Activity 5 Study Guide: Absolute Value Equations & Inequalities

l 8x l = 40

• x = -5 and x =5

• x = 35 and x = -35

• Only x = 8

• No Solution

|x| - 20 = 5

• x = 15 and x = 25

• x = 15 and x = -15

• x = -25 and x = 25

• no solution

Evaluate each expression.
| x + 9 | = -5

• -14
• -4
• {-14, -4}
• no solution

Tags

CCSS.8.EE.C.7

|−2n| + 10 = −30

• {20, -20}

• {10,-20}

• {-5,5}

• No Solution

|6 - 2f| = 0

• 11/2, 1/2

• 3

• 1, -3

• 0

Solve the equation. 
4|n + 8| = 56

• n = 6
• n = -22
• n = 6, -22
• No solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the equation. 
|x/7| = 3

• No solution
• x = 21
• x = 21, -21
• x = -21

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

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

-3 |1 - x| -2 = -14

• x = 3 or x = -5

• No Solution

• x = -3 or x = 5

• x = -3 or x = 3

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5
• x = 0 and x = -5
• x = 10 and x = -10
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3