Free Printable Equations

1.

Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:

a)

(b) lost 4 cents

b)

(a) broke even

c)

(e) gained 10 cents

d)

(d) lost 10 cents

e)

(c) gained 4 cents

2.

The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:

a)

(a) 587 × 10⁸ miles

b)

(e) 587 × 10^-12 miles

c)

(d) 587 × 10¹² miles

d)

(c) 587 × 10^-10 miles

e)

(b) 587 × 10¹⁰ miles,

3.

A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:

a)

(b) 6.1

b)

(a) 6 %

c)

(c) 6.2 %

d)

(d) 6.3 %

e)

(e) 6.4 %

4.

Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:

a)

(e) a third as much

b)

(d) half as much

c)

(b) twice as much

d)

(c) the same

e)

(a) three times as much

5.

If (0.2)^x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

a)

(a) -10.0

b)

(e) 10.0

c)

(c) -0.4

d)

(d) -0.2

e)

(b) -0.5

6.

The sum of three numbers is 98. The ratio of the first to the second is ²/₃, and the ratio of the second to the third is ⁵/₈. The second number is:

a)

(b) 20

b)

(a) 15

c)

(e) 33

d)

(d) 32

e)

(c) 30

7.

The fraction ^(5x-11)/_{(2x² + x - 6)} was obtained by adding the two fractions ^A/_{(x + 2)} and ^B/_{(2x - 3)}. The values of A and B must be, respectively:

a)

(c) -1, 3

b)

(a) 5x, -11

c)

(d) 3, -1

d)

(e) 5, -11

e)

(b) -11, 5x

8.

The value of x + x(x^x) when x = 2 is:

a)

(a) 10

b)

(b) 16

c)

(c) 18

d)

(d) 36

e)

(e) 64

9.

38 + 7k = 8(k + 4)

a)

6

b)

8

c)

-6

d)

1

10.

w/5 = -10

a)

w = -50

b)

w = 50

c)

w = 2

d)

w = -2

11.

z/-7 = -7

a)

z = 1

b)

z = -1

c)

z = 49

d)

z = -49

12.

m - 25.4 = 105

a)

130.4

b)

79.6

c)

131

d)

80

13.

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

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

14.

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.

15.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

16.

11b+7=40

a)

2

b)

1

c)

4

d)

3

17.

Solve for x:
52 = -5x - 3

a)

x = 11

b)

x = -11

c)

x = 275

d)

x = -275

18.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

19.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

20.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

21.

5=7s-9

a)

2

b)

6

c)

7

d)

8

22.

Solve for x:
-30 - 5x = 120

a)

x = 18

b)

x = -18

c)

x = 30

d)

x = -30

23.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

24.

c/2 = -14

a)

c = -7

b)

c = -7

c)

c = -28

d)

c = 28

25.

24.3 + n = 125.32

a)

101.02

b)

127.76

c)

1.02

d)

102

26.

Which equation has x=9 as a solution

a)

4 + x = 12

b)

5x = 45

c)

2x = 20

d)

x + 7 = 26

27.

Is 5 a solution for 3x + 4 = 19

a)

yes

b)

no

28.

Which equation has x =2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

29.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

30.

-11-5a = 6(5a + 4)

a)

-1

b)

-2

c)

-3

d)

-4

31.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

32.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

33.

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

a)

4

b)

3

c)

2

d)

1

34.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

35.

If 37 less than the product of 15 and a number is 38, which of the below items is true?

a)

The solution is -5.

b)

The solution is 60.

c)

The equation is
37 - 15x = 38

d)

The equation is
15x - 37 = 38

36.

Which equation has a solution of 24?

a)

-48 + 12 + x = -12

b)

-14 + 12 + x = -12

c)

-31x - 41x = -48

d)

-46x + 48x = 12

37.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

38.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

39.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

40.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

41.

5x+4=^-6

a)

2

b)

-2

c)

10

d)

15

42.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

43.

-8x = -96

a)

x = -12

b)

x = 12

c)

x = 13

d)

x = 14

44.

