One Step Absolute Value Equations

Solve. |x + 3| = 10

• 7

• -13

• 13

• -7

• no solution

Solve. 5|x + 1| = 20

• -3

• -5

• 5

• 3

• no solution

Solve. 2|x| - 3 = 13

• 4

• -4

• 8

• -8

• No Solution

A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.

Write an inequality to model this situation.

• |x - 8| ≤ 240

• x + 240 ≥ 8

• |x - 240| ≤ 8

• |x - 240| > 8

Solve |x| + 7 > 16

• -9 < x < 9

• x > 9 or x < -9

• x > 9 or x < -9

• -9 ≤ x < 9

Solve 4|x - 1| < 24

• -7 < x < 7

• -5 < x < 7

• x < -5 or x > 7

• -5 < x < 5

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

x+2<-4 or -5x<-15

• -6<x<3
• x<-3 and x>6
• x<-6 or x>3
• No Solution