Free Printable Unit 4 Equations

1.

Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

2.

y - 4.6 = 12

a)

16.6

b)

5.8

c)

7.4

d)

Answer not Given

3.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

4.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

5.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

6.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

7.

a symbol for an unknown value; usually a letter (such as a, x, or y) is the symbol used

a)

constant

b)

variable

c)

coefficient

d)

term

8.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

9.

Solve for b
2b = -16

a)

8

b)

4

c)

-8

d)

3

10.

Solve:

a)

96

b)

-96

c)

4

d)

-4

11.

Solve:

a)

-12

b)

-8

c)

12

d)

8

12.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

13.

24 ≤ h + 15

a)

h ≥ -9

b)

h ≥ 9

c)

h ≤ 9

d)

h ≤ 39

14.

Solve

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

15.

Solve

a)

a≤1

b)

a≤25

c)

a>1

d)

a<25

16.

Solve the inequality
12 ≥ 6w

a)

w > 2

b)

w < 2

c)

w ≥ 2

d)

w ≤ 2

17.

Solve for x.

a)

b)

c)

d)

18.

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

19.

a)

m>7

b)

m≤5

c)

5>m

d)

m>5

20.

a)

x<4

b)

x≤1

c)

x≤4

d)

x≥1

21.

Solve and graph the solution:

-11x > 99

a)

b)

c)

d)

22.

Solve and graph the solution:

45p > 315

a)

b)

c)

d)

23.

Solve and graph the solution:

45p > 315

a)

b)

c)

d)

24.

Solve and graph the solution.

a)

b)

c)

d)

25.

Which inequality is represented by the following graph

a)

x < -8

b)

x > -8

c)

x ≥ -8

d)

x ≤ -8

26.

Write the word sentence as an inequality
a number b is at least -16

a)

b ≥ -16

b)

b ≤ -16

c)

b = -16

d)

b > -16

27.

Translate the following sentence into an inequality
four more than a number is less than 17

a)

x + 4 > 17

b)

x + 4 ≤ 17

c)

x + 4 < 17

d)

x < 17 + 4

28.

$7n=42$

Solve.

a)

n=294

b)

n=35

c)

n=7

d)

n=6

29.

$\frac{v}{3}\ =\ 4$

a)

v = 4

b)

v = 12

c)

v = 43

d)

v = 34

30.

$\ 3y=36$

a)

y =12

b)

y = 108

c)

y = 336

d)

y = 6

31.

Choose the equivalent expression.

15 + 4(5y + 10)

a)

5y + 25

b)

20y - 25

c)

20y + 40

d)

20y + 55

32.

Which expression is equivalent to 6(3y - 2y + 7)?

a)

18y + 7

b)

21y - 14y + 7

c)

18y + 42

d)

6y + 42

33.

(6x + 3y + 4) – (x + y – 5)

a)

5x + 2y + 9

b)

7x + 2y + 9

c)

7x + 4y + 9

d)

5x + 2y -1

34.

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.

35.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

36.

-3x + 5 = -13

a)

x = -5

b)

x = 2

c)

x = -6

d)

x = 6

37.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

38.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

39.

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

40.

Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven dollar games could he buy with the money he had left?

a)

21 games

b)

3 games

c)

7 games

d)

99 games

41.

Write the inequality for the following graph:

a)

x ≥ 4

b)

x ≤ 4

c)

x > 4

d)

x < 4

42.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

43.

Solve the inequality: -3x + 4 > -2

a)

x < -1

b)

x > -1

c)

x < 2

d)

x > 2

44.

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

a)

200+25w ≥ 500

b)

500-25w ≥ 200

c)

500+25w ≤ 200

d)

200-25w ≤ 500

45.

Which expression is equivalent to

v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

46.

x-3=10

a)

x=7

b)

x=10.3

c)

x=5

d)

x=13

47.

6x + 12 = 36

which is the constant

a)

6

b)

6x

c)

12

d)

36

48.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

49.

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

a)

y=-1

b)

y=-8

c)

y=1

d)

y=7

50.

-2x-7+3x=10

a)

x=-2

b)

x=3

c)

x=10

d)

x=17

51.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

52.

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

a)

1

b)

-1

c)

no solution

d)

all real numbers

53.

2x + 3 = 2x + 7

a)

0

b)

4

c)

no Solution

d)

All real numbers

54.

2x + 3 = 2x + 3

a)

0

b)

1

c)

no solution

d)

all real numbers

55.

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

a)

4

b)

$-5$

c)

$-3$

d)

5

56.

$x+2+6=8$

a)

0

b)

14

c)

8

d)

4

57.

