Equations

One & Two Step Equations

100

-9x = 72

x = -8

300

-3n - 8 = 7

n = -5

500

(n + 3)/4 = 7

n = 25

Multi-Step Equations

100

-5(x - 3) + 7x = 35

x = 10

300

12 + 3/5x -4 = 29

x = 35

500

34 = -2 + 9x + 16 + x

x = 2

Distributive Property

100

6(2x - 4) = 36

x = 5

300

-5(2x + 7) = -15

x = -2

500

1.5(r - 4) = 12

r = 12

X on Both Sides

100

8x = 180 + 6x

x = 90

300

8y + 10 = 4y + 2

y = -2

500

-2(x + 8) = 10x - 16

x = 0

Word Problems

100

Last weekend Mrs. Depinet went to Five Guys. She bought a drink, fries, and a cheeseburger. The drink cost $1.50 and the cheeseburger cost two times more than the fries. She spent a total of $13.50. How much were the fries and cheeseburger?

1.50 + f + 2f = 13.50

Fries = $4.00

Cheeseburger = $8.00

300

A group of three friends each order a combo meal which includes two slices of pizza and a drink. A drink costs $2.50. If the total bill of all the friends is $31.50, how much does 1 slice of pizza cost?

3(2p + 2.50) = 31.50

p = 4

One slice of pizza cost $4.00

500

A group of three friends went to the movies, and they each bought a ticket, two types of candy, and a popcorn. Tickets cost $5.00 each, and the popcorn cost four times as much as the candy. They spent a total of $51.00. How much did the popcorn and candy cost? 

3(5 + 2c + 4c) = 51

Candy = $2.00

Popcorn = $8.00

Special Cases

100

10x + 3 = 3 + 10x

Infinitely Many Solutions

300

10x + 2(x - 6) = 3(4x - 4)

All Real Numbers

500

2(9x - 6) = 6(3x - 2) + 2

No Solution