Solving Equations Review

Distribution Property

100

3(x + 1) 

3x + 3

200

4(1 + 9x)

4 + 36x

300

5(3m - 6) 

15m - 6

400

3(2x + 4) + 4

6x +16

500

-10( 3x + 3) - 4(x +2) 

-34x - 38

One -Step Equations

100

2x = 8

x = 4

200

x + 3 = 8

x = 5

300

-3 + x = 7

x = 10

400

3 = (1/9)x

x = 27

500

(-1/4)x = -36

x = 144

Two-Step Equations

100

2x + 3 = 11

x = 4

200

2x + 4 = 8

x = 2

300

-3x - 5 = 10

x = -15

400

3 - (1/5)x = 4

x = -5

500

(1/3)x + 6 =12

x = 18

Multi-Step Equations

100

4x + 6 + 3 =17

x = 2

200

6r -1 + 6r = 11

r = 1

300

18 = 3(3x - 6)

x = 3

400

You bought a magazine for $5 and four erasers. You spent $25. How much did each eraser cost?

5 Erasers

500

On Tuesday Mei bought five CDs. On Wednesday half of all the CDs that she had were destroyed. On Thursday there were only 23 left. How many did she have on Monday?

She had 41 CDs.

Literal Equations

100

d = 2r, solve for r

r = d/2

200

I = prt, solve for t

t = (I / pr)

300

P = 100a / t, solve for a

a = pt / 100

400

w = 3x + 7y, solve for x

x = (w - 7y) / 3

500

A = (1/2)h(b₁ + b₂), solve for b₂

b₂ = (2A / h) - b₁