4 + k/2 = -3

a)

14

b)

-14

c)

4

d)

-2

45.

a)

A

b)

B

c)

C

d)

D

46.

a)

A

b)

B

c)

C

d)

D

47.

a)

A

b)

B

c)

C

d)

D

48.

Solve:
2(4x-3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

49.

Solve the equation
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

50.

Three times as many as six is eighteen

a)

3 + 6 = 18

b)

3 x 6 = 18

c)

6 x 3 = 9

d)

18 = 6 x 3

51.

Tanner and Zach both play basketball. In a game, Tanner scored 6 points. Zach scored 4 times as many times as Tanner. How many points did Zach score?

a)

24

b)

28

c)

18

d)

22

52.

Five times as many as seven is thirty-five

a)

5 x 7 = 35

b)

35 = 5 x 7

c)

5 + 7 = 35

d)

35 = 5 + 7

53.

n+2=-14-n

a)

6

b)

8

c)

-8

54.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

55.

-10z = 40

a)

z = 50

b)

z = 30

c)

z = -4

d)

z = 4

56.

18 = -3c

a)

c = 6

b)

c = -6

c)

c = 15

d)

c = -15

57.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

58.

Solve: 4x + 3 = -5

a)

1/2

b)

-1/2

c)

-2

d)

2

59.

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.

60.

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.

61.

What is the second step in solving the following equation?
-3x + 5 = 20

a)

Subtract 5 from both sides

b)

Divide both sides by -3

c)

Divide both sides by 3

d)

add 3x to both sides

62.

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

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

63.

Which equation has x =2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

64.

Mrs. Powers will have a sub next Wednesday. Which of the following are true?

a)

I will earn a "free 5" on my daily quiz because we won't have one on a sub day

b)

If my name gets written down as a "problem" I will earn a teacher's detention

c)

I will be on my best behavior because I know what is expected of me no matter who is here

d)

ALL are true

65.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

66.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

67.

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

a)

4

b)

3

c)

2

d)

1

68.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

69.

Solve.
(x/4) + 10 = 34

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

70.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

71.

6x + 3(-x + 11) = 3

a)

-10

b)

10

c)

15

d)

-15

72.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

73.

-15 = 5a +12- 2a + 6

a)

-11

b)

-3

c)

10

d)

7

74.

3a + 9 + 4a = 2

a)

-1

b)

1

c)

no solution

d)

-7

75.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

76.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

77.

2 + 14a = -8 + 9a

a)

-2

b)

3

c)

5

d)

-10

78.

-a = 9(a - 10)

a)

9

b)

1

c)

90

d)

10

79.

22 + 2a = 37 + 6 + a

a)

21

b)

-21

c)

5

d)

6

80.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

81.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

82.

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

a)

4

b)

3

c)

2

d)

1

83.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

84.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

85.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

86.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

87.

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

a)

4

b)

3

c)

2

d)

1

88.

Solve for x.

a)

55

b)

60

c)

15

d)

35

89.

What is the solution?

a)

x = 4

b)

x = 6

c)

x = 96

d)

x = 144

90.

Solve the equation:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

91.

10 + 2x = 16

a)

2

b)

3

c)

4

92.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

93.

4(x+9)=20

a)

x=-4

b)

x=4

c)

x=14

d)

x=-14

94.

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

a)

x = 1/4

b)

x = 4

c)

x = 5

95.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

96.

6(x + 3) = 48 Distribute
6x + 18 = 48 Subtract 18
6x = 30 Now what????

a)

Divide by 6
x = 5

b)

Subtract by 6
x = 24

97.

4(5 - x) = 8 Distribute
20 - 4x = 8 Subtract 20
Keep going...you've got this?

a)

x = 3

b)

x = - 7

c)

x = 7

d)

x = - 3

98.

7(x + 2) + 3 = 73 Step 1: Distribute
7x + 14 + 3 = 73 Step 2: Combine like terms
7x + 17 = 73 Step 3: Subtract 17
Step 4: Divide by 7

a)

x = -8

b)

x = 8

c)

x = - 12.86

d)

x = 12.86

99.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

100.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

101.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/3

d)

x = 10/3

102.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

103.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

104.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

105.

What is the solution of y + 5 = 10

a)

15

b)

10

c)

6

d)

5

106.

