Free Printable 7th Grade Math Review

1.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$1.25 per pound

b)

$1 per pound

c)

$2 per pound

d)

$1.50 per pound

2.

I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?

a)

$0.40

b)

$9.00

c)

$2.50

d)

$0.90

3.

8. Find the unit rate of $97.50 for 15 pizzas.

a)

$6 per pizza

b)

$82.50 per pizza

c)

$5.50 per pizza

d)

$6.50 per pizza

4.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

5.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

6.

Is this graph proportional?

a)

Yes

b)

No

7.

How do you find k?

a)

x/y

b)

y/x

c)

y=kx

d)

x ⋅ y

8.

Is this graph proportional?

a)

Yes

b)

No

9.

What does the point (2, 94) represent in this situation?

a)

Every week, they earn $94.

b)

After 94 weeks, they save $2.

c)

After 1 week, they save $47.

d)

After 2 weeks, they save $94.

10.

If the relationship in the table is proportional, write its equation.

a)

$y=2.8x$

b)

$x=2.8y$

c)

$y=2.125x$

d)

$x=2.125y$

e)

The relationship is not proportional

11.

If the relationship in the table is proportional, write its equation.

a)

$y=9x$

b)

$x=9y$

c)

$y=18x$

d)

$x=18y$

e)

The relationship is not proportional

12.

Which equation matches the graph?

a)

y = 8x

b)

y = 1x

c)

y = 3x

d)

y = 16x

13.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

14.

In an animal shelter, the ratio of cats to dogs is 3 to 5. If there are a total of 25 dogs at the shelter, how many cats do they have?

a)

15

b)

18

c)

21

d)

32

15.

2. COMPUTERS About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal computer?

a)

39 Computers

b)

4.3 Homes

c)

39 Homes

d)

4.3 Computers

16.

Write .506 as a percent.

a)

5.06%

b)

506%

c)

50.6%

d)

500.6%

17.

What is 20% of 75?

a)

15

b)

60

c)

6

d)

1.5

18.

What is 125% of 84 ?

a)

105

b)

188.5

c)

473.4

d)

356.7

19.

Last school year the enrollment of E.O Green junior high school was 1275 students. This year the enrollment is 1350. Find the percent of change. Round your answer to the nearest whole percent AND include whether it is an increase or a decrease.

(a)

20.

Lacey bought a new purse that originally cost $25 and is on sale for $15. Find the percent of change in the price in the purse.

a)

Decrease of 40%

b)

Decrease of 10%

c)

Decrease of 30%

d)

Decrease of 20%

21.

An archaeologist estimated that a fossil was 520 years old. It was actually 500 years old. What was the percent error?

a)

4%

b)

20%

c)

3.8%

d)

none of these

22.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

23.

Solve. -7x - 11 = 3

a)

2

b)

14

c)

-8

d)

-2

24.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x + 63 = 35

d)

35x + 7 = 63

25.

An electrician charges $90 per hour plus a $50 travelling fee. It costs $1000 in total.

a)

1000 = 50x + 90

b)

1000 = 90x + 50

c)

90 = 1000 + 50x

d)

90x = 1000 + 50

e)

50 = 90x + 1000

26.

Harris Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

a)

800 + 5x = 4000

b)

800x + 5 = 4000

c)

4000 + 5x= 800

d)

800 + 5 = 4000

e)

4000 = 800 + 5

27.

A plumber charges customers $37 for each hour worked, plus an additional $20 for travel. If w represents the number of hours worked, which expression will calculate the plumber's total charge?

a)

37 + 20 + w

b)

37w - 20

c)

37 + 20w

d)

37w + 20

28.

What inequality does the number line graph represent

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

29.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

30.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

31.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

32.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

33.

If the scale factor is greater than one, the new figure will be

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

34.

a)

0.25

b)

0.5

c)

2

d)

1/2

35.

Find missing side. If the scale factor is 1:3

a)

5

b)

7

c)

3

d)

11

36.

What is the scale factor from the Large rectangle to the Small rectangle?

a)

1

b)

2

c)

1/2

d)

-2

37.

Find the missing side.

If the scale factor is

1:2

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

38.

The diameter of a circular pool is 24.8 feet and the circumference is 77.9 feet. What should you do to find π?

a)

77.9 / 24.8

b)

24.8 / 77.9

39.

What is the circumference of this circle ? Type only number.

(a)

40.

What is the area of this circle?

a)

163.2

b)

15.3

c)

124.2

d)

113.04

41.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

42.

Find the missing angle.

a)

28°

b)

118°

c)

62°

d)

180°

43.

1. Find X

a)

28

b)

5

c)

55

d)

40

44.

Solve for x

a)

20

b)

25

c)

120

d)

180

45.

Find the volume of the figure. Round to the nearest whole number.

a)

1,944 cm³

b)

108 cm³

c)

972 cm³

d)

216 cm³

46.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

47.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

48.

Find the surface area of the rectangular prism.

a)

140 in.²

b)

83 in.²

c)

166 in. ²

d)

100 in.²

49.

What is the probability of spinning an EVEN number?

a)

16 $\frac{2}{3}$ %

b)

33 $\frac{1}{3}$ %

c)

50%

d)

75%

50.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

51.

Find the median.
12, 5, 9, 18, 22, 25, 5

a)

9

b)

8

c)

12

d)

18

52.

Find the mode.
12, 5, 9, 18, 22, 25, 5

a)

22

b)

18

c)

9

d)

5

53.

Find the mean.
90, 100, 95, 85, 60, 80

a)

85

b)

84

c)

86

d)

90

54.

Lizzy had test scores of: 72, 94, 108, 60
What is the RANGE of her test scores?

a)

12

b)

72

c)

48

d)

98

55.

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

11

7th Grade Math Review

Total questions: 55

Worksheet time: 4hrs 32mins

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