Vocab
Multi step
Simplifying
Writing Equations
One step
100

In an equation, which part can change?

Variables

100

3x+5x=64

x = 8

100

7(4y + 3) = 35

28y = 14

100

Jordan bought 3 movie tickets and 4 snacks. Each ticket costs $12, and the total was $86. How much does each snack cost?

3(12)+4x=66

100

1.5x = 15

x = 10

200

In an equation, which part stays the same?

Constants
200

5(a+2)−3a=14

a = 2 

200

5x + 6x = 60

x = 60

200

T-Mobile and Verizon are releasing their Black Friday sales. T-Mobile offers 7 gigabytes for only $480. Verizon offers 4 gigabytes for $360. Who has the better deal?

7x + 480 = 4x + 360

200

3/4x = 450

 x = 337.5

300

A combination of variables and constants but with no equal sign

Inequalities 

300

-10 - 5x = 55

x = -13

300

10(6y - 3) + 10(5y + 4) =  230

110y = 220

300

Lemonade stand A sells its leftover lemons for 8 dollars each. It ends the day with $230. Lemonade stand B sells its leftover lemons for 3 dollars each. It ends the day with $150. How many lemons did each stand sell?

8x - 230 = 3x - 150

300

1/49x = 10

x = 490

400

A combination of variables and constants

Equations

400

10x + 15 - 3x = 43

x = 4

400

9x + 2x - 11 = 44 

11x = 55

400

Ava earns $20 per hour babysitting plus a $15 bonus. If she earned $100 in total, how many hours did she work?

20h + 15 = 100

400

6x = 50.5 (round to nearest tenth)

x = 8.4

500

When you multiply the numbers inside the paraentheses by the number outside

Distributive Property

500

4x + 6 = 26

x = 5 

500

8x - 3(x - 2) = 20

5x = 14

500

Reggie buys 12 sweaters for each of his friends. He buys himself a mug for $4 and buys other essentials he needs. If his total was $240, how much did each sweater cost?

12x + 4 = 240

500

x/4 = 7

x = 28