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Solving Equations with Absolute Values

Total questions: 10

Worksheet time: 13mins

Name
Class
Date
1.
Absolute value is defined as...
a)
always positive numbers
b)
negative numbers becoming positive
c)
distance from zero
d)
numbers on the number line
2.

What is always your last step of solving equations with absolute values?

a)

Your last step depends on the equation.

b)

Solve for the unknown answer.

c)

Check your answer.

d)

Celebrate that you finished the problem!

3.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3, -6

c)

x = 3, -12

d)

x = 6, -12

4.

Solve |x – 12| - 3 = 11.

a)

x = -2, -26

b)

x = -2, 26

c)

x = 3, 25

d)

x = 4, -7

5.

|−2n| + 10 = −50

a)

r = 30, -30

b)

r = 20,-20

c)

r = -5,5

d)

No Solution

6.

Solve for r.

−2|−2r − 4| = -12

a)

r = 5,1

b)

r = -5,-1

c)

r = -5,1

d)

No Solution

7.

|3m - 9| = 18

a)

m = 9,-3

b)

m = 9,3

c)

m = 9

d)

no solution

8.

|d + 3| = 6 - 2d

a)

d = 1, 9

b)

d = -1

c)

d = 1

d)

no solution

9.

2|a - 5| = 22

a)

a = 16

b)

a = 16, -6

c)

a = 16, 6

d)

no solution

10.

|3h + 2| = 14 - h

a)

h = 3, -8

b)

h = 3

c)

h = 3, 8

d)

no solution