Absolute Value Equations & Inequalities

|v + 8| − 5 = 2 

• {-1,-15}
• {-1,-5}
• {-15,15}
• No Solution

Tags

CCSS.8.EE.C.7

|2a - 10| = 6

• a = 8, a = 5
• a = 2
• a = 8
• a = 8, a = 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve.

8 - 9|10r - 9| = -73

• r = 9/5, r = 0

• r = 0, r = 5

• r = 9/5, r = 1

• r = -63/10, r= 0

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

6(2x -1) ≥ 3(4x + 1)

• All Real Numbers

• No Solution

• x ≥ 3/8

• x ≤ -3/8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

-2(5 + 6n) < 6(8 − 2n)

• No Solution

• Infinite Solutions

• x < 0

• x > 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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.HSA.CED.A.1

CCSS.HSA.REI.B.3

-5|-n + 7| ≥ -45

• no solution

• all real numbers

• -2 ≤ n ≤ 16

• n ≤ -2 or n ≥ 16

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Solve for x: -0.5|x + 10| < 28

• -24 < x < 4

• -66 < x < 46

• x < -66 or x > 46

• Infinite Solutions

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.B.3