1.4 Absolute Value Equations

| x + 6 | = 11

• x = -6 and x = 11
• No Solution
• x = 5 and x = -17
• x = -5 and x = 17

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

| 2x - 1 | = -4

• x = ¹/₂ and x = -4
• No Solution
• x = ^-3/₂ and x = ⁵/₂
• x = ³/₂ and x = ^-5/₂

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

| 3x - 6 | - 9 = -3

• No Solution
• x = 0 and x = 4
• x = 2 and x = -2
• x = -4 and x = 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What are the two related linear equations for solving:
| x - 4 | = 8

• x - 4 = 8 and x + 4 = 8
• x - 4 = 8 and x - 4 = -8

Tags

CCSS.HSA.REI.B.3

Solve. Select BOTH solutions.
 $5\left|7+x\right|+2=17$  

•  $-10$  

•  $3$  

•  $4$  

•  $-4$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|−2r − 4| = -12

• {4,8}

• {-4,8}

• {4,-8}

• No Solution

Solve for x
l 4x−3 l = 17

• x = 5 and x =-3.5
• x = 0 and x = -5
• x = 10 and x = -10
• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

| x – 3 |= 0

• 3
• -3
• {-3, 3}
• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

 $\left|x\right|=5$  Solve for x:

•  $x=5\ \ \ OR\ \ \ x\ =\ -5$  

•  $x=5$  

•  $x=-5$  

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

|8 - 4x| = 16

• x = -2, x = -6
• x = 2 , x = 24
• x = -2, x = 6
• No Solution

Tags

CCSS.8.EE.C.7