absolute value equations and inequalities

∣ 2x + 9 ∣ = 15

• x = 3 
• x = 3
  x = -6
• x = 3
  x = -12
• x = 6
  x = -12

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

|6 - 2f| = -5

• 11/2, 1/2
• -5, 5
• 1, 3
• ⊘ No solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

Solve the equation. 
-10|v + 2| = -70

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

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

Solve for x
3 l 4w−1 l −5 = 10

• x = 1.5 and x =-1
• x = -1.5 and x = 1
• x =1 and x = -1
• No Solution

|b-8|+10>22

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

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

|m-2| < 8

• 9>m>8
• 2<m< -6
• -6 <m< 10
• 0>m<0

• all real numbers
• no solution
• 0 < v < 6⁄7
• 0 ≤ v ≤ 6/7

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Solve.
|3x + 2| = x - 6

• x = -4
• x= 1
• x = -4 & x = 1
• no solution

Solve |2x –3| + 5 =10.

• -1, 1
• -1, 4
• -1, -4
• 1, 4

• no solution
• all real numbers 
• -2 ≤ n ≤ 16
• n ≤ -2 or n ≥ 16

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3