Solving Equations Review

One-Step Equations

100

Solve for x:

x - 13 = 22

x = 35

200

Solve for y:

-5 = y + 8

y = -13

300

Solve for a:

a/5 = -6

a = -30

400

Solve for b (your answer must be fully simplified):

3/4 + b = 7/12

b = -1/6

500

Solve for c (leave your answer as a fraction):

-5/9 + c = -6/7

c = -19/63

Two-Step Equations

100

Solve for x:

2x + 5 = 11

x = 3

200

Solve for y:

7 - y = 15

y = -8

300

Solve for a:

a/2 + 6 = 11

a = 10

400

Solve for b:

-14 = 6 - b/2

b = 40

500

Solve for c (round your answer to the hundredths place):

4.5 + 3.6c = 19.4

c = 4.14

Multistep Equations

100

Solve for x

3x = 2x + 5

x = 5

200

Solve for y:

2 + 3 + y = 4 + 3

y = 2

300

Solve for a:

4a + 3a = 11 + 3

a = 2

400

Solve for b:

5b + 4 = 3b + 8

b = 2

500

Solve for c:

(5(c+3))/2 = 15

c = 3

Literal Equations

100

Solve for x

2x = 8c

x = 4c

200

Solve for y:

-x + y = 10

y = 10 + x

300

Solve for a:

a + b = c

a = c - b

400

Solve for b:

3b - a = c

b = c/3 + a/3

500

Solve for c:

e = mc²

c = sqrt(e/m)

Variable in the Denominator

100

Solve for x: 

1/x = 1

x = 1

200

Solve for y:

1/y = 1/4

y = 4

300

Solve for a:

1/a = 2/6

a = 3

400

Solve for b:

2/b = 4/10

b = 5

500

Solve for c (leave your answer as a fraction):

8/c = 7/10

c = 80/7