Free Printable 7th Grade MATH REVIEW

1.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

2.

Find the unit rate of 624 calories in 3 servings.

a)

1,872 calories per serving

b)

208 calories per serving

c)

624 calories per serving

d)

621 calories per serving

3.

What is the constant of proportionality for this table?

a)

1/9

b)

9

c)

8

4.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

5.

Write an equation for this relationship.

a)

y=18x

b)

y=18.50x

c)

y=22.50x

d)

y=22x

6.

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours. What is the constant of proportionality?

a)

$37

b)

$64.75

c)

$9.25

d)

$18.50

7.

If Reynaldo saves $48 in 8 days, how much could he save in two weeks?

a)

$102

b)

$84

c)

$56

d)

$6

8.

If Justin ordered 5 ice cream bars for $12.25, how much was each ice cream bar?

a)

$2.45

b)

$4.00

c)

$7.25

d)

$1.25

9.

In order for a graph to represent a direct variation the line must be straight and go through the _________.

a)

y-axis

b)

origin

c)

x-axis

d)

1st quadrant

10.

Which graph is proportional?

a)

A

b)

B

c)

None of the graphs

d)

All of the graphs are proportional

11.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=14x

b)

y=7x

c)

y=2x

d)

y=6x

12.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=6x

b)

y=54x

c)

y=9x

d)

y=5x

13.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=16x

b)

y=2x

c)

y=8x

d)

y=4x

14.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=7x

b)

y=72x

c)

y=9x

d)

y=8x

15.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=8x

b)

y=9x

c)

y=7x

d)

y=56x

16.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=3x

b)

y=9x

c)

y=1x

d)

y=6x

17.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=4x

b)

y=9x

c)

y=8x

d)

y=1x

18.

Identify the constant of proportionality. Write your answer as y=kx

a)

y=3x

b)

y=7x

c)

y=5x

d)

y=14x

19.

-2 + 4

a)

-2

b)

2

c)

0

d)

-4

20.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

21.

-9 + (-5)

a)

-14

b)

14

c)

-4

22.

Bob lost 5 points on page one of his math test and he lost 9 points on page two of his math test. Which equation best describes Bob progress on his math test?

a)

5 + 9 = 14

b)

-5 + -9 = -4

c)

-5 + -9 = -14

d)

5 + -9 = -4

23.

-2 + 9

a)

-11

b)

-7

c)

7

d)

11

24.

-8 + 3

a)

-11

b)

-5

c)

5

d)

11

25.

-1 + 8

a)

-9

b)

-7

c)

7

d)

9

26.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

27.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

28.

6 - 9 = ?

a)

-3

b)

3

c)

15

d)

-13

29.

-7 - (-2) = ?

a)

9

b)

-9

c)

-5

d)

5

30.

The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly 24 degrees due to a strong cold front moving in. What is the current temperature?

a)

14

b)

34

c)

-14

d)

-34

31.

-24 ÷ -6 =

a)

-4

b)

4

c)

-18

d)

-3

32.

- 8 ÷ 1 =

a)

-1

b)

8

c)

-8

d)

7

33.

(5) ( -3) =

a)

8

b)

15

c)

-15

d)

2

34.

(-8) (-8) =

a)

-64

b)

16

c)

-16

d)

64

35.

12 ÷ -6 =

a)

2

b)

6

c)

-2

d)

-6

36.

(-17) (0) =

a)

-17

b)

17

c)

0

d)

-0

37.

- 20 ÷ 5 =

a)

4

b)

-5

c)

-15

d)

-4

38.

(7) ( -4) =

a)

28

b)

-28

c)

11

d)

-11

39.

12 ÷ 4 =

a)

16

b)

3

c)

-3

d)

4

40.

(-1) (3) =

a)

-3

b)

3

c)

2

d)

-4

41.

-10 ÷ 2 =

a)

-5

b)

12

c)

-8

d)

5

42.

-4 ÷ -2 =

a)

-6

b)

8

c)

2

d)

-2

43.

(-6) ( 4) =

a)

24

b)

10

c)

-10

d)

-24

44.

( -5 ) ( 9 ) =

a)

4

b)

45

c)

-45

d)

-14

45.

27÷ -3 =

a)

24

b)

9

c)

-9

d)

30

46.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

47.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

48.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

49.

Solve 8 - 2x = 30

a)

-11

b)

11

c)

-12

d)

12

50.

Solve 12 - 6y = 24

a)

-1

b)

-2

c)

-3

d)

-4

51.

What is the first step to complete when solving this equation?

10 - 3x = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

52.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

d)

x - 15 = 10

53.

What is the first step to solve this equation:

-3x + 11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

54.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

55.

to solve 6m = 12

a)

Multiply both sides by 6

b)

Divide both sides by 6

c)

Add 6 to both sides

d)

Subtract 6 from both sides

56.

Simplify $8\left(2x-3\right)$

a)

$16x-3$

b)

$2x-24$

c)

$16x-24$

d)

$10x-3$

57.

Which expression is equivalent to $6x+24$ ?

a)

$6\left(x+24\right)$

b)

$6\left(x\right)+6\left(4\right)$

c)

$x\left(6+24\right)$

d)

$30x$

58.

Choose ALL expressions equivalent to $4\left(-2x+3\right)$

a)

$-8x+3$

b)

$-2x+12$

c)

$-8x+12$

d)

$-2\left(-6+4x\right)$

e)

$-12+8x$

59.

To trade a number for a letter in an expression to get a value.

a)

Solve

b)

Substitute

c)

Simplify

d)

Distribution

60.

Two numbers that, when added, have a sum of zero.

a)

Reciprocals

b)

Integers

c)

Opposites

d)

Negatives

61.

Two numbers that multiply to make a product of ONE.

a)

Opposites

b)

Absolute Value

c)

Square Roots

d)

Reciprocals

62.

Multiply the factor outside parentheses by every factor inside the parentheses.

a)

Factor

b)

Distribute

c)

Simplify

d)

Solve

63.

Which expression IS NOT equivalent to $8x-24$ ?

a)

$4\left(2x-24\right)$

b)

$2x+6\left(x-4\right)$

c)

$8\left(x-3\right)$

d)

$-4\left(-2x\right)-4\left(6\right)$

64.

Which option is an example of LIKE TERMS?

a)

$3\ \ and\ \ 3x$

b)

$-4x\ \ and\ \ x^2$

c)

$5x\ \ and\ \ -14x$

d)

$7x\ \ and\ \ 7x^2$

65.

Combine like terms, simplify, and choose the equivalent expression below for $5x-3+2\left(x-3\right)-2x+4\left(5\right)$

a)

$-24$

b)

$9x+29$

c)

$5x+11$

d)

$5x+14$

66.

What is the solution of the equation?
8 = x + 1

a)

9

b)

7

c)

6

d)

8

7th Grade MATH REVIEW

Total questions: 66

Worksheet time: 1hrs 22mins

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