Multi-Step Equations
Variables on Both Sides
Simplifying Expressions
Word Problems
Random
100
2x + 3x - 10 = 15
x = 5
100
5n + 9 = 2n + 12
n = 1
100
3x + 2 - x + 4
2x + 6
100
What expression could represent the perimeter of a rectangle with a length of (20x + 8) and a width of (2x)
44x +16
100

A college has two classrooms of students. Classroom A had 70 students. Classroom B had 30 students. Classroom A sent groups of 4 students to Classroom B until both classrooms had the same number of students. The equation shown can be used to find the number of groups that Classroom A sent to Classroom B so each classroom had the same number of students. Write an equation that can represent this situation. 

70 - 4x = 30 + 4x

200
x - 3x + 1 + 5 = 8
x = -1
200
8y - 3 = 6y + 17
y = 10
200
-3x + 4y - 2y + 5x - 10
2x +2y -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, how many hours (h) did she rent a bike?
6 hours
200

Aquarium I contains 4.6 gallons of water. Louise will begin filling Aquarium I at a rate of 1.2 gallons per minute. Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallon per minute. After how many minutes will both aquariums contain the same amount of water?

What is 25 minutes?

300
4x + 2 - 7x - 10 = 4
x = -4
300
6x + 5 - 2x = 3x + 26
x = 21
300
3d + 18 = 18 - 3d
d=0
300
James bought a cheeseburger, fries and a drink 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, what was the price of the cheeseburger?
$7.50
300

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Write an equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria.

What is 2,500x+45,000=1,500x+54,000?

400
(3/4)x - 5 - (1/2)x = 3
x = 32
400
3x - 4 + 2x + 2 = 3x + 1
x = 3/2
400
10xy - x + 7y + 3x - 12y
10xy + 2x - 5y
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 and solve an equation to find h, the amount each hamburger cost.
h = $3.50
400

What is the solution to the following equation: 45,000 + 2,500x = 54,000 + 1,500x?

What is x = 9?

500
3x + 8 - 2x + x - 18 = 10
x = 10
500
(1/2)x + 3 = 5 - (3/2)x
x = 1
500
6xy + 2xz - 4xy + 5x - 7xz
2xy - 5xz + 5x
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 and solve an equation to find h, the number of hours that have passed.
5 hours
500

When solving equations, what is the tool we solve backwards to isolate our variables?

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