Solving Absolute Value Equations Warm Up

Solve: |x + 5| = 7

• No Solution

• x = 2

• x = {2, -12}

• x = {5, 7}

What is the first step to solve the equation?

|8x - 3| + 4 = 20

• Separate the absolute value into two equations.

• Combine Like Terms

• Distribute

• Isolate the absolute value

Solve: |2x + 3| = 11

• x = {-4, 14}

• x = {-7, 4}

• x = 4

• No Solution

How many solutions does the following equation have?

|2x + 6| + 15 = 3

• No Solution

• 1 Solution

• 2 Solutions

• Infinite Solutions

What is the first step to solve the equation?

|3x - 4| = 2

• Separate the absolute value into two equations

• Combine Like Terms

• Distribute

• Isolate the absolute value

How many solutions does the following equation have?

|5x - 26| = 39

• No Solution

• 1 Solution

• 2 Solutions

• Infinite Solutions

How many solutions does the following equation have?

5|x + 7| - 9 = -9

• No Solution

• 1 Solution

• 2 Solutions

• Infinite Solutions

Solve: |4x - 12| = 0

• No Solution

• x = 3

• x = {-3, 3}

• x = {-12, 4}