Absolute Value Equations and Inequalities

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

I 5 I

• 5
• -5
• -5 and 5

Tags

CCSS.6.EE.B.5

CCSS.6.NS.C.5

Evaluate the expression.
|–5| + 8

• 3
• 13
• -13
• -3

Tags

CCSS.6.EE.A.2

CCSS.6.NS.C.7

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides
• Get absolute value alone by dividing by 5 on both sides
• Split into two equations

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve |x – 12| - 3 = 11.

• -2, -26
• -2, 26
• 3, 25
• 4, -7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What inequality does the number line graph represent?

• x ≥ 3
• x > 3
• x < -3
• x ≤ -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| x + 2 | > 5

• x < - 7 or x > 3
• x > 7 or x < 3
• x < -7 and x > 3
• x > -3 and x < 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

| m - 2 | < 8

• m > 8 or m < 9
• m < -6 or m > 2
• m > -6 and m < 10
• 0 > m < 0

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

• 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