Free Printable 8th Grade Math

1.

Solve:

$3c+5=23$

a)

$c=3$

b)

$c=6$

c)

$c=7$

d)

$c=18$

2.

Solve:

$4x+7=23$

a)

$x=16$

b)

$x=4$

c)

$x=9$

d)

$x=12$

3.

Solve:

6n+4=-26

a)

$n=-6$

b)

$n=-5$

c)

$n=8$

d)

$n=-4$

4.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

5.

Solve:

-6w+1=-11

a)

$w=2$

b)

$w=1.2$

c)

$w=12$

d)

$w=-2$

6.

Solve:

$7+\frac{a}{3}=5$

a)

$a=-2$

b)

$a=-6$

c)

$a=3$

d)

$a=15$

7.

Solve:

$33=4a-7$

a)

$a=-10$

b)

$a=10$

c)

$a=4.5$

d)

$a=-7$

8.

Solve:

$20=2-a$

a)

$a=18$

b)

$a=-18$

c)

$a=-10$

d)

$a=12$

9.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

10.

Solve for k:

\frac{k}{6}-8=0

a)

$k=-48$

b)

$k=2$

c)

$k=48$

d)

$k=-14$

11.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

12.

-4(-4d - 5)

a)

-16d+20

b)

16+20

c)

16d+20

d)

16s-20

13.

-8(6x + 3)

a)

48X+3

b)

-48X-3

c)

14x+3

d)

-48x-24

14.

-(3v - 8) (remember it is like a -1)

a)

-3v-8

b)

3v-8

c)

-3v+8

d)

6v+8

15.

Distribute:
-3(a + b - c)

a)

-3a + 3b - 3c

b)

-3a - 3b + 3c

c)

-a - b + c

d)

-3a + 3b + 3c

16.

Distribute:
-5(x - 2)

a)

-5x - 10

b)

-5x + 2

c)

-5x + 25

d)

-5x + 10

17.

-(6 - 4p)

a)

6-4p

b)

6+4p

c)

-6+4p

d)

6p-4

18.

Which expression is equivalent to:
3a + 3b

a)

3(a - b)

b)

3(a) + b

c)

3 + ab

d)

3(a + b)

19.

Which expression is equal to -
7a - 28

a)

7(a - 28)

b)

7(a + 4)

c)

7(a - 4)

d)

7(a - 21)

20.

Distribute:
-5(x - 2)

a)

-5x - 10

b)

-5x + 2

c)

-5x + 25

d)

-5x + 10

21.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

22.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

23.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

24.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

25.

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

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

26.

What are like terms?

a)

Terms with different variables

b)

Terms with the same variables

c)

Terms with no variables

27.

Combine like terms:

5x²- 2x + 4 + 3x + 2x² + 8

a)

7x²+ x + 12

b)

7x⁴+ 5x + 12

c)

3x²+ 7x + 10

d)

20x⁶

28.

Simplify by combining like terms:

3y^2-5x+2y-6x+8y^2+9y

a)

$11y^2-11x+11y$

b)

$-2xy^2-4xy+17y^3$

c)

$11y^4-11x^2+11y^2$

d)

$22y^6-11x$

29.

(3x + 2) – (5x + 1)

a)

8x + 3

b)

2x + 1

c)

-2x + 1

d)

-2x + 3

30.

9(p + 4) - 3p - 8 = 28

a)

p = 0

b)

p = 1

c)

p = 2

d)

none of the above

31.

Simplify the following expression:

-6x + 4(x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

32.

3(y + 5) - 2y

a)

5y + 5

b)

6y

c)

5y + 15

d)

y + 15

33.

5a + 2b - 7b + 4a

a)

7b - 3a

b)

9a - 5b

c)

4ab

d)

12a + 6b

34.

3(2x + 4) + 4(x - 5)

a)

10x + 32

b)

10x - 8

c)

9x - 8

d)

10x - 1

35.

Simplify:
3x - (x - 6) - 12

a)

2x - 6

b)

4x - 18

c)

2x + 6

d)

4x - 6

36.

Simplify
-2x - 4(4x - 8)

a)

-16x - 2

b)

-18x + 32

c)

18x - 32

d)

-16x + 2

37.

