Free Printable Equations and Inequalities Quiz

1.

What is the solution of 9 + k = 18

a)

18

b)

9

c)

8

d)

7

2.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

3.

What is the solution of 13 = t + 7

a)

5

b)

6

c)

7

d)

20

4.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

5.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

6.

8v - v + 8 = 22

a)

2

b)

10

c)

4

d)

-4

7.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

8.

11 + 3b + 5 = 46

a)

10

b)

-1

c)

3

d)

-3

9.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

10.

Solve for y:
2y + 7 = 11

a)

y = 2

b)

y = 1

c)

y = 9

d)

y = 4

11.

Solve for x:
4x + 5x = 27

a)

x = 27

b)

x = 3

c)

x = -27

d)

x = 0

12.

Solve for m:
3m - 4 = 5m + 10

a)

m = 3

b)

m = 9

c)

m = -7

d)

m = 7

13.

Solve for f:
f + 12 = 3f - 20

a)

f = 32

b)

f = -32

c)

f = 16

d)

f = -16

14.

Solve:
-8 + 5x - 2 = 20

a)

6

b)

-6

c)

2

d)

-2

15.

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.

16.

Solve for x:

2x - 3 = 1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

17.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

18.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

19.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

20.

Solve for n:

4n+n+4=14

a)

6

b)

8

c)

-8

d)

2

21.

-2(x + 3) - 5 = 11

a)

x = - 11

b)

x = 2

c)

x = 11

d)

x = -2

22.

4x + 2(x - 6) = 12

a)

x = 6

b)

x = 4

c)

x = 2

d)

x = -2

23.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

24.

Find the error in the problem below

19 - 2k = 3k - 1

+3k +3k

19 + 1k = -1

-19 -19

k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

25.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

26.

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

a)

x = -6

b)

x = 6

c)

x = 3

27.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

28.

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

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

29.

Solve:
5y + 34 = -2(-7y+1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

30.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

31.

What is the error?

a)

Adding 2x to 3x

b)

Subtracting 5 from both sides

c)

Adding 2x to -2x

d)

Dividing by 5 on both sides

32.

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x ≤ -2

33.

a)

x > 1

b)

x > -1

c)

x < 1

d)

x < -1

34.

a)

x < 1

b)

x < -1

c)

x > 1

d)

x > -1

35.

a)

m < 6

b)

m < -6

c)

m > 6

d)

m > -6

36.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ 4

d)

a ≤ -4

37.

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x ≤ -2

38.

a)

x ≤ 4

b)

x ≤ -4

c)

x ≥ 4

d)

x ≥ -4

39.

a)

x ≥ 3

b)

x ≥ -3

c)

x ≤ 3

d)

x ≤ -3

40.

a)

n ≤ 6

b)

n ≤ -6

c)

n ≥ 6

d)

n ≥ -6

41.

Solve. Select BOTH solutions.

$\left|x-1\right|=3$

a)

-2

b)

2

c)

4

d)

-3

42.

Solve. Select BOTH solutions.

$\left|\frac{x}{5}\right|=3$

a)

8

b)

-8

c)

15

d)

-15

43.

Solve. Select BOTH solutions.
$\left|1-9x\right|=80$

a)

$-\frac{79}{9}$

b)

$10$

c)

$-9$

d)

$9$

44.

Solve. Select BOTH solutions.
$\left|10x-8\right|=38$

a)

$3$

b)

$-3$

c)

$\frac{23}{5}$

d)

$\frac{19}{5}$

45.

Solve. Select BOTH solutions.
$\left|-4+x\right|=10$

a)

$6$

b)

$14$

c)

$\frac{5}{2}$

d)

$-6$

46.

Solve. Select BOTH solutions.
$\left|9x+1\right|=73$

a)

$-\frac{74}{9}$

b)

$-8$

c)

$8$

d)

$63$

47.

Solve. Select BOTH solutions.
$\left|3x\right|+2=8$

a)

$\frac{10}{3}$

b)

$2$

c)

$-2$

d)

$-\frac{4}{3}$

48.

Solve. Select BOTH solutions.
$\frac{\left|-1+x\right|}{5}=1$

a)

$-4$

b)

$7$

c)

$-5$

d)

$6$

49.

Solve. Select BOTH solutions.
$4\left|10x\right|-3=117$

a)

$\frac{57}{20}$

b)

$12$

c)

$3$

d)

$-3$

50.

Solve. Select BOTH solutions.
$5\left|7+x\right|+2=17$

a)

$-10$

b)

$3$

c)

$4$

d)

$-4$

51.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

52.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

53.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

54.

| x – 3 |= 0

a)

3

b)

-3

c)

{-3, 3}

d)

no solution

55.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-5,5}

d)

No Solution

56.

Solve |2x –3| + 5 =10.

a)

-1, 1

b)

-1, 4

c)

-1, -4

d)

1, 4

57.

