Absolute Value Equations

Parts of solving an equation

100

What is the first step in solving absolute value equations?

Isolate absolute value

200

What is the second step in solving abolute value equations?

Check if equal to positive number or 0 (non-negative)

300

What is the third step in solving absolute value equation

Set up 2 equations 

400

What is the fourth step in solving absolute value equation?

Solve each equation

500

What is the final step in solving absolute value equations?

Check

Subsitute The Following

100

X= -4, Y= 3, Z = -5

/2+x/ - y

-1 

200

X = -4, Y = 3, Z = -5

15 -/2z + y/ 

8

300

X = -4, Y = 3, Z = -5

3x + / 2/3y + z/

-9

400

X = -4, Y = 3, Z = -5

/7Y + X/ +Z

12

500

X = -4, Y = 3, Z = -5

25Z -/X + Y/

-124

Solve This Equation

100

5 + /p-4/ = 8

{7,1}

200

2 /x/ - 3 = 9 

{6, -6}

300

/2x - 10/ = 8 

{9, 1}

400

/6x + 6/ = 30

{4, -6}

500

5 - 3 /x -10/ = 8

{0}

1 Answer Equations

100

/2(2.1) + -4.2/ + 2(3)

{6}

200

- /5(-2) + 2/ + /3(3) + 2(-4.2)/

{-7.4}

300

/3 - 2(-4.2)/ - 3

{8.4}

400

/2(2.1) - (-4.2)/ + 6(-3)

{-9.6}

500

-4 /2-3/ + 2 /-4.2 -(-2)/

{.4}

Subsitute The Following Pt 2

100

A = -2, B = -3, C = 2

4a - /3b +2c/ 

{-13}

200

A = -2, X = 2.1

-a + /2x - a/ 

{8.2}

300

A = -2, Y = 3, Z = -4.2

-3/z/ + 2 (a + y)

{-10.6}

400

A = -2

/(3/4)a - 3/ = 9

{-8, 16}

500

B = -3, C = 2

3 /3b -8c/ -3 

{72}