Absolute Value Equations and Inequalities Quiz

Solve.

|x + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12
• -12 ≤ x ≤ 4

Solve:
|x + 3| > - 8

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

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10
• x > 6 or x < -14
• all real numbers
• no solution

Solve.
|2x - 1| = 7

• x = -3 or x = 4
• x = 4
• x = 4 or x = -4
• no solution

Solve.
|2x - 1| = -7

• x = -3 or x = 4
• all real numbers
• x = 3 or x = -3
• no solution

Solve. 
|2x - 12| + 8  = 8 

• x = 6 or x = -2
• x = 6 or x = -6
• no solution
• x = 6

Solve.
-5|x - 4| > -20

• x < 8 and x > 0
• x > 8 or x < 0
• all real numbers
• no solution

Does 4 make the following inequality true?

2 < x < -1

• YES

• NO

Tags

CCSS.6.EE.B.5

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution