Two-Step Equations
Multi-Step Equations
Variables on Both Sides
Simplifying Expressions
Word Problems
100
2a + 10 = 16
a=3
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
200
3 - 10b = 23
b=-2
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
300

7x + 19 = 21

x = 2/7

300
4x + 2 - 7x - 10 = 4
x = -4
300

6x + 5 - 2x = 4x + 7 - 2

Infinite Solutions

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
400

-(1/2)x + 4 = 8

x = -8

400

5 ( x - 3 ) + 4x + 5 = 71

x = 9

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
500

10 - (4/3)t = 2

t = 6

500

3x + 8 - 2x + x - 18 = 10

x = 10

500

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

No Solution

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
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