Solving Equations

Basic Equations

100

x + 3 = 9

x = 6

200

8x = 32

x = 4

300

(1/4)x = -6

x = -24

400

x - (-12) = -19

x = -31

500

-12 + x = -3 - 4 + 13

x = 18

Two-Step Equations

100

3x + 2 = 14

x = 4

200

-2x - 5 = 17

x = -11

300

(1/3)x + 7 = 17

x = 30

400

(-2/5)x - 2 = -22

x = 50

500

(-1/2)x - (-3) = 8

x = -10

Variables on Both Sides

100

3x = 2x + 6

x = 6

200

4x + 5 = 6x - 9

x = 7

300

4(x-3) = 7x - 18

x = 2

400

6(5x + 1) = -8 ( -3x + 3)

x = -5

500

3(2x + 4) - 8x = -4(x + 1) + 2

x = 5

Mixture of Equations

100

8(m+5) = 16

m = -3

200

4x + 5 = x - 4

x = -3

300

7y + 5 - 3y + 1 = 2y + 2

y = -2

400

5c - 4 - 2c + 1 = 8c + 2

c = -1

500

2y + 1.8 = 4y - 4.4

y = 3.1

Literal Equations

100

Solve for a

a+x = y

a = y - x

200

Solve for b

b - g = h

b = h + g

300

Solve for y

y/a = x + d

y = a(x+d)

400

Solve for h

g - h = f

h = -f + g

500

Solve for m

a/m = h

m=a/h