Linear Equations

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= 16

500

16 = x/2

x= 32

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

(x/2) +10=-8

x= -36

400

(x/2)-4=10

x= 28

500

(x/3)+12=-3

x= -45

Multi-Step Equations

100

Solving Equations

3(x+6)-x-2x=18

infinitely many solutions

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

-4(-8p + 1) = -4 - 8p

p = 0

300

Solving Equations

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

no solution

400

Solving Equations

5x + 5 + 4x = 4 - 3x + 6

x= 5/12    or    x= 0.41667

500

Solving Equations

6(x+3)-4(x+2)=2x+10

infinitely many solutions

Equations w/ Exponents

100

x²+11=75

x= 8 or -8

200

x³+19=46

x=3

300

2x²-18=32

x= 5 or -5

400

4(x²-1)=60

x= 4 or -4

500

6(x³+4)=1320

x=6