Free Printable 7th Grade Math Review

1.

Solve the following equation.
4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

2.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

3.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

4.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

5.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

6.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

7.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

8.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

9.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

10.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

11.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

12.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

13.

Find the circumference of the circle.

a)

14.13 cm

b)

63.56 cm

c)

28.26 cm

d)

127.17 cm

14.

What is the radius of this circle?

a)

18

b)

10

c)

9

d)

8

15.

What is the area of this circle?

a)

6082.12

b)

1520.53

c)

1893.14

d)

1292.92

16.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

17.

Find the missing angle.

a)

60°

b)

70°

c)

50°

d)

140

18.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

19.

complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

20.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

21.

Solve for x

a)

5

b)

90

c)

25

d)

10

22.

Which angles are vertical angles?

a)

$\angle8\ \&\ \angle7$

b)

$\angle8\ \&\ \angle6$

c)

$\angle8\ \&\ \angle5$

23.

complementary, supplementary, or neither?

a)

Complementary

b)

Supplementary

c)

Neither

24.

What is the measure of the missing angle?

a)

76

b)

66

c)

156

d)

154

25.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

26.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

27.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

28.

What is the probability of spinning red?

a)

0

b)

5/12

c)

1/2

d)

3/4

29.

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

a)

5/6

b)

1/2

c)

1/3

d)

1/6

30.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

31.

Experimental Probability is:

a)

What Will happen

b)

What actually happens

c)

What should happen

d)

What I think Happens

32.

Theoretical Probability is?

a)

What Should happen

b)

What does happen

c)

What Will Happen

d)

What I want to Happen

33.

Find the experimental probability:

Roll dice: 1, 3, 3, 4, 4

P(1) =

a)

3/5

b)

1/6

c)

2/5

d)

1/5

34.

What is the probability of pulling a red marble out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?

a)

1/7

b)

7/20

c)

7/10

d)

3/10

35.

Use the number line to find the sum.
3 + (-12) =

a)

-9

b)

9

c)

-15

d)

15

36.

Use the number line to find the sum.
-4 + (-5) =

a)

-9

b)

9

c)

-1

d)

1

37.

Which problem does not have a sum of (-4)?

a)

(-9) + (-5)

b)

3 + (-7)

c)

(-9) + 5

d)

(-3) + (-1)

38.

Which of the answers show the subtraction problem correctly rewritten as an addition problem?
−8 − 5

a)

8 + 5

b)

8 + (−5)

c)

−8 + 5

d)

−8 + (−5)

39.

-14 + (-3)

a)

-17

b)

11

c)

-11

d)

17

40.

-2 - (-10) = ?

a)

-12

b)

12

c)

8

d)

-8

41.

5 - 8 =

a)

13

b)

3

c)

-3

d)

-13

42.

30 + (-11) =

a)

41

b)

19

c)

-41

d)

-19

43.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

44.

Convert 4/5 to a decimal

a)

0.45

b)

0.5

c)

0.8

d)

0.4

45.

Convert 0.04 to a percent.

a)

0.04%

b)

4%

c)

40%

d)

.4%

46.

Convert 42% to a decimal.

a)

0.42

b)

4.2

c)

42

d)

0.042

47.

Convert 2% to a fraction.

a)

2/100

b)

2/50

c)

1/50

d)

0.02

48.

Convert 13/20 to a decimal.

a)

13.20

b)

0.65

c)

0.13

d)

6.5

49.

Convert 75% to a fraction.

a)

7.5

b)

75/100

c)

15/20

d)

3/4

50.

Convert 0.3333..... as a percent.

a)

33%

b)

.33%

c)

33.33%

d)

3%

51.

Convert 0.98 as a percent.

a)

9.8%

b)

98%

c)

0.98%

d)

90%

52.

Convert 6/25 to a percent.

a)

0.6

b)

0.25

c)

0.24

d)

0.625

53.

Convert 0.5 as a fraction.

a)

5/10

b)

1/2

c)

50%

d)

5/100

54.

What is the mean of the data set:
8.9, 9.4, 8.6, 9.1

a)

8.5

b)

8.9

c)

9

d)

9.1

55.

What is the first thing you should do before finding the median or the mode?

a)

Start crossing numbers off

b)

Put numbers in order from least to greatest

c)

List the numbers how they are

d)

Look for repeats

56.

Find the mean of the data set:
34, 57, 58, 56, 21

a)

45.2

b)

56

c)

none

d)

48

57.

Find the mode:
5, 0, 9, 9, 3, 0, 5, 5, 4

a)

9

b)

5

c)

3

d)

7

58.

Find the median:
3, 5, 7, 4, 3, 1

a)

3 and 4

b)

There isn't one

c)

3.5

d)

3

59.

Find the mean:
9, 9, 3, 2, 8, 7, 4

a)

49

b)

6

c)

9

d)

7

60.

Find the mode:
4, 5, 4, 3, 5, 1, 6

a)

4

b)

5

c)

4 & 5

d)

3

61.

Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?

a)

$7.50

b)

$26.25

c)

$87.5

d)

$262.50

62.

Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?

a)

$800

b)

$1,000

c)

$1,200

d)

$1,500

63.

How do you find the AREA of a TRIANGLE?

a)

Height x Base divided by 4

b)

Length x Width

c)

1/3 (Length x width)

d)

1/2 (Base x height)

64.

Find the total surface area of the prism.

a)

48 square inches

b)

64 square inches

c)

88 square inches

d)

76 square inches

65.

What is the surface area of this figure?

a)

3000 cm ²

b)

164 cm ²

c)

236 cm ²

d)

328 cm²

66.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

67.

Find the volume of the figure.

a)

63 cm³

b)

91 cm³

c)

819 cm³

d)

409.5 cm³

68.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm²

d)

40 cm³

69.

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

70.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm²

d)

40 cm³

71.

3 - 2a + 3a + 5a

a)

5a+3

b)

5a-3

c)

6a + 3

d)

8a+3

72.

-12n - (-13n)

a)

-25n

b)

25n

c)

n

d)

-n

73.

Simplify the expression:
$6-2\left(7x-3\right)$

a)

-14x

b)

-14x + 12

c)

14x

d)

5x +1

74.

Simplify 5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

75.

Simplify the expression: 7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

76.

Find the unit rate of one diaper if a box of 35 diapers costs $6.99.

a)

$244.65

b)

$1.00

c)

$6.99

d)

$0.20

77.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

78.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

79.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

80.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

81.

You go to the grocery store to buy dog food. The store has three sizes available:

A 20-lb bag for $23.44

An 8-lb bag for $9.88

A 40-lb bag for $49.00

Which size bag has the lowest cost per pound rounded to the nearest cent?

a)

The 8-lb bag

b)

The 20-lb bag

c)

The 40-lb bag

d)

I have a cat

82.

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

a)

$50 per hour

b)

$12 per hour

c)

$192 per hour

d)

$25 per hour

83.

Does the graph represent a proportional relationship?

a)

yes

b)

no

84.

Does the graph represent a proportional relationship?

a)

yes

b)

no

85.

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

86.

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

87.

6(m+3)=2(m+5)

a)

No solution

b)

One Solution

c)

Infinite Solutions

88.

2(m+3)=2m+12

a)

No Solution

b)

One Solution

c)

Infinite Solutions

89.

5y-15=5(y-2)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

90.

6(m+3)=5(m-2)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

7th Grade Math Review

Total questions: 90

Worksheet time: 8hrs 30mins

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