Equations Review

1-Step Equations

100

x + 3 = 79

x = 76

200

x + (-9) = 15

x = 24

300

10x = -80

x = -8

400

4.75x = 52.25

x = 11

500

3/4x = 7

x = 9.33

2- and 3-Step Equations

100

3x - 5 = 4

x = 3

200

-2x + 5 = 19

x = -7

300

-4 + 3x + 2 = 52

x = 18

400

-1 − 4x = 80

x = -20

500

x - 2 / 7 = 5

x = 37

Distributive Property

100

2(x - 7)

2x - 14

200

3(x + 4) + 6

3x + 18

300

7(x – 8) = 14

x = 10

400

-10(x + 2) + 3 = 73

x = -9

500

-4(2x − 1) + 5 = 81

x = -9

Variables on Both Sides

100

4x = 28 − 3x

x = 4

200

2x = -x − 9

x = -3

300

−12 − 4x = 4 − 2x

x = -8

400

4 + 6x = −3 + 7x

x = 7

500

−16 + 3x = −8 − 5x

x = 1

Word Problems

100

Write an equation: 8 less than some number is 25

x - 8 = 25

200

Write an equation: If 5 is subtracted from twice a variable, the difference is 13.

2x - 5 = 13

300

Benny bought a soft drink for 4 dollars and 8 candy bars. He spent a total of 20 dollars. How much did each candy bar cost?

Each candy bar cost $2.

400

On Monday, 324 students went on a trip to the zoo. All 7 buses were filled and 9 students had to travel in cars. How many students were in each bus?

There were 45 students on each bus.

500

Jake received three as much in tips than he usually does while working at The Pancake House this weekend. He spent $14 at Starbucks on his way home. He had $146 remaining. How much does he usually make in tips?

Jake made $53.33 in tips.