How do we eliminate...
Factoring Quadratic Equations
No Extraneous: What is the value of x?
Extraneous: Which solutions are extraneous?
Systems of Equations
100

Division

What is multiplication?

What is multiply?

What is times?

100

x2 + 8x + 12 = 0

What is -2 or -6?

What is x = -2 or x = -6?

100

-3\sqrt{2x+5}+8=-7

What is x = 10?

What is 10?

100

\sqrt{-5x+14}=x

What is x = -7?

What is -7?

100

y=4x-9

y=x-3

What is (2, -1)

300

Square (power of 2)

What is square root?

What is radical?

300

x2 - 2x = 35

What is x = 7 or x = -5?

What is 7 or -5?

300

3(x-2)^2-11=16

What is x = 5 or x = -1?

What is 5 or -1?

300

5(x+4)^2-9=-29

What is no real solutions?

What is no solutions?

300

-8x-10y=24

6x+5y=2

What is (7, -8)?

500

Absolute Value

What is create two equations, one positive and one negative?

500

-1 = x2 - 2x

What is x = 1?

What is 1?

500

3|x+2|-1=8

What is x = 1 or x = -5?

What is 1 or -5?

500

|3x+2|=4x+5

What is x = -3?

What is -3?

500

Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 shirts, how many fancy shirts did she buy?

What is 2 fancy shirts?

700

Equations with denominators

What is multiply by a common denominator?

700

x2 + 20 = 9x

What is x = -4 or x = -5?

What is -4 or -5?

700

x/8+1/2=1/4

What is x = -2?

What is -2?

700

1/x+1/3=5/6

What is no solutions?

What is no solutions?

700

A class of 195 students went on a field trip. The class took 7 total vehicles, some cars and some buses. If each car holds 5 students and each bus holds 45 students, how many buses did the class ride on? 

What is 4 buses?

M
e
n
u