Solving Equations Review

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

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(6n - 2) = 8n - 40

n = -1

400

Solving Equations

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

x= 5/12    or    x= 0.41667

500

Solving Equations

-5(8n - 4) - n = - 16 - 5n

n = 1

Equations with Fractions

100

Solve:

2/5v-2 = 4

v=15

200

Solve for x: 

8/3x-9/4x=-5/12

x=-1

300

12/5x-2x=3/10

x=3/4

400

3/8(-y-4)=-3

y=4

500

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

x=-4/3

Two-Step Equations and proportions

100

4 = -8 + 3x

x= 4

200

x/-5 + 12 = 0

x= 60

300

3 = (-2 – x)/4

x= -10

400

5/8=10/x

x= -16

500

 2/10=4/(a-3) 

a=23

Special Cases

100

7(2 + 5v) = 3v + 14

One Solution: x=0

200

36 - 7p = -7(p-5)

No Solution

300

-4(v + 3) = -12-4v

All Real Numbers or Identity

400

-3(v + 4) = 2v-37

One Solution

v=5

500

3 + 5n = 5(n+2)

No Solution