Linear One Step
x - 7 = 93
x = 100
3 ( x - 5 ) = 18
x = 11
x^2 - 8x + 12 = 0
x1= 6, x2 = 2
Joe and Steve are saving money. Joe starts with $105 and saves $5 per week. Steve starts with $5 and saves $15 per week. After how many weeks do they have the same amount of money?
10 weeks
Square Root
A square root in equations is any number multiplied by itself
3 + p = 8
p = 5
5 ( x + 6 ) = 40
x = 2
2x^2 - x = 1
x1 = 1, x2 = -1/2
Mike and Sarah collect rocks. Together they collect 50 rocks. Mike collects 10 more rocks than Sarah. How many rocks did each of them collect
Mike collected 30 more rocks, Sarah collected 20 rocks
Linear Inequality
Replacing the equal sign with greater than or less than signs
-15 + n = -9
n = 6
x + 9 / 2
x = 1
4x^2 + 9 = -12x
x = -3/2
15 are girls
Slope Intercept Form
Linear Equation is y=mx+b
m + 4 = -12
m = -16
x - 15 / 4
x = 27
5x^2 = 7x + 6
x1= 2, x2 = -3/5
Kyle makes sandals at home. The sandal making tools cost $100 and he spends $10 on materials for each sandal. He sells each sandal for $30. How many sandals does he have to sell to break even
5 sandals ($150)
Quadratic Equations
m - 9 = - 13
32 = 8 ( x + 1 )
x = 3
x^2 - 1/2x - 3/16 = 0
x1 = 3/4, x2 = -1/4
Molly is throwing a beach ball party. She still needs to buy beach towels and beach balls. Towels are $3 each and beach balls are $4 each. She bought 10 items in total and it costs $34. How many beach balls did she get
4 beach balls
Discriminant
The value of the expression -b^2 - 4(a)(c) wil tell you how many and what type of solution the quadratic