Solve Absolute Value Equations

Solve |x|= 9

• x = 9

• x = -9 or x = 9

• No Solution

• x = -9

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

|x|= 2.25

• x = -2.25 or x = 2.25

• x = -2 or x = 2

• No Solution

• x = 2.25

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

|x - 6|= 14

• x = 8

• x = 20

• x = -8 or x = 20

• No Solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

|x + 1| = 8

• x = -7 or x = 9

• x = -9 or x = 7

• x = 7

• No Solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

|2x - 3| = 15

• x = -6 or x = 9

• x = -9 or x = 6

• x = 9

• No Solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

|4x +1| = 15

• $x\ =\ \frac{7}{2}$

• No Solution

• x = -4 or x = 4

• x = -4 or

  $x\ =\ \frac{7}{2}$

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

|7x + 2| = 23

• $x\ =\ -\frac{25\ }{7}\ or\ x\ =\ 3$

• $x\ =\ -3\ or\ x\ =\ \frac{25}{7}$

• $x\ =\ 3$

• No Solution

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

 $\left|5-2x\right|=9$  

• No Solution

•  $x\ =\ -7\ or\ x\ =\ 2$   

•  $x\ =\ -2\ or\ x\ =\ 7$  

•  $x\ =\ -2$  

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1

 $\left|10-2x\right|=-4$  

•  $x=3\ or\ x\ =\ 7$  

• No Solution

•  $x=-3\ or\ x\ =7$  

•  $x\ =\ -7\ or\ x\ =\ 3$  

Tags

CCSS.HSA.REI.B.3

 $\left|2x-2\right|=6$  

•  $x=4$  

• No Solution

•  $x\ =\ -2\ or\ x=4$  

•  $x\ =\ -4\ or\ x\ =\ 2$  

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.A.1