Free Printable Evaluating Absolute Values

1.

Solve:

|2x - 3| < 5

a)

4 < x < -1

b)

-1 < x < 4

c)

x = 4 and x = -1

d)

x > -1 or x < 4

2.

Solve:

|5x - 1| + 3 = 9

a)

$x=\frac{4}{5}$

b)

x = $\frac{7}{5}$ and x = -1

c)

x = $\frac{7}{5}$ and x = $-\frac{11}{5}$

d)

x = $\frac{4}{5}$ and x = $-\frac{2}{5}$

3.

Solve:

|v + 8| − 5 < 2

a)

-15 < v < -1

b)

-1 < v < -15

c)

-5 < v < -1

d)

v > -15 or v > -1

4.

Solve:
|x + 4| - 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < -14

c)

all real numbers

d)

no solution

5.

When you graph an inequality, you use a closed circle when you use which symbols?

a)

≤, ≥

b)

<, >

6.

When graphing an inequality, you use an open circle when you use which symbol?

a)

<, >

b)

≤, ≥

7.

Solve.

|3v| > 21

a)

v > 7 or v < -7

b)

v ≥ 7 or v ≤ -7

c)

v > -7 or v < 7

d)

v > -7 or v > 7

8.

Solve.

|4 + n| < 3

a)

n > 1 or n < -7

b)

n > -1 or n < -7

c)

-7 < n < -1

d)

no solution

9.

Solve:

|-n + 7| ≥ 9

a)

n > 2 or n < -16

b)

n > -2 or n < 16

c)

-2 ≤ n ≤ 16

d)

n ≤ -2 or n ≥ 16

10.

Solve:

|5x - 2| + 7 > 39

a)

6.8 < x > -6

b)

x = -6 or x = 6.8

c)

x > 6.8 and x < -6

d)

x > 6.8 or x < -6

11.

Solve:

∣2x + 9 ∣ < 15

a)

-24 < 2x < 6

b)

-12 < x < -3

c)

-12 < x < 3

d)

-12 > x or x < 3

12.

Solve:
|x + 5| = 6

a)

-6, 6

b)

-11, 1

c)

-5, 6

d)

⊘ No solution

13.

Solve:

l4x − 1l − 5 = 10

a)

x = 4 and x = -3.5

b)

x = -4 and x = 3.5

c)

x = 4 and x = -1

d)

No Solution

14.

Absolute value is defined as...

a)

always positive numbers

b)

negative numbers becoming positive

c)

distance from zero

d)

numbers on the number line

15.

Solve:

|b - 8| < 12

a)

-4 < b < 20

b)

b < -4 or b > 20

c)

20 < b < -4

d)

b = -4 or b = 20

16.

Solve:

|2m - 2| < 8

a)

m > -3 or m < 5

b)

5 < m < -3

c)

-3 < m < 5

d)

-3 < m < 5

17.

Solve:
|7v + 3| > 3

a)

v > 0 or v < $-\frac{6}{7}$

b)

v > 0 or v > $-\frac{6}{7}$

c)

0 < v < $-\frac{6}{7}$

d)

0 ≤ v ≤ $-\frac{6}{7}$

18.

Solve:
| x + 2 | > 5

a)

x < - 7 or x > 3

b)

x > 7 or x < 3

c)

x < -7 and x > 3

d)

x > -3 and x < 7

19.

Solve:

|2x + 7| - 7 < -6

a)

x < -3 or x > -4

b)

-4 < x < -3

c)

-8 < 2x < -6

d)

-3 < x < -4

20.

Solve:

|-3x + 4| = 10

a)

x = -2

b)

x = -2 and x = $-\frac{14}{3}$

c)

x = -2 and x = $\frac{14}{3}$

d)

x = $\frac{14}{3}$

21.

Solve:
|6x - 12| = 0

a)

x = 2 and x = -2

b)

x = 2

c)

x = -2

d)

x = 0

22.

Solve:
|4 - 2x| > 6

a)

x > 1 or x < -5

b)

-1 < x < 5

c)

x > -1 or x < 5

d)

x < -1 or x > 5

23.

Which equation creates this absolute value graph?

a)

y = |x + 4|

b)

y = |x - 4|

c)

y = |x| + 4

d)

y = |x| - 4

24.

Which equation creates this absolute value graph?

a)

y = |x - 4| + 3

b)

y = |x - 3| + 4

c)

y = |-x + 4| + 3

d)

y = |x + 4| + 3

25.

Which equation creates this absolute value graph?

a)

y = | x + 2 |

b)

y = | x | + 2

c)

y = | x | - 2

d)

y = | x - 2 |

Evaluating Absolute Values

Total questions: 25

Worksheet time: 2hrs 5mins

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