Two-Step Equations - Pre-Algebra

Distributive Property

100

Solve. 

7(x-3)=28

x = 7

200

Solve. 

-8(x+4) = 4 

x = -4.5

300

Solve.

-7(3x - 12) = 105

x = -1

400

Solve.

 -3(1 - 9X) = -3 

x = 0

500

Solve.

 4(2K - 13) = 12

K = 8

Variables on both sides

100

Solve.

2x - 9 = 5x + 12

x=-7

200

Solve. 

x - 3x = 14 - 4x

x = 7

300

Solve.

- ⁶/₅K - 98 = 97 - ⁶/₅K

no solution (K = nothing)

400

Solve.

-4X - 6 = 2(-2X - 3)

all real numbers (x = anything)

500

Solve. 

-2(X + 10) = 4X + 16

x = -6

Two-Step Equations

100

Solve.

6x + 8 = 50

x=7

200

Solve.

 ^m/₉ + 10 = 8

m=-18

300

Solve.

13 = -4x + 9

x = -1

400

Solve.

^x/₅ + 7 = -3

x= -50

500

Solve.

4m - 6 + 7m + 7 = 23

m=2

Real World Problems

100

Mark runs 126 miles. He runs 14 miles a day, how many days does it take him to run 126 miles?

Mark runs for 9 days. 

200

John has saved $790 for his new skis and lessons. His skis cost him $432 and lessons cost $25 per lesson. How many lessons can he afford?

John can afford 14 lessons. 

300

The cost of the Amazon Movies is $14.00 per year plus $5.00 per movie you download. If you pay $489.00 one year, find the number of movies you downloaded. 

I have downloaded 95 movies.

400

Stacy raised $750 with her cookie and chocolate sales. Each box of cookies cost $5, she sold $355 from chocolate. How many boxes of cookies did she sell?

Stacy sold 79 boxes of cookies. 

500

At the fair, Hunter and his friend buy ride tickets. Hunter buys 8 more than his friend. In total you have 18 tickets. How many tickets did Hunters friend get?

Hunters friend bought 5 tickets. 

Word Problems

100

Solve. Three more then twice a number is 17

3 + 2x = 17

200

Solve. Six less than one half of a number is 18.

¹/₂ X - 6 = 18

300

Solve. The quotient of a number and 8 equals 56. 

^x/₈ = 56

400

Solve. Seven less than fifteen times a number is 43.

15X - 7 = 43

500

Solve. Twelve less than the quotient of a number and 9 is 14. 

^x/₉ - 12 = 14