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

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

58.

4x-3=17

a)

x=5

b)

x=20

c)

x=21

d)

x=4

59.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

60.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

61.

6 ( 2n + 5 ) = 66

a)

3

b)

5.08

c)

8

d)

432

62.

5h - 6 - h + 10 = 12

a)

h= 12

b)

h= 2

c)

h= 0

d)

h= 5

63.

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

64.

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

a)

x = 1/4

b)

x = 4

c)

x = 5

65.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

66.

Solve for x.

a)

55

b)

60

c)

15

d)

35

67.

6 ( 2n + 5 ) = 66

a)

3

b)

5.08

c)

8

d)

432

68.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

69.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

70.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

71.

X+X+X+X+X

a)

X + 5

b)

5X

c)

X+X+X+X+X+5

d)

X to the 5th power

72.

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

73.

y + x + y + y + x

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

74.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

75.

2(4X-7)

a)

8x-14

b)

8x-7

c)

6x+7

d)

8x+14

76.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

77.

Which one is the variable?
3w + 2w - (-7w)

a)

3

b)

2

c)

w

d)

12

78.

4) Solve this equation

a - 2.1 = 5.8

a)

a = 7.9

b)

a = 3.7

c)

a = 5.8

d)

None of these match my answer

79.

2) Please solve this equation

^p/₅ = 7

a)

p = 35

b)

p = 12

c)

p = 2

d)

None of these match my answer

80.

10) Please solve this equation

m - 14 = 32

a)

m = 18

b)

m = 2 ¹/₈

c)

m = 424

d)

None of these match my answer

81.

13) Please solve this equation

23 = x + 7

a)

x = 16

b)

x = 30

c)

x = 161

d)

None of these match my answer

82.

14) Please solve this equation

1.2x = 9.6

a)

x = 8

b)

x = 10.8

c)

x = 8.4

d)

None of these match my answer

83.

2) Solve this equation

t - 7 = 2

a)

t = 9

b)

t = 7

c)

t = 5

d)

None of these match my answer

84.

7) Please solve this equation

7x = 84

a)

x = 77

b)

x = 91

c)

x = 588

d)

None of these match my answer

85.

6) Please solve this equation

m - 3 = 4

a)

m = 7

b)

m = 1

c)

m = 13

d)

None of these match my answer

86.

3) Please solve this equation

x - 12 = 13

a)

x = 25

b)

x = 1

c)

x = 156

d)

None of these match my answer

87.

$-6w+1=-11$

a)

2

b)

1.2

c)

12

d)

-2

88.

$3c+5=23$

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

89.

$2d+7=9$

a)

1

b)

7

c)

4

d)

3

90.

What is the solution to: $5x+3=33$

a)

$x=-6$

b)

$x=\frac{36}{5}$

c)

$x=30$

d)

$x=6$

91.

Identify the steps to solve for b

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

92.

$\frac{x}{4}+8=10$

a)

$x=-4$

b)

$x=-8$

c)

$x=8$

d)

$x=16$

93.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

94.

$9x-7=-7$

a)

$\frac{9}{7}$

b)

1

c)

0

d)

$\frac{-14}{9}$

95.

The inverse operation of addition is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

96.

The inverse operation of subtraction is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

97.

The inverse operation of multiplication is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

98.

The inverse operation of division is ??????????

a)

addition

b)

subtraction

c)

multiplication

d)

division

99.

$16=\frac{k}{11}$

The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

a)

Divide both sides by 11

b)

Multiply both sides by 11

c)

Add 11 to both sides

d)

Subtract 11 to both sides

100.

Solve for x in the following equation:

20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

101.

Solve for y in the following equation:

$\frac{y}{3\ }=12$

a)

36

b)

-36

c)

4

d)

-4

102.

Solve for z in the following equation:

z - 33 = 147

a)

z = 114

b)

z = 177

c)

z = 180

d)

no solution

103.

SOLVE 10=z+6

(a)

104.

8y = 48

(a)

105.

q - 12 = 1

(a)

106.

$18\equiv\frac{a}{2}$

(a)

107.

Solve the equation

x + 3 = 5

a)

2

b)

-2

c)

8

d)

-8

108.

m - 4 = 10

a)

-6

b)

6

c)

-14

d)

14

109.

$\frac{t}{-8}=\ -5$

a)

t = 3

b)

t = -40

c)

t = -3

d)

t = 40

110.

-6x = 30

a)

x = - 5

b)

x = 24

c)

x = 5

d)

x = 36

111.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

112.