What is the solution of 13 = t + 7

a)

5

b)

6

c)

7

d)

20

107.

What is the solution of a - 5 = 9

a)

14

b)

9

c)

5

d)

4

108.

What is the solution of 10 = t - 8

a)

2

b)

4

c)

18

d)

20

109.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

110.

What is the solution of 6d = 24

a)

4

b)

5

c)

18

d)

144

111.

What is the solution of 42 = 7f

a)

294

b)

49

c)

35

d)

6

112.

9b = 54

a)

558

b)

486

c)

6.8

d)

6

113.

What is the inverse operation of dividing?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

114.

An equation is...

a)

a problem that contains at least one variable and at least one operation; no equal sign

b)

a mathematical sentence showing two expressions are equal.

c)

The solution for a variable

d)

The value that results in a true sentence

115.

d + 3 = 8

d = ?

a)

d = 3

b)

d = 8

c)

d = 5

d)

d = 11

116.

5 + g = 6

g = ?

a)

g = 5

b)

g = 1

c)

g = 11

d)

g = 9

117.

a - 1.1 = 2.3

a = ?

a)

a = 3.4

b)

a = 3

c)

a = 1.2

d)

a = 1.1

118.

4 - a = 1

a = ?

a)

a = -3

b)

a = 1

c)

a = 5

d)

a = 3

119.

4g = 24

g = ?

a)

g = 96

b)

g = 28

c)

g = 6

d)

g = 20

120.

2.5y = 5

y = ?

a)

y = 2

b)

y = 2.5

c)

y = 7.5

d)

y = 12.5

121.

5 = p ÷ 4

p = ?

a)

p = 9

b)

p = 1

c)

p = 5

d)

p = 20

122.

w ÷ 6 = 7

a)

w = 42

b)

w = 13

c)

w = 1

d)

w = 36

123.

What is the inverse operation of adding?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

124.

What is the inverse operation of subtracting?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

125.

What is the inverse operation of multiplying?

a)

Adding

b)

Subtracting

c)

Multiplying

d)

Dividing

126.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

127.

Solve. 5n - 4 = 21

a)

10

b)

-5

c)

5

d)

2

128.

Solve. -2n - 4 = 32

a)

18

b)

0

c)

16

d)

-18

129.

Solve. 4 - 2n = 34

a)

17

b)

-17

c)

-15

d)

15

130.

Solve. -11 = 4n + 5

a)

2

b)

3

c)

4

d)

-4

131.

Solve. -45 = 5 - 5n

a)

10

b)

12

c)

-10

d)

5

132.

Solve. -8 = 3n + 4

a)

4

b)

1 1/3

c)

-1 1/3

d)

-4

133.

-6n - 8 = 22

a)

-5

b)

5

c)

3/7

d)

-3/7

134.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

135.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

136.

Solve -20 = -4x - 6x

a)

x = -2

b)

x = 10

c)

x = 2

d)

x = -10

137.

Solve:

4 + (k/2) = -3

a)

14

b)

-14

c)

4

d)

-2

138.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

139.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

140.

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

a)

4

b)

3

c)

2

d)

1

141.

2x + 3(5x - 7) = 47

a)

1

b)

2

c)

3

d)

4

142.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

143.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

144.

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

a)

4

b)

3

c)

2

d)

1

145.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

146.

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.

147.

1 = 1 + 6b + 2b

a)

7

b)

0

c)

6

d)

1

148.

6 (-6 -5v) = 84

a)

-3

b)

-5

c)

-4

d)

3

149.

a)

50

b)

10

c)

-10

d)

-50

150.

a)

-2

b)

-1

c)

4

d)

2

151.

a)

35

b)

-84

c)

30

d)

23

152.

a)

6

b)

5

c)

7

d)

-7

153.

a)

25

b)

-45

c)

-25

d)

45

154.

a)

5

b)

-5

c)

-3

d)

3

155.

a)

0

b)

1

c)

2

d)

4

156.

a)

3

b)

-4

c)

-11

d)

-18

157.

a)

0

b)

-8

c)

3

d)

-6

158.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

Equations

Total questions: 158

Worksheet time: 7hrs 37mins

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