Simplify the following expression:
x + 4 - 7(x - 5)

a)

-33x + 19

b)

-47x² + 21

c)

33x - 19

d)

-6x + 39

38.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = -5

d)

x = 84

39.

Solve the equation:
x - 4 = -3

a)

x = -7

b)

x = 1

c)

x = 12

d)

x = -12

40.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

41.

Solve the equation:
x/-3 = -4

a)

x = 12

b)

x = 1

c)

x = -1

d)

x = -12

42.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

43.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

44.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

45.

$\frac{x}{5}=20$

a)

100

b)

120

c)

4

d)

5

46.

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

47.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

48.

What number is missing?

a)

12

b)

3

c)

11

d)

13

49.

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

50.

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

51.

Ben plays basketball every 6 times in a 3 weeks. At this rate, how many times does he play basketball in 10 weeks?

a)

20

b)

30

c)

45

d)

50

52.

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.

a)

c=15

b)

c=18

c)

c=21

d)

c=16

53.

The car travels 440 miles in 8 hours. What is the unit rate?

a)

12 miles in 1 hour

b)

55 miles in 1 hour

c)

110 miles in 1 hour

d)

44 miles in 1 hour

54.

A store had 2 blue chairs for $22.78 or 6 red chairs for $67.80. Which color chair has the lower unit price?

a)

2 blue chairs for $22.78

b)

6 red chairs for $67.80

55.

At a candy store you get 7 lollipops for $16.10. How much would it cost to buy 6 lollipops?

(a)

56.

A store sold 4 packs of paper for $7.44. How much would it cost if you bought 5 packs?

a)

$5.95

b)

$1.49

c)

$1.86

d)

$9.30

57.

Determine whether the given value of the variable is a solution.
x + 6 = 14, when x = 8

a)

yes

b)

no

58.

Determine whether the given value of the variable is a solution.
s ÷ 4 = 5, when s = 24

a)

yes

b)

no

59.

Determine whether the given value of the variable is a solution.
g - 3 = 7, when g = 11

a)

yes

b)

no

60.

Determine whether the given value of the variable is a solution.
3a = 18, when a = 6

a)

yes

b)

no

61.

Determine whether the given value of the variable is a solution.
26 = y - 9, when y = 35

a)

yes

b)

no

62.

Determine whether the given value of the variable is a solution.
b ⋅ 5 = 20, when b = 3

a)

yes

b)

no

63.

Determine whether the given value of the variable is a solution.
11 = p + 6, when p = 5

a)

yes

b)

no

64.

Determine whether the given value of the variable is a solution.
x + 1 = 5 for x = 4

a)

yes

b)

no

65.

Solve the equation:

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

66.

Solve the equations:

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

67.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

68.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

69.

Solve the equation:
4 - 6x - 2= -2(3x-1)

a)

no solution

b)

infinitely many solutions

c)

x = ⅓

d)

x = 4

70.

Solve the equation:

3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

71.

Solve the equation:

2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

72.

^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

73.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

74.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

75.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

76.

Evaluate m² + 12q if m = 5 and q = -3

a)

10

b)

-25

c)

-11

d)

13

77.

Evaluate -2x + -3y if x = 10 and y = -6

a)

18

b)

-38

c)

12

d)

-2

78.

Evaluate the following expression:
t²- t + 1 when t = 5

a)

25

b)

22

c)

23

d)

21

79.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

80.

Evaluate expression x=7, y=15, z=8

xz - 2y + 8

a)

30

b)

1553

c)

34

d)

15

81.

Which graph represents the table?

a)

b)

c)

d)

82.

Which graph represents the table?

a)

b)

c)

d)

83.

Find the missing OUTPUT value.

(a)

84.

Find the 2 missing OUTPUT values.

a)

-8 & -12

b)

8 & 12

c)

-8 & 12

d)

8 & -12

85.

Find the missing y value.

(a)

86.

Find the missing y values.

a)

6 & 12

b)

4 & 12

c)

4 & 2

d)

6 & 2

87.

Which table is correct for y=4x+3?

a)

b)

c)

88.

Which graph represents the table?

a)

b)

c)

d)

89.

Which graph shows the correct line for the table?

a)

b)

c)

8th Grade Math - Unit 3 Review

Total questions: 89

Worksheet time: 6hrs 58mins

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