Free Printable 7th grade study guide

1.

-6k + 7k=

a)

k

b)

-k

c)

12k

d)

-12k

2.

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

3.

Evaluate the expression when m = 5

m² + 4

a)

9

b)

14

c)

21

d)

29

4.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

5.

2t -7 = 3

Find the value of t

a)

-2

b)

2

c)

5

d)

20

6.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

7.

7k - 14 = 42

a)

7

b)

-8

c)

0

d)

8

8.

13= 5m -2

a)

-3

b)

2

c)

3

d)

-2

9.

Which inequality if represented by the graph?

a)

x < 2

b)

x ≤ 2

c)

x > 2

d)

x ≥ 2

10.

Select the value that makes the following inequality TRUE.

x - 8 ≤ 20

a)

30

b)

28

c)

32

d)

50

11.

Select the value that makes the following inequality FALSE.

x + 5 ≥ 27

a)

25

b)

22

c)

21

d)

26

12.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

13.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

14.

Simplify the following expression:
-9(14p - 8) - 4p

a)

130p - 72

b)

122p - 72

c)

-130p - 18

d)

-130p + 72

15.

Identify the equivalent ratios below. Select all that apply.
A. $\frac{3}{6}\ and\ \frac{9}{36}$ B. $\frac{8}{12}\ and\ \frac{12}{18}$

C. $\frac{10}{5}\ and\ \frac{30}{15}$

a)

A

b)

B

c)

C

d)

None of ratios are equivalent.

16.

Complete the table of equivalent ratios.
$\frac{3\ \ \left|\ \ n\ \ \ \right|\ \ 9\ \ \ \left|\ \ 12\ \ \right|\ \ 15\ \ \left|\right|}{2\ \ \left|\ \ 4\ \ \ \right|\ \ 6\ \ \left|\ \ \ 8\ \ \ \right|\ \ 10\ \ \left|\right|}$

a)

4

b)

5

c)

6

d)

8

17.

Gabby spent $44.10 for 14 gallons of gas. What was the unit cost, or price per gallon?

a)

$0.31

b)

$3.15

c)

$4.50

d)

$5.82

18.

Four candy stores are competing with each other. Which store offers the best buy for candy?

a)

Sweet Store: 12 pack for $3.00

b)

Delicious Treats: 22 pack for $4.62

c)

Sugar Factory: 18 pack for $5.40

d)

Chocolate Shop: 36 pack for $7.20

19.

Are the two ratios proportional?

a)

YES

b)

NO

20.

Which line shows a proportional relationship between x and y?

a)

Line L

b)

Line M

21.

Which statement best describes the relationship between x and y in the table?

a)

Proportional

b)

Not Proportional

22.

Which graph is non-proportional?

a)

A

b)

B

c)

C

d)

D

23.

Solve for x

a)

x = 1/10

b)

x = 10

c)

x = 4

d)

x = 5

24.

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

25.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

26.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

27.

Find the area of this triangle.

a)

150 ft²

b)

100 ft²

c)

50 ft²

d)

35 ft²

28.

Area or triangle?

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

29.

What is the volume of this rectangular prism?

a)

26 cubic units

b)

24 cubic units

c)

24 square units

d)

26 square units

30.

The dimensions of this rectangular prism are:

a)

Length: 6 cubes, Width: 3 cubes, Height: 3 cubes

b)

Length: 3 cubes, Width: 3 cubes, Height: 6 cubes

c)

Length: 3 cubes, Width: 3 cubes, Height: 3 cubes

d)

Length: 9 cubes, Width: 3 cubes, Height: 3 cubes

31.

Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.

a)

18

b)

36

c)

72

d)

40

32.

Find the area of the trapezoid.

a)

18 m²

b)

165 m²

c)

84 m²

d)

22.5 m²

33.

Find the volume

a)

20.93

b)

27.56

c)

15.11

d)

62.83

34.

Classify the triangle shown in the picture by its sides.

a)

Isosceles

b)

Obtuse

c)

Equilateral

d)

Scalene

35.

