Free Printable 8th - Solving Equations

1.

x - 2 = 2x + 1

a)

x = 3

b)

x = 6

c)

x = -3

d)

x = 5

2.

3x - 4 = x + 10

a)

x = 7

b)

x = -7

c)

x = 0

d)

x = 4

3.

x + 7 = 2x + 2

a)

x = -4

b)

x = -5

c)

x = 3

d)

x = 5

4.

5x + 1 = x + 1

a)

x = 2

b)

x = 10

c)

x= 0

d)

x = 3

5.

x + 7 = 3x + 3

a)

x = 2

b)

x = 12

c)

x = 7

d)

x = 0

6.

–2x – 11 = x + 16

a)

x = 9

b)

x = 10

c)

x = -9

d)

x = 3

7.

x + 5 = 4x + 2

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

8.

x + 5 = 4x + 2

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

9.

x – 19 = 5x + 9

a)

x = 4

b)

x = 2

c)

x = -7

d)

x = 7

10.

What is the first step in getting "x" by itself?
3x - 7 = 28

a)

subtract 7

b)

add 7

c)

multiply by 3

d)

divide by 3

11.

x-14=3

a)

18

b)

17

c)

9

d)

16

12.

2X+5x+11=53

a)

x=6

b)

x=5

c)

x=-6

d)

x=64/7

13.

x-4=6

a)

x=10

b)

x=12

c)

x=-10

d)

x=7

14.

12=x+3

a)

x=10

b)

x=6

c)

x=12

d)

x=9

15.

x-7=20

a)

x=13

b)

x=12

c)

x=27

d)

x=14

16.

25+x=23

a)

x=2

b)

x=-2

c)

x=3

d)

x=-20

17.

12+ x= 4

a)

x=-2

b)

x=-8

c)

x=8

d)

x=16

18.

46+x=23

a)

x=-23

b)

x=23

c)

x=86

d)

x=-14

19.

2+x=-4

a)

x=2

b)

x=6

c)

x=-6

d)

x=-16

20.

12-x=-14

a)

x=14

b)

x=-14

c)

x=-26

d)

x=26

21.

2x=4

a)

x=2

b)

x=-2

c)

x=3

d)

x=4

22.

3x=-27

a)

x=-9

b)

x=8

c)

x=7

d)

x=12

23.

4x=24

a)

x=5

b)

x=7

c)

x=6

d)

x=9

24.

Combine the like terms: x+x+t+t

a)

2x+2t

b)

3x+2t

c)

3+2t

d)

5t

25.

Combine the like terms: s+s+s+t+s+t+t

a)

4s+4t

b)

3s+4t

c)

4s+3t

d)

7s+4t

26.

Combine the like terms: 2x+3+x-1

a)

3x+4

b)

x+3

c)

3x+2

d)

3x-1

27.

Use the distributive property AND combine like terms:

3(2x+1+4x)

a)

16x+1

b)

18x+3

c)

6x+3

d)

24x+4

28.

What is the first step in getting "x" by itself?
3x - 7 = 28

a)

subtract 7

b)

add 7

c)

multiply by 3

d)

divide by 3

29.

x-14=3

a)

18

b)

17

c)

9

d)

16

30.

2X+5x+11=53

a)

x=6

b)

x=5

c)

x=-6

d)

x=64/7

31.

Which expression represents “6 more than x”?

a)

x - 6

b)

6x

c)

x + 6

d)

6 - x

32.

2x+8 = 22

a)

14

b)

16

c)

8

d)

7

33.

6x - 12 = 18

a)

-5

b)

5

c)

6

d)

9

34.

Solve for x

x + 50 = 100

a)

150

b)

-50

c)

50

d)

100

35.

Solve for x

x - 30 = 60

a)

90

b)

30

c)

-90

d)

60

36.

Solve for x

x + 160 + 20 = 200

a)

200

b)

40

c)

20

d)

0

37.

Solve for x

x + 30 + 45 = 120

a)

75

b)

45

c)

195

d)

150

38.

Solve for x

x = 43 + 21 = 97

a)

161

b)

33

c)

119

d)

35

39.

Solve for x

x - 20 -10 + 30 = 40

a)

40

b)

80

c)

70

d)

100

40.

Solve for x

x + 23 + 37 = 20 + 40

a)

120

b)

0

c)

97

d)

100

41.

