Absolute Value Equations

Rules

100

What do you do first to solve an Absolute Value Equation?

Get the Absolute Value bars by themselves

200

How many equations should you have when solving absolute value?

Two

300

Absolute value equations can never be equal to this

A negative number

400

How do you set up the two absolute value equations?

One is positive on the right side and the other is negative

500

What is Absolute value?

The distance a number is from zero on a number line

Absolute value equations

100

| z - 13 | = 21

What is { -8 , 34 }

200

| d + 1 | = 7

What is { 6 , -8 }

300

5 | q + 6 | = 20

What is { -2 , -10 }

400

| p + 1 | + 10 = 5

What is { No Solution }

500

2 | 3x - 4 | + 8 = 6

What is { 5\3 }

Literal Equations

100

Solve z=m-x , for x.

x = -z + m

200

Solve u = 2x - 2, for x.

x = (u + 2)/ 2

300

Solve g = b - ca, for a.

a = (-g + b)/c

400

Solve g = x - c + y, for x.

x = g + c -y

500

Solve xm = np, for x

x = np/m

One Step Equations

100

v − 10 = −3

v=7

200

–3.5 = v/0.2

v = - 0.7

300

418 = −22a

a= -19

400

9/5 = r - 8/5

r = 17/5 or 3 2/5

500

6/5 = d/(5/4)

d = 3/2 or 1.5

Multi-step Equations

100

−12 = 2 + 5v + 2v

v = 2

200

−3(4r − 8) = −36

r =  5

300

75 = 3(−6n − 5)

n = -5

400

−3(1 + 6r) = 14 − r

r = -1

500

10p + 9 − 11 − p = −2(2p + 4) − 3(2p − 2)

p = 0