Solving Linear Equations

One-Step Equations

100

y - 15 = -4

y = -2

200

25 = -35 - c

c = -60

300

-11 = z - (-15)

z = -26

400

6m = -72

m = -12

500

y/4 = 15/6

y = 10

Multi-Step Equations

100

26 - 9p = -1

p = 3

200

(4/5)c - 12 = -32

c = -25

300

-2(4-x) - 7 = 5

x = 10

400

(-2/3)(6-2a) = 6

a = 15/2

500

n - 4(1+5n) = -2

n = -2/19

Variables on Both Sides

100

9z + 24 = -3z

z = -2

200

12 - 4h = -18 + 11h

h = 2

300

9(-5 - r) = -10 - 2r

r = -5

400

(2/3)(3x - 9) = 4(x+6)

x = -15

500

6m - 3 = 10 - 6(2 - m)

no solution

Formulas and Functions

100

Rewrite the equation so that y is a function of x.

2x + y = 5

y = -2x + 5

200

Rewrite the equation so that y is a function of x.

13 = 12x - 2y

y = 6x - 13/2

300

Solve for b

A = (1/2)bh

b = (2A)/h

400

Solve for w:

P = 2l + 2w

w = (P - 2l)/2

500

Solve for p:

R = pV / nT

p = (RnT)/V