Single and Multistep Equations

Single-Step Equations

100

Solve: x+7=15

x=8

200

Solve: m−12=9

m=21

300

Solve: y/4=6

y=24

400

 Solve: −8+p=3

p=11

500

Solve: z/5−2=7

z=45

Distributing

100

Simplify: 2(x+3)

2x+6

200

Solve for x: 3(x−2)=12

x=6

300

 Use distributive property then solve: 4(2n+1)=28

n=3

400

 Distribute and solve: −2(3a−4)=10

a=-1/3

500

Apply distribution, combine like terms if needed, and solve: 5(12t+4)=35

t=6

Combining Like Terms

100

Simplify by combining like terms: 3x+2x

5x

200

Simplify: 2+5y−2y+2

3y+4

300

Combine like terms and simplify: 2a+3−5+4a

6a-2

400

Simplify: 7m−3n+2m−5n

9m-8n

500

Solve for x when y=2:  4x+3y−2x+y=18

x=5

Word Problems

100

Anna has 8 more than twice the number n. If the value is 20, find n.

n=6

200

A store sold k bracelets for $6 each and earned a total of $78. Write and solve an equation to find k.

k=13

300

The length of a rectangle is 3 more than its width. If the width is w and the perimeter is 28, write and solve an equation to find the width. (Hint: perimeter of rectangle = 2(length+width).)

w=5.5 or 11/2 

400

Sam saved 1/3 of his money and spent the rest. After spending, he had $40 left, which was 2/3 of his original amount. How much money did Sam start with?

Sam started with $60 

500

A gym membership costs a signup fee plus a monthly fee. The total cost for 4 months was $140. If the signup fee is $20, write and solve an equation to find the monthly fee m.

20+4m=140

m=30