Solving Equations

Distributive Property

100

(x + 3) + (2x - 1)

3x + 2

200

(4 − n) + 2(–5n + 3)

-11n + 10

300

1/2(w − 6) + 1/4(w + 12)

3/4w

400

(7y + 5) − 2(4y − 3)

-y + 11

500

−2(c + 2.5) − 5(1.2c + 4)

-8c - 25

Solving Simple Equations

100

-7 + h = -4

h = 3

200

6 + a = 7

a = 1

300

2.7f = -10.8

f = -4

400

w/7 = -3/7

w = -3

500

-3/4x = -12

x = 16

Solving Two - Step Equations

100

2b + 13 = -25

b = -19

200

-13s + 3 = 16

s = -1

300

a/7 - 9 = -72

a = -441

400

4.3 - 3.7r = -9.7

r = 3.78

500

4/5 c - 7.9 = -8.3

c = -0.5

Solving Multi - Step Equations

100

- 18 = 6z - 9z

z = 6

200

- 4(1 - 8h) = - 36

h = -1

300

- 4b + 4(2b - 1) = - 32

b = -7

400

- 24 = - 9 + 6(r + 4)

r = -6.5

500

- 9 + 7(1 - 5a) = - 30

a = 0.8

Solving Equations with Variables on Both Sides

100

6(n - 6) - 4(n + 2) = 3n - 8

n = -36

200

6 - 5a = -3(a - 4)

a = -3

300

-8(r - 9) + 3(r - 4) = -4r - 6

r = 66

400

-3s - 2 = -2 - 6s

s = 0

500

-7 - 3k = -5(k + 7)

k = -14