Absolute Value Equations

Rules/Problems

100

Get the Absolute Value bars by themselves

What do you do first in an Absolute Value Equation

200

For |ax+b|=c what are the two related equations to solve for x?

What are ax+b=c and ax+b=-c

300

|h-8|=|h+10|

What is h=-1

400

For |ax+b|=|cx+d| what are the two related equations to solve for x?

What is ax+b=cx+d and ax+b=-(cx+d)

500

| 2c + 3 | - 15 = 0

What is { 6 , -9 }

Problems (1)

100

| z - 13 | = 21

What is { -8 , 34 }

200

| d + 1 | = 7

What is { 6 , -8 }

300

5 | q + 6 | = 20

What is { -2 , -10 }

400

| p + 1 | + 10 = 5

What is { No Solution }

500

2 | 3x - 4 | + 8 = 6

What is { 5\3 }

Problems (2)

100

| d + 5 | = 9

What is { 4 , -14 }

200

| a - 6 | = 10

What is { 16 , -4 }

300

3 | r - 4 | = -21

What is { 3 , -11 }

400

6 | g - 3 | = 42

What is { 10 , -4 }

500

4 | 7y + 2 | - 8 = -7

What is { -.25 , -.32 }

Problems (3)

100

| w + 9 | = 17

What is { 8 , -26 }

200

2 | x + 5 | = 22

What is { 16 , -6 }

300

3 | 2a - 4 | = 0

What is { 2 }

400

2 | y + 4 | = 14

What is { 3 , -11 }

500

-3 | 3t - 2 | -12 = -6

What is { No Solution }

Problems (4)

100

| x - 6 | = 35

What is { 41 , -29 }

200

| t + 9 | - 8 = 5

What is { 4 , -22 }

300

8 | 5w - 1 | = 0

What is { 1/5 }

400

| 3b - 10 | = 2b

What is { 10 , 2 }

500

-5 | 3z + 8 | - 5 = -20

What is {-5\3 }