2.5 Lesson: Solving Absolute Values

Solving Absolute Values

Multiple Choice

Distance can be negative

• True

• False

Solving Absolute Values

A numbers distance away from zero

Talk with your neighbors, how many answers does
|x| = 5 have?


Case 1 =

Case 2 =

Multiple Select

| y | = 12

• 12

• -12

• 0

• No Solution

Open Ended

How can we solve the following?

| y | = -12

In this case, since our absolute value is equal to a negative we end up having no solution.

| y | = -12

Since our absolute value is equal to a positive, we can get two answers.

Don't forget, if it's equal to zero, you only get one answer.

| y | = 12

We can only solve if it's postive!

Categorize

Options (12)

|x+ 10| = -12

|x| = -3

|x - 4| = -7

|x - 3| = 0

|2x - 4| = 0

|4x + 8| = 0

|x| = 0

|x| = 12

|x| = -12

|x + 5| = 15

|-x -20| = 2

|5x +23| = 28

Match each one with how many answers it will have!
Don't worry about trying to solve it

No Solution

One Solution

Two Solutions

y + 2 = -4

If our inside is negative
Case 2:

y + 2 = 4

If our inside is positive
Case 1:

Thinking double! |y+2| = 4

What has an absolute value of 4?

Multiple Select

Find the two answers that solve the following

|2x - 4| = 8

• x = -2

• x = 6

• x = 2

• x = -6

Match

Math the equation with the correct answers

• |x + 3| = 6

• |x - 1| = 0

• |x - 1| = 6

• |x - 3| = -5

x = 3 and -9

x = 1

x = 7 and -5

No Solution

• x = 3 and -9

• x = 1

• x = 7 and -5

• No Solution

Open Ended

What are you struggling most with solving for absolute values?