5 = f - 2

a)

4

b)

7

c)

-3

d)

2

113.

6 x = -30
x=

a)

2

b)

7

c)

-5

d)

5

114.

3 = $\frac{c}{-11}$

a)

33

b)

14

c)

-33

d)

-14

115.

Solve the equation:
$-8x=-32$

a)

4

b)

40

c)

6

d)

5

116.

Solve the equation:
$-8x=-32$

a)

4

b)

40

c)

6

d)

5

117.

Solve for x.

x - 8 = -5

a)

x = 13

b)

x = -13

c)

x = 3

d)

x = -3

118.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = 4

d)

x = 84

119.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

120.

What would be the best first step to solving the equation?
-3=x+5

a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

121.

What would be the best first step to solving the equation?
-18=m+12

a)

add 18 to both sides

b)

subtract 18 from both sides

c)

add 12 to both sides

d)

subtract 12 from both sides

122.

What would be the best first step to solving the equation?

a)

subtract ¹/₁₀ from both sides

b)

subtract -³/₅ from both sides

c)

add ¹/₁₀ to both sides

d)

add ³/₅ to both sides

123.

What would be the best first step to solving the equation?
f+6=-6

a)

multiply both sides by 6

b)

divide both sides by 6

c)

add 6 to both sides

d)

subtract 6 from both sides

124.

Solve the equation:
x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = -5

d)

x = 84

125.

Solve the equation:
x - 4 = -3

a)

x = -7

b)

x = 1

c)

x = 12

d)

x = -12

126.

Solve the equation:
x - 3 = -12

a)

x = 9

b)

x = -15

c)

x = -9

d)

x = 15

127.

Solve the equation:
x - 4 = 6

a)

x = 10

b)

x = -10

c)

x = 2

d)

x = -2

128.

When you graph an inequality, you use a CLOSED dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

129.

When graphing an inequality, you use an OPEN dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

130.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

131.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

132.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

133.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

134.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

135.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

136.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

137.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

138.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

139.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

140.

-3 ≥ x - 1

a)

2 ≥ x

b)

4 ≥ x

c)

-4 ≥ x

d)

-2 ≥ x

141.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

142.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

143.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

144.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

145.

24 ≤ h + 15

a)

h ≥ -9

b)

h ≥ 9

c)

h ≤ 9

d)

h ≤ 39

146.

y - 13 ≤ -15

a)

y ≤ 2

b)

y ≤ -2

c)

y ≤ 28

d)

y ≤ -28

147.

14 - 3x + 8 + x

a)

4x+22

b)

2x+6

c)

-2x+22

d)

4x - 6

148.

2.5x + 4.3x - 5

a)

6.8x - 5

b)

11.8x

c)

1.8x -5

d)

-2.5x +4.3

149.

7 + 4p - 5 + p +2q

a)

7p + 2

b)

7p + 12

c)

5p + 2q + 2

d)

2 + 5p + 2q

150.

t + 8 + 3t

a)

12t

b)

4t + 8

c)

2t + 8

d)

8 + 4t

151.

2n - n - 4 + 7n

a)

8n - 4

b)

9n + 4

c)

13n

d)

-4 + 9n

152.

12g + 9g

a)

22g

b)

21g

c)

12g + 9g

d)

20g

153.

11x - 9 - 7

a)

11x + 2

b)

11x - 2

c)

11x -16

d)

27x

154.

8s - 11s +6s

a)

3s

b)

25s

c)

14s - 11s

d)

I don't know

155.

4b - 24 + 19

a)

4b + 43

b)

4b - 5

c)

47b

d)

4b + 5

156.

4p - 5p - 30p

a)

25p

b)

31p

c)

-31p

d)

30p

157.

(n + 8)+(n - 12)

a)

2n +20

b)

2n - 20

c)

2n - 4

d)

22n

158.

Choose the equivalent expression.

15 + 4(5y + 10)

a)

5y + 25

b)

20y - 25

c)

20y + 40

d)

20y + 55

159.

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.

160.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

161.

-3x + 5 = -13

a)

x = -5

b)

x = 2

c)

x = -6

d)

x = 6

162.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

163.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

164.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

165.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

166.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

167.

Solve 2x - 3 = 1

a)

x=3

b)

x=2

c)

x=1

d)

x=-2

168.

Solve -5t + 9 = 24

a)

t=-3

b)

t=3

c)

t=-5

d)

t=12

169.

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

170.

4x + 7 = 23

a)

x=4

b)

x=16

c)

x=12

d)

x=9

Unit 4 Equations

Total questions: 170

Worksheet time: 7hrs 42mins

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