Finding Absolute Value
Comparing Absolute Value
Simplifying Absolute Value Expressions
Absolute Value Equations-# of solutions
Absolute Value Equations
Solving with square roots
100

| 5 | = 

5

100

| 6 | ____ | -6 | 

 ( <  >  = )

6 = 6

100

|7| + |3| =

7 + 3 = 10

100

How many solutions are there in the equation: 

|x+1|= -2

None / No solution

100

| x | = 6

x = 6 and x = -6

100

Solve this equation by taking square roots.

x2 + 1 = 26

x2 = 25


x= 5, -5

200

| -12 | =

12

200

| 15 | ____ | -10 | 

 ( <  >  = )

15 > 10

200

 |3| x |-5| =

3 x 5  = 15

200

How many solutions are there in the equation: |x| = 3

Two solutions

200

| d + 1 | = 7

What is { 6 , -8 }

200

Solve this equation by taking square roots.

(x-4)2 - 16 = 0

(x-4)2 = 16

x- 4 =±  4 

x = 0 or 8

300
- | 3 | =

-3

300

| -7 | ____ | -5 | 

 ( <  >  = )

7 > 5

300

|-8| + |-5| + |3| =

8 + 5 + 3 = 16

300

How many solutions are there in the equation: 

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

None / No solution

300

| w + 9 | = 17

What is { 8 , -26 }

300

Solve this equation by taking square roots.

(x+7)2 - 11 = 0

(x+7)2 = 11

x + 7 = ±√11

x = -3.68 and -10.32

400

- | -4 | = 

-4

400

- | 9 | ____ | -11 | 

 ( <  >  = )

-9 < 11

400

|-2 – 10| ÷ 3 =

| -12 | ÷ 3 = 12 ÷ 3 = 4

400

How many solutions are there in the equation: 

2| y + 4 | = 14

Two Solutions

400

| z - 13 | = 21

What is { -8 , 34 }

400

What do you have to do first to solve quadratics equation by taking square roots?

isolate the square

500

| 0 | = 

0

500

- | 4 | ____ - | 2 | 

 ( <  >  = )

-4 < -2

500

|7 – 11| x |2 – 5| =

| -4 | x | -3 | = 4 x 3 = 12

500

How many solutions are there in the equation: 

3| 2a - 4 | = 0

One solution

500

| a - 6 | = 10

What is { 16 , -4 }

500

What do you have to do to solve quadratics equation by taking square roots after step 1?

You have to take the square roots both sides. After that, solve the square roots and sole for x.