grade 7 winter review math packetadamerritt.dadeschools.net/documents/2104-2105/7th grade...

Student Name:___________________________ Math Teacher:_____________

Date:______________________ Period:_____

GRADE 7

WINTER REVIEW

MATH PACKET

2014-2015

1. Caroline wants to give 8 equal size packets of flower seeds to her friends. She has pound of flower seeds.

How much will each packet of seeds weigh?

a. lb b. lb

c. 4 lb d. 16 lb

2. Marco has a jug with 37 ounces of juice. He wants to use some small cups to pass out samples of the juice.

Each cup can hold 2 ounces of juice. How many cups can Marco fill with juice samples?

a. cup b. 15 cups

c. 18 cups d. 93 cups

3. A volunteer has 12 pounds of birdseed to put in bird feeders in all of the city parks. There are 3 cups of

birdseed in a pound, and each bird feeder holds about cup of birdseed. How many bird feeders can the

volunteer fill completely?

a. 4 bird feeders b. 29 bird feeders

c. 39 bird feeders d. 52 bird feeders

4. Darron uses a family recipe to make hamburgers. If he plans on using 1 cups of bread crumbs, about how

many pounds of hamburger does Darron need to use to keep the relationship between bread crumbs andhamburger proportional?

Bread Crumbs (c)

Hamburger (lb) 1 2 3

a. 5 pounds b. 5 pounds

c. 4 pounds d. 4 pounds

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7th Grade Winter Packet 2014-2015

5. Determine whether the relationship between the two quantities is proportional. Choose the correct answer.

a. No, because the graph of the line connecting the ordered pairs passes through the origin.

b. No, because the graph of the line connecting the ordered pairs does not pass through the origin.

c. Yes, because the graph of the line connecting the ordered pairs passes through the origin.

d. Yes, because the graph of the line connecting the ordered pairs does not pass through the origin.

6. Use the graph to find the constant rate of change of the number of books printed per hour in a printing press.

a. b.

c. d.


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7. The height of a sunflower plant varies directly with its age. Once it has sprouted from the ground, when asunflower is 2 week old, it is 38 centimeters tall. When it is 6 weeks old, it is 114 centimeters tall. How tall is a

sunflower plant that is 3 weeks old?

a. 47.5 cm b. 57 cm

c. 66.5 cm d. 76 cm

8. Laura ordered a set of blue and black pencils. She received 120 pencils, and 59% of them were black. Abouthow many black pencils did Laura receive?

a. 72

b. 48

c. 192

d. 120

9. Last weekend, 5% of the tickets sold at Seaworld were discount tickets. If Seaworld sold 60 tickets in all, howmany discount tickets did it sell? Use the percent proportion.

a. 60

b. 63

c. 3

d. 57

10. A digital camera costs $185 and the sales tax rate is 5.7%. What is the total cost of the camera after tax.Round to the nearest cent if necessary.

a. $195.54

b. $185.00

c. $10.54

d. $174.46

Find the sale price to the nearest cent. 11. A radio is being discounted 20%. If the sale price of the radio is $51.44, what was the original price of the

radio?

a. $12.86

b. $64.30

c. $41.15

d. $65.05


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12. Find the simple interest earned in a savings account that pays 5% interest if $500 is deposited for 4 years.

a. $100

b. $1000

c. $600

d. $500

Use the draw a diagram strategy to solve.

13. Jeff and his family are driving to visit his grandmother. They have driven about 30 miles, which is about of the

way. How much further do they have to go?

a. 5 miles

b. 15 miles

c. 35 miles

d. 45 miles

14. Nina is bouncing on a trampoline. Her fourth bounce is 6 feet high. Each bounce afterwards is two-thirds ashigh as the bounce before it. How high will her sixth bounce on the trampoline be?

a. 1 ft

b. 2 ft

c. 2 ft

d. 2 ft

15. At a school fair, 70% of the people are under 16 years old. One-third of the people remaining are teachers. Ifthere are 21 teachers at the fair, how many people are there at the fair total?

a. 63

b. 126

c. 189

d. 210

Use one or more properties to rewrite the expression as an equivalent expression that does not useparentheses.

16. (5 + 10p) + 13

a. 28p

b. 15p + 13

c. 23p + 5

d. 10p + 18


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Use the Distributive Property to write each expression as an equivalent expression. Then evaluate theexpression.