Solve for a. |2a - 10| = 6

a)

a = 8, a = 5

b)

a = 8

c)

a = 8, a=-2

d)

a = 8, a = 2

58.

Solve for k. |6 - 2k| = 18

a)

k = -6, k = 6

b)

k = -6, k = 12

c)

k = -6, k = -12

d)

k = -6, k = 5

59.

Solve for p. 9|9 - 2p| = 81

a)

p = 0, p = -9

b)

p = -63/2, p = 99/2

c)

p = 0, p = 9

d)

No Solution

60.

Solve.

8 - 9|10r - 9| = -73

a)

r = 9/5, r = 0

b)

r = 0, r = 5

c)

r = 9/5, r = 1

d)

r = -63/10, r= 0

61.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

62.

What is the absolute value of |-26|.

a)

26

b)

-26

c)

0

d)

-20

63.

What is the absolute value of |572|.

a)

275

b)

-572

c)

57

d)

572

64.

|x-3|=40

a)

x = 43, x = -37

b)

x = 43, x = -43

c)

x = -43, x = 37

d)

x = 43

65.

|x+7|=12

a)

x = -5, x = 19

b)

x = 5, x = -19

c)

x = 5, x = -5

d)

x = 12, x = -7

66.

|-2 - 4n| = 34

a)

n = -9, n = 8

b)

n = 9, n = 8

c)

n = -9

d)

n = 8

67.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

68.

3| −8x| + 8 = 80

a)

{-7/3, 7/3}

b)

{-3,3}

c)

{11/3,-11/3}

d)

No Solution

69.

8|-2x + 4| = 96

a)

x = -4, x = 8

b)

x = -4

c)

x = -4, x = -8

d)

x = 4, x = 8

70.

8|-2x + 4| = 96

a)

x = -4, x = 8

b)

x = -4

c)

x = -4, x = -8

d)

x = 4, x = 8

71.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

72.

Solve the following inequality:

| x − 2 | > 3

a)

2 < x < 10

b)

x < 2 or x > 10

c)

−1 < x < 5

d)

x < −1 or x > 5

73.

Solve the following inequality:

| 2w − 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

−5 < w < 6

d)

−6 < w < 5

74.

Solve the following inequality:

| x + 1 | ≥ 3

a)

No Solution

b)

All Real Numbers

c)

x ≤ −4 or x ≥ 2

d)

−4 ≤ x ≤ 2

75.

Solve the following inequality:

|x + 3| > − 8

a)

x > 5 or x < −11

b)

x > 5

c)

all real numbers

d)

no solution

76.

Solve the following inequality:

|x + 4| − 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < −14

c)

all real numbers

d)

no solution

77.

Solve the following inequality:

−5|x − 4| > −20

a)

x < 8 and x > 0

b)

x > 8 or x < 0

c)

all real numbers

d)

no solution

78.

Solve the following inequality:

|10 + 4x| < 14

a)

x < 1 and x > −6

b)

x < 1 or x > −6

c)

x < 6 and x > −6

d)

x < 1 or x > −1

79.

Solve the following inequality:

|3x + 6| ≥ 15

a)

x ≥ 3 or x ≤ −3

b)

x ≤ 7 and x ≤ −3

c)

x ≥ 7 and x ≤ −7

d)

x ≤ −7 or x ≥ 3

80.

Solve the following inequality:

|2x + 13| < 15

a)

x < 1 and x > −14

b)

x < 1 or x > −14

c)

x > 1 and x < −14

d)

x < 2 and x > −28

81.

Solve the following inequality:

| 3x − 9 | < 3

a)

x < −10 or x > −2

b)

−10 < x < −2

c)

x < 2 or x > 4

d)

2 < x < 4

82.

Solve.

a)

-1 < r or r < 9

b)

-1 < r < 9

c)

r < 9

d)

-1 < r

83.

Solve.

a)

b < -8

b)

b > -8

c)

All real numbers

d)

No solution

84.

Correct or incorrect?

a)

Correct

b)

Incorrect

85.

Solve.

a)

m ≥ 2 or m ≤ 5

b)

m ≥ 2 and m ≤ 5

c)

All real numbers

d)

No solution

86.

Solve.

a)

-1 < x < 3

b)

-1 < x or x < 3

c)

-1 < x

d)

x < 3

87.

Correct or incorrect?

a)

Correct

b)

Incorrect

88.

Solve.

a)

m = -5

b)

m = -7

c)

m = 5 or m = 7

d)

m = -5 or m = -7

89.

Solve.

a)

r = 0

b)

r = 10

c)

No solution

d)

All real numbers

90.

Solve.

a)

r = 19

b)

r = -13

c)

r = 19 or r = -13

d)

r = -12 or r = 13

91.

Solve.

a)

a = 3 or a = -11/9

b)

a = 3

c)

All real numbers

d)

No solution

92.

