Absolute value equations and inequlities

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 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. 
-10|v + 2| = -70

• v = 5
• v = -9
• v = 5,-9
• No solution

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.7C

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

| x | ≤ 3.5

• No Solution
• All Real Numbers
• -3.5 ≤ x ≤ 3.5
• x ≤ -3.5  or  x ≥ 3.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

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

What is the first step? 

• Drop the absolute value bars by splitting into two inequalities 
• Drop the absolute value bars and subtract 7 from both sides

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which inequality represents the graph?

• -8 < x < -6
• x < - 8 AND x > - 6
• x < - 8 OR x > - 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

6x + 2 + 6x < 14

• x < 1
• x > 1
• x < -1
• x > -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3