Solving Absolute Value Equations

 $\left|x+7\right|=12$  

•  $x=5\ or\ x=-19$  

•  $x=5\ or\ x=-5$  

•  $x=5$  

•  $x=-5\ or\ x=19$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

 $\left|x-6\right|=3$  

•  $x=9$  

•  $x=-9\ or\ x=9$  

•  $x=9\ or\ x=3$  

•  $x=-3\ or\ x=3$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

∣ 2x + 9 ∣ = 15

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|6 - 2f| = -5

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|−4 + 5x| = 16

• $x=\frac{16}{5}or\ x=\frac{12}{5}$

• $x=4\ or\ x=-5$

• $x=-\frac{12}{5}or\ x=4$

• $x=4$

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

-|−2r − 1| = 11

• {-6,5}
• {5,-6}
• -6
• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|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 for a. |2a - 10| = 6

• a = 8, a = 5

• a = 8

• a = 8, a=-2

• a = 8, a = 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve for k. |6 - 2k| = 18

• k = -6, k = 6

• k = -6, k = 12

• k = -6, k = -12

• k = -6, k = 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|-2 - 4n| = 34

• n = -9, n = 8
• n = 9, n = 8
• n = -9
• n = 8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3