6.5 Solving Absolute Value Equations

6.5 Setting up Absolute Value Equations

Multiple Choice

Evaluate:

|5|

• 5

• -5

Multiple Choice

Evaluate:

|-5|

• 5

• -5

Multiple Choice

Evaluate:

|216|

• 216

• -216

Multiple Choice

Evaluate:

|-216|

• 216

• -216

Multiple Choice

Evaluate:

|0|

• 0

• no solution

So why are we talking about this?

• |x| --> this looks different

• the value of x can have two values

"What are 2 numbers that are 12 units from zero?"

• x = 12

• x = -12

"What are 2 numbers that are 110 units from zero?"

• x = 110

• x = -110

"What are 2 numbers that are 11 units from zero?"

• x = 11

• x = -11

Open Ended

What 2 values make this sentence true?

|x| = 13

Open Ended

What 2 values make this sentence true?

|x| = 189

Open Ended

What 2 values make this sentence true?

|x| = 2

Let's set this up:

• x - 3 = 14

• x - 3 = -14

Let's Set This Up:

• 2x + 3 = 21

• 2x + 3 = -21

Open Ended

How would you set this up? You should have two equations.

|x - 3| = 5

Open Ended

How would you set this up? You should have two equations.

|2 + x| = 4

Open Ended

How would you set this up? You should have two equations.

|x| = 144

Multiple Select

Check all the correct setups for this absolute value equation:

|3x + 2| = 7

• |3x + 2| = 7

• 3x + 2 = 7

• 3x + 2 = -7

• |3x + 2| = -7

Multiple Select

Check all the correct setups for this absolute value equation:

|4x| = 8

• |4x| = -8

• |4x| = 8

• 4x = 8

• 4x = -8

Multiple Select

Check all the correct setups for this absolute value equation:

|x| = 2

• x = 2

• |x| = 2

• x = -2

• |x| = -2

Poll

How do you feel about this lesson so far?

• I understand it completely so far.

• I understand some of it.

• I get it, but need more practice.

• I have no idea what I am doing.