Two-Step Equations
Multi-Step Equations
Variables on Both Sides
Simplifying Expressions
Word Problems
100

5a + 10 = 35

a=5

100

3x + 4x - 10 = 11

x = 3

100

7n - 7 = 2n + 28

n = 7

100

7x + 2 - 3x + 7

4x + 9

100

What expression could represent the perimeter of a rectangle with a length of (5x + 8) and a width of (2x)

14x +16

200

10 - 7b = 31

b=-3

200

x - 4x + 1 + 6 = 16

x = -3

200

9y - 3 = 3y + 15

y = 3

200

-6x + 6y - 2y + 5x - 10

-1x +4y -10

200

On a beach trip, Lucy rents a bike from “Wheels by the Waves”, where they rent bikes for $10 plus $4 per hour. If Lucy spent $34, how many hours (h) did she rent a bike?

6 hours

300

-(1/2)x + 2 = 6

x = -8

300

5x + 2 - 7x - 10 = 4

x = -6

300

7x + 2 - 2x = -3x + 26

x = 3

300

5d + 10 = 10 - 5d

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 $15.00, what was the price of the cheeseburger?

$9.00

400

4 - (1/3)t = 10

t = -18

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

500

3x + 12 = 28

x = 16/3

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