Absolute Value Equations and Inequalities

Evaluate each expression.
| 9 |

• 0.9
• 9
• -9
• 90

Tags

CCSS.HSA.SSE.A.1

| –3 |

• 3
• -3
• 0.30
• 30

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Tags

CCSS.6.NS.C.7

CCSS.6.NS.C.8

Solve the equation. 
|m| + 2 = 11

• m = -9
• m = 9
• m = -13, 9
• m = 9, -9

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

CCSS.6.NS.C.7

Solve this equation. 
|-6x| = 30

• x = -5
• No solution
• x = 5, -5
• x = 5 

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.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

• - 7 < y < 3
• - 8 < y < 4
• - 7 < y < - 3
• - 8 < y < - 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• x > 11 or x < 5
• x > - 11 or x > 5
• 5 < x < 11
• - 5 < x < 11

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• Infinite solutions
• - 2 ≤ x ≤ - 7 
• No Solution
• -7/3 ≤ x ≤ -3/7

Tags

CCSS.HSA.REI.B.3

• - 4 ≤ x ≤ 6
• x ≥ - 4 or x ≤ 6
• x ≥ 4 or x ≤ - 6
• - 4 ≤ x ≤ - 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3