UCS MATH 7 Semester 1 Exam---REVIEW #1 1 The highest ...macomb.k12.mi.us/utica/Eppler/media/12-13 Mid-Term Review Guides... · 1 The highest temperature ever recorded in Florida was

2012-2013 MATH 7 Semester 1 Exam Review Guide #1 Page 1

UCS MATH 7 Semester 1 Exam---REVIEW #1

1 The highest temperature ever recorded in Florida was on June 29, 1931. The

temperature that day was 109°F. What number represents the additive inverse of

this record high temperature?

A -109 C

B 0

D 218

2 Which two numbers have a combined distance of 22.6 from 0 on the number line?

A 12.8 and -9.2 C -18.2 and 4.1

B 18.4 and -3.2 D -11.4 and 11.2

3 This chart shows the temperatures taken at noon for five consecutive days.

If the difference between the temperature on Wednesday and the temperature on Thursday is | | degrees, which

temperature could be Thursday’s?

Day Temperature (F)

Monday 65o

Tuesday 70o

Wednesday 71o

Thursday n

Friday 93o

A –17° C 77°

B 17° D 88°


4 In the first week of a fundraiser, Kyle sold 8 magazines. In the second week, he did not sell any magazines. Which property of real numbers is demonstrated by

the equation 8 + 0 = 8 ?

A Associative property of addition

B Commutative property of addition

C Identity property of addition

D Distributive property

5 A ferry from town A to a nearby island runs 8 times each day. The maximum

capacity of the ferry is 85 people. What is the maximum number of people the ferry can take from town A to the island each day?

A 85 people C 680 people

B 170 people

D 850 people

6 Marlee recorded the temperature at 12:00 p.m. as 73°F. at 3:00 p.m. she

recorded the temperature at 61°F. What is the change in temperature per hour?

A – 12°F

C 4°F

B –4°F D 12°F

7 Jared’s class measured the daily outside temperature throughout the school year.

The lowest temperature that the students recorded was – 7°F, and the highest was 95°F. What is the difference between the highest and lowest temperatures?

A 88°F C 98°F

B 89°F

D 102°F


8 Haru is using a scale to measure the mass of a rock. The scale reads 6.5 grams when Rock A is placed on it. When he puts Rock B on the scale, he notes that the

scale reads 54.5 grams. What must Haru do to get the correct mass of the rock?

A add 6.5 to 54.5 C Subtract 6.5 from 54.5

B add 13.0 to 54.5 D Subtract 13.0 from 54.5

9 Look at the number line below.

A move P left

, move Q left

,

then add P and Q

C Move P left

, move Q right

,

and

then add P and Q B move P right

, move Q left

,

then add P and Q

D Move P right

, move Q left

,

and then add P and Q

10 Alicia and Kevin go to a park trail. They start together at the center of the trail,

but Alicia goes

miles west on her bike while Kevin jogs

miles east. How far

apart are they at noon?

A 2

miles C

miles

B 8

miles D

mile

Trail starts at 0

Which results in 0?


11 Solve.

(

)

A

C

B

D

12 Mr. Sanford asked his class to rewrite this expression using the commutative

property of multiplication. (2 x 3) x 7

Which of the following is correct?

A 7 x (2 x 3) C 2 x (3 x 7)

B (2 x 7) + (3 x 7) D (7 + 2) x (7 + 3)

13 When Cal and Ina arrived late for a pizza party, there was only

of a pepperoni

pizza and

of a cheese pizza remaining. Together they ate of the remaining

amounts of each pizza.

• Using the distributive property, write an expression to determine the fraction of both pizzas they ate.

• Simplify the expression to determine the fraction of both pizzas they ate. Use words, numbers, and/or pictures to show your work. Write your answer(s) on the paper provided.

SHORT ANSWER:


14 Ms. Kently wrote this table on the board.

Which solution correctly completes the table of solutions for

?

X Y

-4 1

4 -1

8 -2

A (-2,8) C (0,-4)

B (-8,2) D (-4,0)

15 A class has 30 cups of popcorn. They are filling individual bags with

cups of

popcorn. Write a number sentence to show how many bags they can fill with the

popcorn.

SHORT ANSWER:

16 A goldfish was

inches long.

Which of the following is another way to express

?

A

C 4.14

B

D 4.25


17 Alexis owns a hair salon. The profit she earns from each haircut is modeled by the

expression below. 25x – 2(4x + 100)

Which of these shows the amount of profit in simplified form?

A 17x - 200 C 17x + 200

B 17x + 100

D 17x -100

18 The equation l = 2w – 7 shows the relationship between the length, l, and the

width, w, of this rectangle.

Which of the following statements correctly describes this relationship?

A Twice the width is 7 units less than the length.

B The length is 7 units less than the width.