Complementary angles are angles that together equal

a)

180 degrees

b)

90 degrees

c)

45 degrees

d)

100 degrees

36.

Ben ran 16 miles on Friday to prepare for a marathon. On Saturday he ran 25% of his run on Friday. How far did he run on Saturday? Hint: Use your Benchmark Percent Notes

a)

5 Miles

b)

8 Miles

c)

4 Miles

d)

3 Miles

37.

What is 30% of 150?

a)

30

b)

15

c)

60

d)

45

38.

What is 20% of 75?

a)

25

b)

15

c)

30

d)

45

39.

What is 10% of 200?

a)

20

b)

40

c)

100

d)

50

40.

If 50% of the student in the band are 7th graders, and there are 40 7th graders, how many students are in the band total? Hint: In the WHOLE band?

a)

50

b)

40

c)

80

d)

100

41.

If my radius is 2 yd what is the circumference?

a)

4 yd

b)

1 yd

c)

12.56 yd

d)

6.28 yd

42.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

43.

Find the supplementary angle for 69 degrees...

a)

111 degrees

b)

116 degrees

c)

118 degrees

44.

Find the supplementary angle for 104 degrees...

a)

70 degrees

b)

74 degrees

c)

76 degrees

45.

Determine the mean for the set of data.

23, 30, 26, 25, 21

a)

21

b)

25

c)

26

d)

30

46.

Determine the median and mode for the set of data.

40, 28, 24, 37, 43, 26, 30, 36

a)

median: 33, mode: 26

b)

median: 33, mode: none

c)

median: 40, mode: 33

d)

median: 40, mode: none

47.

What data value is the upper quartile (Q3)?

a)

64

b)

62

c)

66

d)

58

48.

What is the median?

a)

62

b)

58

c)

66

d)

60

49.

A store sees 120 customers in 8 hours. How many customers will there be in an hour?

a)

Only find unit rate

b)

Finding AND use the unit rate

50.

If Justin can type 408 words in 4 minutes, how many words can he type in 7 minutes?

a)

Only find unit rate

b)

Finding AND use the unit rate

51.

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

a)

Only find unit rate

b)

Finding AND use the unit rate

52.

A jet travels 530 miles in two hours. At this rate, how far can the jet travel in 11 hours?

a)

Only find unit rate

b)

Finding AND use the unit rate

53.

Will spent $3.75 for 3 pounds of granola. What is the price of one pound of granola?

a)

Only find unit rate

b)

Finding AND use the unit rate

54.

A store sees 120 customers in 8 hours. How many customers would you expect in 5 hours?

a)

Only find unit rate

b)

Finding AND use the unit rate

55.

What is the slope?

a)

1/2

b)

2

c)

7

d)

3

56.

What is the slope?

a)

2/5

b)

5/2

c)

3

d)

5.5

57.

Put the equation in Slope Intercept Form: x + y = -4

(a)

58.

Write the equation for the line in slope-intercept form.

(a)

59.

Find the function rule for the function table.

a)

2/n

b)

n + 2

c)

2n

d)

n - 2

60.

Find the function rule for the function table.

a)

2/n

b)

n + 2

c)

2n

d)

n - 2

61.

f(x)=4x+5
f(4)=

a)

21

b)

-11

c)

-31

d)

25

62.

If f(x) = 2x² + 5x - 3, evaluate f(-1).

a)

f(-1) = -6

b)

f(-1) = 1

c)

f(-1) = -10

d)

f(-1) = -1

63.

What is the base in $5^6$ ?

a)

6

b)

5

c)

30

d)

0

64.

Represent using an exponent.

7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

a)

7⁷

b)

7⁸

c)

8⁷

d)

7⁹

65.

How could 8⁶ be represented?

Check all possible answers.

a)

8 x 6

b)

8 x 8 x 8 x 8 x 8 x 8

c)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

d)

262,144

66.

9⁷ - 43³

a)

4,703,462

b)

66

c)

543

d)

3,214,467

7th grade study guide

Total questions: 66

Worksheet time: 7hrs 40mins

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