Chapter 2: Equations Review

Two-Step Equations

100

5x + 12 = -13

x = -5

200

m/7 - 3 = 6

m = 63

300

-4x + 3 = -5

x = 2

400

-x - 4 = 9

x = -13

500

(y-1) / 4 = -2

y = -7

Distributive Property

100

5(2x - 3) = 15

x = 3

200

2(8 + 4c) = 32

c = 2

300

4(2 - 3b) = 68

b = -5

400

-(w + 5) = -14

w = 9

500

2(x + 3) + 3(x - 2) = 10

x = 2

Combine Like Terms

100

5 + 3b - 13 = 13

b = 7

200

x + 2 + x = 22

x = 10

300

6p - 2 - 3p = 16

p = 6

400

4(y - 2) + 6 = 14

y = 4

500

5x + 3(x - 2) + 5 = 7

x = 1

Variables on Both Sides

100

5x + 2 = 2x + 14

x = 4

200

2(5x - 1) = 3(x + 11)

x = 5

300

2b + 4 = -18 - 9b

b = -2

400

3(q - 5) = 2(q + 5)

q = 25

500

-6a + 3 = -3(2a - 1)

identity

Literal Equation

100

Solve -6x + 2y = 18 for y

y = 9 + 3x

200

1) Solve 2y + 4x = 8 for y.

2) Find value of y when x = -2 and x = 1

1) y = 4 - 2x   or   y = -2x + 4

2) when x = -2, y = 8
    when x =  1, y = 2

300

1) Solve 4y = 16 - 4x for y.

2) Find value of y when x = -2 and x = -1

1) y = 4 - x

2) when x = -2, y = 6
    when x = -1, y = 5

400

Solve ax + b = c for x.

x = (c - b) / a

500

Solve a + 2y = 14 for y.

y = (14 - a) / 2