Vocab
In an equation, which part can change?
Variables
3x+5x=64
x = 8
7(4y + 3) = 35
28y = 14
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
1.5x = 15
x = 10
In an equation, which part stays the same?
5(a+2)−3a=14
a = 2
5x + 6x = 60
x = 60
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
3/4x = 450
x = 337.5
A combination of variables and constants but with no equal sign
Inequalities
-10 - 5x = 55
x = -13
10(6y - 3) + 10(5y + 4) = 230
110y = 220
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
1/49x = 10
x = 490
A combination of variables and constants
Equations
10x + 15 - 3x = 43
x = 4
9x + 2x - 11 = 44
11x = 55
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
6x = 50.5 (round to nearest tenth)
x = 8.4
When you multiply the numbers inside the paraentheses by the number outside
Distributive Property
4x + 6 = 26
x = 5
8x - 3(x - 2) = 20
5x = 14
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
x/4 = 7
x = 28