Linear Equations (8th Grade)

Word Problems

100

Sarah works at T-Mobile and gets paid $400 a week in addition to $40 for each cell phone plan she sells. If she made $560 last week, how many cell phone plans did she sell?

560 = 40x + 400

x= 4 cell phone plans

200

Josh can rent a car for $25 a day and an $80 dollar fee for insurance. If his total bill was $230, how many days did he rent the car? Write an equation to represent the situation and then solve.

230 = 25x + 80

x = 6 days

300

Aliyah had $26 to spend on five pens. After buying them she had $16. How much did each pen cost?

$2

400

Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $24?

$40

500

Tree A was was 2 feet when planted and grew 4 feet per year. Tree B was 6 feet when planted and grew 2 feet a year. When will the two trees be the same height? Write and equation to represent the situation and then solve.

2 + 4x = 6 + 2x

x= 2 years

Solving 2-Step Equations

100

2x + 11 =31

x = 10

200

-4x - 9 = -21

x=3

300

5x - (-3) = -7

x = -2

400

x/2 +4=12

x=16

500

x/3 - 5 = -2

x=9

Solving Multi-Step Equations

100

4(x+10) = 48

x=2

200

-5(x-9) = 35

x = 2

300

(x+6)/4=12

x = 42

400

-4x + 6 -3x = -8

x=2

500

-3(4x + 5) + 2x = -65

x=5

Solving Multi-step Equations

100

12x+5 = 6x+17

x = 2

200

10 - x = x+2(x-5)

x = 5

300

1/2(18x - 8) = 6x- 13

x = -3

400

3(2x+4) = 5(3x - 3)

x = 3

500

2x + x - 9 = -2x + 11x - 2x -21

x = 3