Two-Step Equations
Multi-Step Equations
Variables on Both Sides
Variables on both sides WITH special cases
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 = 3( x + 4)

No Solution

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

7(x + 3) - 2x  = 2x + 3(x + 7) 

All real Numbers

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
-(1/2)x + 4 = 8
x = -8
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
400
10 - (4/3)t = 2
t = 6
400
(3/4)x - 5 - (1/2)x = 3
x = 32
400
3x - 4 + 2x + 2 = 3x + 1
x = 3/2
400

0.5x + 3x = 3.5x + 5

No Solution

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
7x + 19 = 21
x = 2/7
500
3x + 8 - 2x + x - 18 = 10
x = 10
500
(1/2)x + 3 = 5 - (3/2)x
x = 1
500

4(x + 5) - 2(x+20) = 2x

All Real Numbers

500

The water temperature at the beach started at 82 degrees, and it is rising 0.6 degrees each hour. The water temperature at the pool started at 75 degrees and is rising 2 degrees each hour. After how many hours will they be the same temperature?

5 hours

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