Solve.

a)

no solution

b)

-6 ≤ r ≥ 8

c)

6 > r > -8

d)

-6 < r < 8

93.

Solve.

a)

no solution

b)

x > 2 or x < -22

c)

-22 < x < 2

d)

all real numbers

94.

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

95.

a)

all real numbers

b)

no solution

c)

0 < v < 6⁄7

d)

0 ≤ v ≤ 6/7

96.

a)

r > 11/4 or r < 9/4

b)

r > 5 or r ≤ 0

c)

r > 5 or r < 0

d)

r < -5 or r > 0

97.

a)

no solution

b)

-6 < x < 26

c)

x < -6 or x > 26

d)

all real numbers

98.

| x + 3 | ≤ 2

a)

No Solution

b)

x ≤ -1

c)

-5 ≤ x and x ≤ -1

d)

1 ≤ x and x ≤ 5

99.

| 2w - 1 | < 11

a)

No Solution

b)

w < 5

c)

-5 < w and w < 6

d)

-6 < w and w < 5

100.

| x + 3 | > 8

a)

No Solution

b)

All Real Numbers

c)

x < -11 or x > 5

d)

-5 < x < 11

101.

What is the correct first step?

a)

divide by 10

b)

multiply by 10

c)

make it two inequalities with an "or"

d)

make it two inequalities with and "and

102.

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

103.

Which compound inequality represents the graph?

a)

m < -1 OR m > 2

b)

-1 < m < 2

c)

m > -1 OR m < 2

104.

| x - 2 | > 3
Is this an "and" or an "or" problem?

a)

and

b)

or

105.

Solve for v.

a)

v ≥ -6 and v ≤ -4

b)

v > -6 and v < -4

c)

v ≥ -6 or v ≤ -4

d)

v > -6 or v < -4

106.

An absolute value inequality is

a)

an inequality that contains an absolute value expression

b)

impossible to solve

c)

an equation that contains an absolute value expression

d)

always going to have two solutions

107.

Which compound inequality represents the graph?

a)

m < -1 OR m > 2

b)

-1 < m < 2

c)

m > -1 OR m < 2

d)

2 > m > -1

108.

| x - 2 | > 3
Is this an "and" or an "or" problem?

a)

and

b)

or

109.

What is the correct first step?

a)

divide both sides by 10

b)

multiply both sides by 10

c)

make it two inequalities with an "or"

d)

make it two inequalities with and "and" or a between statement

110.

| -8x | < 8

What is the correct first step?

a)

separate into two inequalities with an "and" or a between statement

b)

separate into two inequalities with an "or" statement

c)

divide both sides by -8

d)

add 8 to both sides

111.

What is ALWAYS the first GOAL in solving an absolute value inequality?

a)

set up the positive case

b)

set up the negative case

c)

isolate the absolute value expression

d)

multiply or divide by the coefficient of the variable

112.

| x + 3 | ≤ 2

a)

No Solution

b)

x ≤ -1

c)

-5 ≤ x and x ≤ -1

d)

1 ≤ x and x ≤ 5 ... 1 ≤ x ≤ 5

113.

| x + 3 | > 8

a)

No Solution

b)

All Real Numbers

c)

x < -11 or x > 5

d)

-5 < x < 11

114.

| 2w - 1 | < 11

a)

No Solution

b)

w < 5

c)

-5 < w and w < 6

d)

-6 < w and w < 5

115.

a)

no solution

b)

a> -1/6 or a< -5/6

c)

a>1/2 or a< -3/2

d)

all real numbers

116.

a)

no solution

b)

x > 2 or x < -22

c)

-22 < x < 2

d)

all real numbers

117.

Solve for n.

a)

n ≥ 10 and n ≤ -6

b)

n > 10 and n < -6

c)

n ≥ 10 or n ≤ -6

d)

n > 10 or n < -6

118.

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

119.

Solve x-2 < -8 or x/8 > 1

a)

x < -6 or x > 8

b)

x > -6 or x < 8

c)

8 < x < -6

d)

-6 < x < 8

120.

Solve for r.

a)

r ≥ -38 and r ≤ 32

b)

r > -38 and r < 32

c)

r ≥ -38 or r ≤ 32

d)

r > -38 or r < 32

121.

3 | 2t - 3 | - 5 > 16

a)

No Solution

b)

All Real Numbers

c)

t < -2 or t > 5

d)

-2 < t < 5

122.

| x | ≤ 3.5

a)

No Solution

b)

All Real Numbers

c)

-3.5 ≤ x ≤ 3.5

d)

x ≤ -3.5 or x ≥ 3.5

123.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

124.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

125.

a)

no solution

b)

-6 < x < 26

c)

x < -6 or x > 26

d)

all real numbers

Equations and Inequalities Quiz

Total questions: 125

Worksheet time: 14hrs 22mins

Similar Resources on Wayground