Algebra Unit

Solving equations

100

x+5=12

x = 7

200

w/-2 = -8

w = 16

300

-3t - 6 = -12

t = 2

400

2.9 = -1.9 + 0.6x

x = 8

500

(-5/6) = x/(-6) + (2/3)

x=9

Distributive property

100

Simplify 

2(6x +3)

12x + 6

200

Simplify

-3(0.5t - 9)

-1.5t + 27

300

Solve

8(m - 3) = 0

m = 3

400

Solve

1.2(5y - 3) = 6.6

y = 1.7

500

Solve 

1/3(m - 9) + (5/3)m = (2/3)

m = 11/6

Solving Inequalities

100

x+3 < 10

x < 7

200

4y−5 ≥ 11

y ≥ 4

300

−3x + 5 ≤ 2

x ≥ 1

400

-108 < -6(2 + 2p)

8 > p

500

2(v + 6) + 5(2v - 7) > 25

v > 4

Wildcard

100

Write an Equation and define your variable.

Sara is saving money to buy a new video game. She already has $20 and plans to save an additional $5 each week. The game costs $50. How many weeks would it take to buy the game?

x = weeks

20 + 5x = 50

200

When do you flip the sign of an inequality?

When you divide or multiply by a negative

300

What is Mr. Williams' favorite college football team?

Michigan Wolverines

400

How old is Mr. Williams?

25

500

In a lab, the temperature is currently 12 degrees Celsius. A heater is turned on and increases the temperature by 4 degrees every hour. However, due to a cooling vent, the temperature decreases by 1 degree every hour. If the desired temperature for the experiment is 30 degrees Celsius, how can you set up an equation to find out how many hours it will take to reach that temperature?

30 = 3x + 12