Absolute Value Equations and Inequalities Review

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• no solution
• -6 < x < 26
• x < -6 or x > 26
• all real numbers

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve:
3 | 2x + 7| + 7 < 4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Sam's house is 14 blocks from the school. Emily lives 6 blocks from Sam. Use an absolute value equation to determine Emily's distance for the school.

• |x + 6| = 10
  6, 14
• |x – 6| = 14
  20, 8
• |x – 14| = 6
  20, 8
• |x + 14| = 6
  6, 14

Tags

CCSS.HSA.CED.A.3

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

Tags

CCSS.7.EE.B.3

|x + 9| < 6

can be stated as the set of points whose distance from ______ is less than ______.

• 6 -9

• 6; 9

• -9; 6

• 9; 6

|x - 4| = 3

can be stated as the set of points whose distance from ______ is equal to ______.

• -4; 3

• 4; 3

• 3; -4

• 3; 4

|x + 12| < 2

can be stated as the set of points whose distance from...

• -12 is less than or equal to 2

• 12 is less than or equal to 2

• 2 is greater than or equal to 12

• 2 is less than or equal to 12

• -12 is greater than or equal to 2