Absolute Value Equations and Inequalities

Solve:
|x - 7| = 2x

• x = -7
• x = -7, x = 7/3
• x = 7/3
• x = -7, x = -7/3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

 Solve:
|−2n| + 10 = −50

• {30, -30}
• {20,-20}
• {-5,5}
• No Solution

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.NS.C.7

|-9v| < 54

• -6<v<6
• v<-6 or v>6
• v=6 or v=-6
• -6>v<6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve and graph:

• A
• B
• C
• D

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

|p+4|≤ 8

• -42 ≤ p ≤ 16
• -5 ≤ p <6
• 12 > p > 9
• -12 ≤ p ≤ 4 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

|b-8|+10>22

• -4<b<20
• b<-4 or b>20
• 20<b<-4
• b=-4 or b=20

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|r|-3 >2

• |r|+6 <-6
• |r|-3 >2
• |r|-37≤ 2
• r>5 or r<-5

4|5x-2|+7>39

• -6/5<x>2
• x=2 or x=-6/5
• x=2 and x=-6/5
• x<-6/5 or x>2

Tags

CCSS.6.NS.C.7C

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Which graph matches the function:
y = -2|x - 3| + 5

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7