Absolute Value Equations

Absolute Value 1

100

What do you do first in an Absolute Value Equation

Isolate

Get the Absolute Value bars by themselves

200

| z - 13 | = 21

What is { -8 , 34 }

300

2 | x + 5 | = 22

What is { -16 , 6 }

400

3 + | z + 5 | = 10

What is { 2 , -12 }

500

| 2c + 3 | - 15 = 0

What is { 6 , -9 }

Absolute Value 2

100

The answer to an absolute value problem is written as a...

Solution Set

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

-10 | h + 5| -3= -83

h = {-13,3}

Absolute Value 3

100

If the absolute value equals a negative number after it is isolated, then the answer is...

No solution

200

| a - 6 | = 10

What is { 16 , -4 }

300

3 | r - 4 | = -21

What is no solution

400

6 | g - 3 | = 42

What is { 10 , -4 }

500

4 | v - 2 | -3 = 25

v = {-5,9}

Absolute Value 4

100

Step 2 in solving absolute value equations says to set the "____" equal to both the positive and negative number from the other side of the equation

inside

200

| d + 5 | = 9

What is { 4 , -14 }

300

3 | 2a - 4 | = 0

What is { 2 }

400

2 | y + 4 | = 14

What is { 3 , -11 }

500

4 | 9 + 9n | - 1 = 107

x = {2, -4}

Absolute Value 5

100

| x | = 35

What is { 35 , -35 }

200

| t + 9 | - 8 = 5

What is { 4 , -22 }

300

-3 | p | = 12

No Solution

400

| 3b - 10 | = 2b

What is { 10 , 2 }

500

7 | 4n + 8 | - 6 = 106

What is {-6, 2}