Solving Equations Review

How do we eliminate...

100

Division

What is multiplication?

What is multiply?

What is times?

300

Square (power of 2)

What is square root?

What is radical?

500

Absolute Value

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

700

Equations with denominators

What is multiply by a common denominator?

Factoring Quadratic Equations

100

x² + 8x + 12 = 0

What is -2 or -6?

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

300

x² - 2x = 35

What is x = 7 or x = -5?

What is 7 or -5?

500

-1 = x² - 2x

What is x = 1?

What is 1?

700

x² + 20 = 9x

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

What is -4 or -5?

No Extraneous: What is the value of x?

100

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

What is x = 10?

What is 10?

300

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

What is x = 5 or x = -1?

What is 5 or -1?

500

3|x+2|-1=8

What is x = 1 or x = -5?

What is 1 or -5?

700

x/8+1/2=1/4

What is x = -2?

What is -2?

Extraneous: Which solutions are extraneous?

100

\sqrt{-5x+14}=x

What is x = -7?

What is -7?

300

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

What is no real solutions?

What is no solutions?

500

|3x+2|=4x+5

What is x = -3?

What is -3?

700

1/x+1/3=5/6

What is no solutions?

What is no solutions?

Systems of Equations

100

y=4x-9

y=x-3

What is (2, -1)

300

-8x-10y=24

6x+5y=2

What is (7, -8)?

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

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?