C The length is 7 units less than twice the width.

D Twice the length is 7 units less than the width.

19 The price of milk is $2.89 per gallon. If the price increases by 10%, what

expression shows the computation used to find the new price?

A C

B D


20 Leanne observed that the temperature was 84°F at 4:00 P.M., but a cold front caused it to drop to 78°F at 5:30 P.M. At this rate, what would be the temperature at 8:00 P.M.?

A 60°F C 72°F

B 68°F D 70°F

21 Evaluate the expression when x = 3 and y = -8 and x2 + 5y - 2.

A –36 C 47

B –33 D 77

22 Which fraction is equivalent to

?

A

C

B

D

23 Pauline paid $3.85 for a long-distance phone call she made to her grandmother. Her phone company charged $0.20 to connect and $0.05 per minute. Solve the equation 0.05m + 0.20 = 3.85 to find the number of minutes, m , that Pauline

was on the phone with her grandmother.

A 73 minutes

C 81 minutes

B 77 minutes D 97 minutes

24

Leslie budgeted no more than $25 for a newspaper ad. The ad costs $11 plus $2 per line (L). She uses this inequality to find how many lines the ad can contain:

2L + 11 ≤ 25 What is the GREATEST number of lines Leslie can have in her ad?

A 5 C 12

B 7 D 14


25 Chicken strips at a restaurant sell for the following prices:

4 pieces for $2.40 6 pieces for $3.00

How much do customers save per chicken strip if they buy the larger quantity?

A $0.10 C $0.30

B $0.20

D $0.60

26 Forty-five out of seventy-five students earned an A on a science exam. Which of the following is an equivalent way to write this ratio?

A

C

B

D

Answer: C

Standard: 7.RP.2.a

27 Last week, Ms. Harris paid $250 for 40 hours of child care. Which statement

describes the rate Ms. Harris paid for child care?

A She paid $0.16 per hour. C She paid $9.60 per hour.

B She paid $6.25 per hour. D She paid $16.00 per hour.

28 Katie decided to paint a new picture. This time, for every 3 striped squares, she

painted 2 shaded squares. When she was done, she had painted 8 shaded

squares. What proportion could be used to find how many squares were striped?

A

C

B

D


29 Which statement is true for the point in the graph?

A About 30 pints of potatoes are needed for 78 meals.

B About 78 pints of potatoes are needed for 30 meals.

C After 78 meals are served, about 30 pints of potatoes are not used.

D After 30 meals are served, about 78 pints of potatoes are not used.

30 Diego is volunteering as a counselor at a children's camp. The ratio of counselors

to campers must be 1:8. If 100 children have signed up for the camp, how many counselors are needed?

A 8 C 12

B 10 D 13

2012-2013 MATH 7 Semester 1 Exam REVIEW GUIDE #2 Page 1

UCS MATH 7 Semester 1 Exam REVIEW GUIDE #2 The exam is a 2-part exam. Part I—No Calculators will be allowed. Part II—Calculators will be allowed. For the review guide, do the question labeled NC without a calculator.

1 NC---Which situation has quantities that combine to make zero?

A Kesha had $5 and her mom gave her $5 more.

C A penguin swam 6 feet down in the water and then swam 6 feet back up.

B A dog buried 3 toys in the front yard and 3 toys in the backyard.

D Isabella drank

of a gallon of the

lemonade.

2 NC---A street in New Orleans has an elevation of -4 feet above sea level. A child released a balloon from the street. The balloon rose to an elevation of 200 feet above sea level. Which BEST shows the total distance the balloon traveled?

A | | C | | | |

B | | D | | | |

3 NC---Look at the number line. What is the distance between the two points indicated?

A 5 C 200

B 50

D 250


4 NC---Tracy and Angela competed in a trivia game in which each player gains or loses points in each round. In the last round, Tracy had 985 points and lost 387 points. Angela had 502 points and received an additional 183 points. What was the winner’s score?

A 570 C 685

B 598 D 889

5 NC---Joey and his family are going bowling. There are 3 adults and 4 children in the group. Each adult costs $8.00 and each child costs $5.00. What is the total cost for Joey’s family to go bowling?

A $13.00 C $24.00

B $20.00

D $44.00

6 NC---A diver descends 18 feet and then descends 18 feet more. His position can be represented by the expression 2 x (-18). Which number is equivalent to 2 x (-18)?

A -36

C -16

B -20 D 36

7 NC---Which expression is equivalent to (-3 x 10) x 26, and why?

A -3 x 10 + -3 x 26 Distributive Property

C -3 x (10 x 26) Associative Property

B -3 x (10 + 26) Distributive Property

D -3 x (26 x -10) Commutative Property


8 Kenny buys a huge 1-foot (12-inch) Toblerone candy bar and breaks it in half. He eats 5/6 of one of the halves of the candy bar today, because it is so big. How much of the original candy bar will he have left over for tomorrow, in inches?

