Two Step Equations
Two Step Equations with Fractions
What's the first step?
Distributive Property
Word Problems
100

5x + 4 = 54 

x = 10

100

 3 + x/2 = 10

x = 14

100

4n + 3=15

subtract 3 from both sides

100

- 5(-2x + 1) = 5

x = 1

100

Dubuque Bike Shack rents bikes for $18 plus $8 per hour. James paid $74 to rent a bike. How many hours did he rent the bike?

7 hours

200

2x + 20 = 70

x = 25

200

-2  + x/-4 = 3

x = -20

200

-470 + 2n = 1100

add 470 to both sides

200

- 4(6x + 3) = 180

x = -8

200

Jenny buys a magazine for $5 and 3 pens. She spent a total of $14. How much does each pen cost?

$3.00

300

4x - 20 = 12

x = 8

300

1/2x - 2 = -15 

x = -26

300

4x - 9 = 27

add 9 to both sides

300

- 5(4x + 5) = 115

x = -7

300

Wahlert High School is selling tickets to a dance for $16 each. If the dance costs $1280 to put on, how many tickets must they sell in order to make their money back?

80 tickets

400

-39 = -5x + 11

x = 10

400

2x - 3/4 = 5/8

x = 11/16

400

3(2x + 4) = 6

divide both sides by 3

or

distribute 3 with 2x and with 4

400

- 3(-5x + 5) = 30

x = 3

400

Susan is selling her dish collection. She sold half of it to one lady and 4 more dishes to another lady. How many did she start with if she now has 16 dishes left?

40 dishes


500

-x + 14 = -87

x = 111

500

-2/3x + 4 = 16

x = -18

500

Explain how to distribute first in this equation and what the new equation will look like.

-5(2x + 3) = 25

Multiply -5 by 2x and by 3

-10x - 15 = 25

500

4(-2x + 9) = - 60

x = 12

500

Luke has 4 more cows than twice the number Mary has. If Luke has 32 cows, how many does Mary have?

14 cows