Two-Step Equations
Variables on Both Sides
Word Problems
100
2a + 10 = 16
a=3
100

5n + 9 = 2n + 12

what is n = 1

100

What expression could represent the perimeter of a rectangle with a length of (20x + 8) and a width of (2x)

what is 44x +16

200
3 - 10b = 23
b=-2
200

8y - 3 = 6y + 17

what is y = 10

200

On a beach trip, Lucy rents a bike from “Wheels by the Waves”, where they rent bikes for $12 plus $3 per hour. If Lucy spent $30, write an equation for how many hours (h) she rented a bike?

What is 3h + 12 = 30


300
-(1/2)x + 4 = 8
x = -8
300

6x + 5 - 2x = 3x + 26

what is x = 21

300

James bought a cheeseburger, fries for dinner. The cheeseburger was three times the price of the fries, and the drink and the fries were the same price. If the entire meal cost $12.50, write an equation to find the price of the cheeseburger?

What is 3x + x + x = 7.50

400
10 - (4/3)t = 2
t = 6
400

3x - 4 + 2x + 2 = 3x + 1

what is x = 3/2

400

While at the beach, Daniel buys lunch for his family from a food stand. He purchases one hot dog for $2.50 and 3 hamburgers. If he spent $13 total, write an equation to find h, the amount each hamburger cost.

what is 3h + 2.50 = 13
h = price of a hamburger

500
7x + 19 = 21
x = 2/7
500

(1/2)x + 3 = 5 - (3/2)x

what is x = 1

500

The water temperature at the beach started at 82 degrees, and it is rising 0.6 degrees each hour. If the water temperature is now 85 degrees, write an equation to find h, the number of hours that have passed. Solve the equation.

What is 0.6x + 82 = 85

what is 5 hours

M
e
n
u