Short Answer:

9 Due to the new IPAD, stock prices for Apple have increased by

over the last 4

days. How much did it drop per day?

A

C

B

D 0

10 Mr. Gill is draining his pool. The sump pump he is using changes the water level

by

inches per hour. A stronger pump would drain the pool 2 times as fast.

What would the change in water level be per hour with the stronger pump?

A

C

B

D

11 Josh bought 18.55 feet are carpet for his bedroom. He used 17.3 feet. What fraction of carpet does he have left over?

A 1.25 C


B

D 35.85

12 What is the additive inverse of – 0.8 ?

A

C

B D

13 At the beginning of the month, Mike’s bank account balance was $ 312.25. During the month, she made withdrawals of $ 51.54 and $106.75, and deposits of $36.45 and $28.65. What was Mike’s bank balance at the end of the month?

A $404.44 C $220.06

B $157.29 D $65.10

14 Solve 8c – 5 = 27.

A c =- 4 C c = - 2.75

B c= 2.75 D c= 4

15 NC---Solve.

(

)

A

C

B

D


16 NC---Evaluate.

A 0

C 40

B 36 D 148

17 NC---Mark read a 98-page science fiction book. It took him 32.5 minutes on Friday evening and 16.5 minutes on the following Saturday morning to read the entire book. How many pages per minute did Mark read?

A 1 page

C 3 pages

B 2 pages

D 4 pages

18 NC---Troop 95 is selling cookies for $2.50 per box. Kia sold 12 more boxes of cookies than Mallory. If Mallory sold z boxes, which expression shows how much money the girls made together selling boxes of cookies for the troop?

A 2.50 • z + 12 C 2.50 • z + z + 12

B 2.50(z +12)

D 2.50(z + z + 12)

19 NC---An accountant is figuring out a company’s profits, p, by comparing its revenues, r, to its costs, c. She used the formula below. p = r – c Which BEST describes the formula?

A Revenues and costs are always equal.

C Profit is the product of revenues and costs.


B Profit is the sum of revenues and costs.

D Profit is the difference between revenues and costs.

20 NC---The winning basketball team made

of their free throw attempts. Which

fraction is equivalent to

?

A

C

B

D

21 NC---Craig completed his math homework in

of an hour. Kate finished her math

homework in

that time. Which of the statements below is true?

A Craig finished his math homework in 10 minutes.

B Kate finished her math homework in 30 minutes.

C Craig finished his math homework in

of an hour.

D Kate finished her math homework in

of an hour.

22 In the equation below, m, represents the total amount of money Jared had when he began his vacation.

m - 97 = 59

How much money did Jared have at the start of his vacation?

A $38 C $146

B $42

D $156


23 Adam estimates the hours (h) it will take to repair a broken pipe using the inequality below.

Which shows the number of hours it will take Adam to repair the pipe?

A C

B

D

24 Karen drove a long distance to visit her relatives. She traveled 605 miles in 11 hours. What was her average rate of speed?

A 11 miles per hour C 55 miles per hour

B 50 miles per hour

D 605 miles per hour

25 Cassie counted the number of bike riders wearing helmets on a bike path. She saw 48 riders wearing helmets–out of 60 riders in all. Which is an equivalent way to write this ratio?

A

C

B

D

26 Mark read a 98-page science fiction book. It took him 32.5 minutes on Friday evening and 16.5 minutes on the following Saturday morning to read the entire book. How many pages per minute did Mark read?

A 1 C 3


B 2 D 4

27 Janet is 48 inches tall, and Lucy, her younger sister, is 32 inches tall. At 2:30 in the afternoon, Lucy's shadow extends 34 inches. How far does Janet's shadow extend at 2:30 in the afternoon?

A 23 inches C 51 inches

B 48 inches D 72 inches

28 Which statement BEST explains point A on the graph?

A At 60 miles, the car has reached its slowest speed.

B The car travels at a constant rate of 60 miles per hour.

C The car travels at a constant rate of 1 mile per 60 minutes.

D At 1 hour of driving, the car has reached its greatest speed.

29 Frank is helping his father make his favorite punch for a family party. The recipe calls for 2 cups of cranberry juice and makes 6 servings. If they are expecting 21 guests and each guest has one serving, how many cups of cranberry juice do they need in order to serve all of their guests?

A 3

cups C 10

cups


B 7 cups

D 11 cups

Documents

UCS MATH 7 Semester 1 Exam---REVIEW #1 1 The highest ...macomb.k12.mi.us/utica/Eppler/media/12-13 Mid-Term Review Guides... · 1 The highest temperature ever recorded in Florida was