Solving Absolute Value Equations

#1. Solve for x:

|2x - 3| = 5

• x = 4

• x = -4

• x = 1

• x = -1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

#2. Solve for g:

|g - 3| = 10

• g = 7

• g = 13

• g = -13

• g = -7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

#3. Solve for y.

|y + 4| - y = 10

• y = 10

• y = -7

• y = 7

• y = 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

#4. Solve for m

|2m + 4| = 5

• m = 2

• m = 1/2

• m = -9/2

• m = -1/2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

#5. Solve for x

-|x - 6| = x + 12

• No Solution

• x = 0

• x = 18

• x = -3

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

#6. Solve for z

|2z - 3| = 4z - 1

• $z=-1$

• $z=1$

• $z=\frac{2}{3}$

• $z=-2$

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

#7. Solve for y

|2y - 4| = 12

• y = 8

• y = -8

• y = -4

• No Solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

#8. Solve for w

3|4w - 1| - 5 = 10

• $w=\frac{3}{2}$

• $w=-1$

• $w=\frac{2}{3}$

• $w=-\frac{1}{6}$

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

#9. Solve for x

|2x + 5| = 3x + 4

• No Solutions

• $x=1$

• $x=-\frac{9}{5}$

• $x=9$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

#10. Solve for m

-10 - 2|4 - m| = 4

• $m=13$

• $m=5$

• $m=-5$

• No Solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3