17. 8(5 - 1)

a. 8 × 5 - 8 × 1 = 48

b. 8 × 5 - 8 × 1 = 32

c. 8 × 5 - 1 = 39

d. 8 × (5 - 1) × 8 = 256

Use the Distributive Property to rewrite each expression. 18. –6(r– 8)

a. 48r

b. –6r– 8

c. –6r+ 48

d. r+ 48

Add. Use models if needed. 19. (6x+ 8) + (–7x– 11)

a. 14x – 18

b. –x + 3

c. –x – 3

d. 14x + 18

Subtract. Use models if needed. 20. (–2x+ 6) – (13x– 16)

a. 11x– 10

b. 11x+ 22

c. –15x– 10

d. –15x+ 22

21. Christopher has saved $40 toward the purchase of a new gaming system. If x is the amount he saves eachmonth for six months, the expression 6x + 40 represents the total cost of the gaming system. Factor theexpression.

a. 6(x + 40) b. 2(3x + 20)

c. 6(x + 20) d. 2(3x + 40)


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22. Write an equation to represent the situation.

Mrs. Davis bought one pair of pants and two polo shirts for each of her three children. She had $3.09 left afterpurchasing the clothing items for her children.

Item Price ($)

polo shirt $9.99

pants $12.99

sweater $15.99

jacket $19.99

Let m represent the amount of money Mrs. Davis initially had to spend on each of her three children.

a. (m – 3.09) = 32.97

b. 2(m – 32.97) = 3.09

c. 3(m – 22.98) = 3.09

d. 3(m – 32.97) = 3.09

23. Wade wants to buy sweaters. He has $175 and each sweater costs $12.00. Write and solve an inequality to findhow many sweaters he can buy and still have at least $55.

a. 175 – 12.00q ≥ 55; q ≤ 10

b. 175 – 12.00q ≥ 55; q ≥ 10

c. 175 – 12.00q ≤ 55; q ≥ 10

d. 175 – 12.00q ≤ 55; q ≤ 10

Solve each inequality. Graph the solution set on a number line. 24.

a.

b.

c.

d.


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25.

a.

b.

c.

d.

26. Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for differentperiods of time. What does the point (7, 70) represent?

a. The unit rate of $70 per hour.

b. The unit rate of $7 per hour.

c. The cost of renting the scooter for 70 hours is $7.

d. The cost of renting the scooter for 7 hours is $70.

27. Solve –3(c – 1) = 33.

a. 10

b. –12

c. –10

d. 12


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28. Solve (n+ 10) = 6.

a. –6

b.

c. 6

d.

29. Write an equation to represent the situation.

Justin and his two brothers each earned the same amount of money washing cars. Each boy spent $12.Afterward, the boys had $24 altogether.

Let m represent the amount of money each boy received.

a. (m – 12) = 24

b. 2(m – 12) = 24

c. 3(m – 12) = 24

d. 3(m – 24) = 12

30. The table shows the distance Kelly swam over a four-day period. What was the total distance, in miles, thatKelly swam?

a. 10.5 miles

b. miles

c. miles

d. 9 miles


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31. Each of the first 4 pit stops a race car driver makes loses ten seconds off the leader. The pit crew makesadjustments, and at each of the next two pit stops he gains 7 seconds on the leader. How much time is thedriver off the leader?

a. –40 seconds

b. 14 seconds

c. –26 seconds

d. –54 seconds

32. Gasoline prices occasionally fluctuate during a two-month period of time. Prices increased 34 cents per gallonduring the month of April and decreased 17 cents per gallon during the month of May. Which situation has thegreater absolute value? Explain.

a. Increase of 34 cents; and

b. Increase of 34 cents; and

c. decrease of 17 cents; and

d. decrease of 17 cents; and

Write each fraction or mixed number as a decimal. Use bar notation if the decimal is a repeatingdecimal.

33.

a. 7.6

b. 3.2631578947

c. 3.95

d. 3.8

Multiply. Write in simplest form.

34. ( )

a.

b.

c.

d.


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Divide. Write in simplest form.

35. ÷

a.

b.

c.

d.


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Answer Key

1. a

2. b

3. d

4. a

5. b

6. c

7. c

8. a

9. c

10. a

11. b

12. a

13. b

14. d

15. d

16. d

17. b

18. c

19. c

20. d

21. b

22. d

23. a

24. d

25. c

26. d


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27. c

28. c

29. c

30. c

31. c

32. b

33. d

34. d

35. a


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grade 7 winter review math packetadamerritt.dadeschools.net/documents/2104-2105/7th grade...

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