1.5: Absolute Value Equations & Inequalities Review

Which values are in the solution set of

|3x| = 9

Select all that apply.

• 3

• -3

• 9

• 27

• -27

Which values are in the solution set of

|x+3| = 1

Select all that apply.

• 1

• -1

• 2

• -2

• -4

Which values are in the solution set of

|x-3| = 5

Select all that apply.

• 8

• -2

• 5

• 3

• 2

Match the following

• x = 4, -8

• x = 2, -2

• |x| = 5

• No Solution

• |x-3| = 2

• x = 5, -5

• |2x| = 4

• x = 1, 5

• |x+2| = 6

Which values are in the solution set of

|2x-3| = 5

Select all that apply.

• 4

• -1

• 1

• -4

• 2

Solve for x. Write your answer with a comma between both numbers.

2|x-4| = 6

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-3}

• No Solution

Solve |x – 12| - 3 = 11.

• -2, -26
• -2, 26
• 3, 25
• 4, -7

Solve:
 |x + 3| > 8

• x > 5 or x < -11
• x > 5
• all real numbers
• no solution