Solve for x

x + 10 + 47 = 100

a)

-43

b)

157

c)

-57

d)

43

42.

a)

9

b)

8

c)

7

d)

10

43.

a)

5

b)

10

c)

-5

d)

6

44.

a)

10

b)

12

c)

8

d)

6

45.

a)

8

b)

7

c)

6

d)

5

46.

a)

8

b)

4

c)

-8

d)

6

47.

a)

5

b)

10

c)

8

d)

2

48.

a)

7

b)

8

c)

9

d)

10

49.

a)

5

b)

8

c)

7

d)

9

50.

a)

5

b)

6

c)

7

d)

8

51.

a)

-9

b)

-8

c)

-7

d)

-6

52.

a)

-13

b)

-12

c)

-11

d)

-10

53.

a)

-8

b)

-7

c)

-6

d)

-5

54.

what do you do with like terms

a)

Combine

b)

capitalize

c)

keep them separate

d)

leave alone

55.

Isolate the variable by adding or

a)

subtracting

b)

being nice to them

c)

being mean to them

d)

stare at it

56.

always check for the

a)

divide sign

b)

negative sign

c)

road sign

d)

green sign

57.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

58.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

59.

$x+2+6=8$

a)

0

b)

14

c)

8

d)

4

60.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

61.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

62.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

63.

$-\left(3v+1\right)+7\left(6v+6\right)=-37$

a)

$4$

b)

$0$

c)

$2$

d)

$-2$

64.

$-3x-6x=6+x-7x$

a)

$-3$

b)

$12$

c)

$11$

d)

$-2$

65.

$-11-5b=-6b-3$

a)

$13$

b)

$8$

c)

$-11$

d)

$1$

66.

$5n+3=15+8n$

a)

$-3$

b)

$15$

c)

$-4$

d)

$8$

67.

$-3\left(n+8\right)-4=-40-n$

a)

$11$

b)

$6$

c)

$2$

d)

$1$

68.

$2x-16=2\left(1+4x\right)$

a)

$7$

b)

$-16$

c)

$-2$

d)

$-3$

69.

$5\left(x-1\right)=28-6x$

a)

$3$

b)

$-10$

c)

$7$

d)

$-3$

70.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

71.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

72.

3y+6+4y-7=-8

a)

y=-1

b)

y=-8

c)

y=1

d)

y=7

73.

-2x-7+3x=10

a)

x=-2

b)

x=3

c)

x=10

d)

x=17

74.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

75.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

76.

7(1 - y) = -3(y - 2)

a)

x = 1/4

b)

x = 4

c)

x = 5

77.

6(6v +6) - 5 = 1 + 6v

a)

1

b)

-1

c)

no solution

d)

all real numbers

78.

2x + 3 = 2x + 7

a)

0

b)

4

c)

no Solution

d)

All real numbers

79.

2x + 3 = 2x + 3

a)

0

b)

1

c)

no solution

d)

all real numbers

80.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

81.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

82.

Solve 3x - 7 = 32

a)

13

b)

3

c)

12

d)

7

83.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

84.

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

7x+6=331

b)

13x=331

c)

6x+7=331

d)

331-7=6x

85.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

86.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

87.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

88.

Solve:
7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

89.

Solve: x/2 = -10

a)

20

b)

-20

c)

5

d)

-5

90.

x/12 - 5 = -6

a)

-12

b)

-19

c)

11

d)

15

91.

2d + 7 = 9

a)

1

b)

7

c)

4

d)

3

92.

11 = 3z + 5

a)

2

b)

6

c)

1

d)

4

93.

-6p - 3 = 9

a)

-2

b)

2

c)

6

d)

3

94.

-14 = 4x - 2

a)

-3

b)

3

c)

6

d)

1

95.

21 = 5 - r

a)

-16

b)

16

c)

24

d)

26

96.

8 - 5b = -7

a)

3

b)

-3

c)

4

d)

1

97.

8b + 12 = 52

a)

b = 8

b)

b = -8

c)

b = 5

d)

b = -5

98.

4s - 5 = 39

a)

s = -11

b)

s = 11

c)

s = 15

d)

s = -15

99.

9a - 11 = 61

a)

a = 9

b)

a = -9

c)

a = -8

d)

a = 8

100.

3y+4y+6=20

a)

y=2

b)

y=-2

c)

y=4

d)

y=3

101.

12+5w=15+4w

a)

w=1

b)

w=3

c)

w=5

d)

w=4

102.

0+10x=60-2x

a)

x=60

b)

x=2

c)

x=5

d)

x=10

103.

5h+4=12+h

a)

h=12

b)

h=2

c)

h=0

d)

h=5

104.

9c-3c=48

a)

c=9

b)

c=3

c)

c=4

d)

c=8

105.

3x-18=22-2x

a)

x=8

b)

x=2

c)

x=18

d)

x=3

106.

What is the first step to solve this equation:
11 - 3x = 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.

107.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

108.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

109.

23-9x=-56x-28

a)

-1.09

b)

-1

c)

0

d)

2.9

8th - Solving Equations

Total questions: 109

Worksheet time: 4hrs 9mins

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