Absolute Value Equations and Inequalities Quiz Review

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4
• x = 5 and x = -5
• Only x = 5
• No Solution

Solve for x
l x−6 l + 4= 10

• x = 12 and x = 0
• x = 3 and x = -3
• x = -12 and x = 0
• No Solution

Evaluate each expression.

| x + 9 | = -5

• x = -14

• x = -4

• x = -14 and x = -4

• no solution

−2|−2r − 4| = -12

• x = 5 and x = 1

• x = -5 and x = -1

• x = -5 and x = 1

• No Solution

Solve 4|x - 1| < 24

• x > -7, x < 7

• x > -5, x < 7

• x < -5, x > 7

• x > -5, x < 5

Solve.

6 - 2|m -3| > -4

• m > -8, m < 2

• m < -8, m > 2

• m < -2, m > 8

• m > -2, m < 8

Which graph represents the solution to the absolute-value inequality:

I 2x - 11 I < 21

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Answer explanation

Remember what sort of graph < means for absolute-value.

Which graph represents the solution to the absolute-value inequality:

I 3x + 9 I > 27

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Answer explanation

Remember what sort of graph > means for absolute-value.

Solve:

|x + 3| > - 8

• x > 5, x < -11

• x > 5

• all real numbers

• no solution

Solve:

3 | 2x + 7| - 7 < -4

• x < -3, x > -5/3

• x < -3, x > -4

• all real numbers

• no solution