $20.64. What is the price per unit?Answer:

20. Which sign makes the sentence true? 30%? 12

a. ¿b. ¿c. ¿Answer:

21. Write 0.5 as a fraction in simplest form.Answer:

22. Write 24 in lowest terms.

Answer:

23. How much would it cost to buy 2 pounds of peanuts, and 3 pounds of almonds?

Hazelnuts $3.85 lbAlmonds $4.23 lbPecans $4.89 lbPeanuts $2.85 lbAnswer:

24. Write 12 as a decimal number.

Answer:

25. Bill and Bob are brothers. Every night they race to see who can finish their homework first. Bill

completed 13 of his homework, Bob finished

45 of his homework. Who has finished the greater

portion of their homework?Answer:





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

Question Bank:

1. Rachel bought tickets to the game for $27, there are 26 friends going to the game, besides herself. If Rachel has 39 friends go to the game besides herself, how much will the tickets cost? Assume the relationship is directly proportional.

Answer:

2. Jake had pizza 3 days in 1 week for dinner. In 3 weeks how many days will Jake eat pizza. Assume the relationship is directly proportional.

Answer:

3. My grandma canned 10 jars of pickles in in 2 days. How many jars of pickles can she can in 6 days? Assume the relationship is directly proportional.

Answer:

4. The luncheon will cost $16 if 4 people attend. If 7 people attend how much will the luncheon cost? Assume the relationship is directly proportional.

Answer:


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:$2.85

Common Core 7.EE.B.4a:Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

X =

1

1 1

1

1

1 1

1 1

1

X =

1 1

1

1

1 1


5. Jen was on the phone a total of 33 minutes with 3 phones calls at the call center where she works. If she takes 7 more calls while she is at work, how long will she be on the phone today altogether? Assume the relationship is directly proportional.

Answer:

6. What equation does the set of tiles represent?

a. x+3=3b. x+3=6c. x3=6d. 3 x+3=6Answer:

7. Write an equation to describe what the tiles represent.

Answer:

8. Solve for a . 5=a−5Answer:

9. Solve for x . 2 x=8Answer:

10. Solve for y . 1= y−1Answer:



11. Solve for m . m3

=1

Answer:

12. Solve for a . a−1=1Answer:

13. Solve for x . 3 x−2=1Answer:

14. Solve for y . 2+3 y=8Answer:

15. Solve for b . 2b+2b=16Answer:

16. Solve for n . 13n−8n=15Answer:

17. Solve for x . 2 x+5 x=14Answer:

18. This equation shows how the total amount of aluminum cans the Smith household recycles depends on the number of weeks since the Smith’s started recycling.

p=13w

wrepresents the number of weeks the Smiths have been recycling. p represents the total pounds of aluminum cans recycled. After 4 weeks, how many pounds of aluminum cans will the Smith’s recycle?

Answer:



19. This equation shows how the number of yards of yarn Mary has left is related to the number of scarves she crochets.

y=−9 s+65

s represents the number of scarves Mary has crocheted. y represents the number of yards of yarn remaining. If Mary crochets 6 scarves, how many yards of yarn will she have left?

Answer:

20. What value of a makes the sentence true? a+80=80+100Answer:

21. What value of y makes this sentence true? 50 ∙ (27 ∙ y )= (50 ∙27 ) ∙20Answer:

22. What value of x makes this sentence true? x=12 ∙1Answer:

23. What value of b makes this sentence true? 5+ (50+16 )=(b+50 )+16Answer:

24. What value of m makes this sentence true? 0 ∙85=mAnswer:

25. What value of t makes this sentence true? ( t+60 ) ∙57=42 ∙57+60 ∙57Answer:



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

Question Bank:

1. Which of the following is a solution to the inequality? 6≥ aa. a=11b. a=2c. a=7d. a=9Answer:

2. Is y=5 a solution to the inequality below? yes or no y≥11Answer:

3. Which of the following is a solution to the inequality? 11<aa. a=12b. a=4c. a=2d. a=8Answer:


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

2>x

a . x=3b . x=1c . x=11d . x=4

Answer: b

Common Core 7.EE.B.4b:Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.


4. What inequality does the number line show? Write your answer starting with x. For example, x<5. Use symbols ¿ ,>, ≤ , ≥,≡

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5. What inequality does the number line show? Write your answer starting with x. For example, x<5. Use symbols ¿ ,>, ≤ , ≥,=¿

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6. Graph x>4

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7. Graph x≤5

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8. Graph x<7

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9. Graph x≥7

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10. Solve for a. 2a≤2 Write your answer with a first, then the inequality symbol.Answer:

11. Solve for x. x−3≥1 Write your answer with x first, then the inequality symbol.Answer:

12. Solve for y. 3 y ≤6 Write your answer with y first, then the inequality symbol.Answer:

13. Solve for n. 2n−4≥2 Write your answer with n first, then the inequality symbol.Answer:

14. Solve for b. 2b+2≥6Write your answer with b first, then the inequality symbol.Answer:

15. Solve for a. 4 a+3≤19 Write your answer with a first, then the inequality symbol.Answer:

16. Solve for x. 4−2x≤2



Write your answer with x first, then the inequality symbol.Answer:

17. Solve the inequality and graph the solution.x8>1

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18. Solve the inequality and graph the solution. 3− y≤−3

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19. Solve the inequality and graph the solution. 3a≥6



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20. Solve the inequality and graph the solution. x−7← 4

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21. Solve the inequality and graph the solution. 2b−9>−3



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22. Solve the inequality and graph the solution. 4 a+1>9

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23. Solve the inequality and graph the solution. 2+2 y<6

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24. Solve the inequality and graph the solution. 3m+1<10



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25. Solve the inequality and graph the solution. 4−3 a≥−5

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gonzagateach.wikispaces.com€¦ · Web view“The Common Core State Standards provide a consistent, clear understanding of what students are expected to learn, so teachers and