Midterm Review Project

Factoring

100

What does GCF stand for?

Greatest Common Factor

200

Find the GCF of 4y, 5y.

y

300

Factor by GCF: 18x²y³+9x³y⁵

xy²

400

Factor by grouping: x³-x²+2x-2

(x²+2) (x-1)

500

15mz+10nz-6my-4ny

(5z-2y) (3m+2n)

Linear Equations

100

What is the general equation of a linear function?

y=mx+b

200

What does m, b, and x stand for?

m: slope

b: y-intercept

x: x-coordinate 

300

Evaluate f(x)=3x-6 at x=3 and x=0

f(0)=-6

400

Define piecewise functions

A function defined by two or more expressions depending on the x value.

500

(2x – 10)/2 = 3(x – 1)

x = -1

Systems of the Equations

100

What are the three methods of solving a system?

graphing, substitution, and elimination.

200

The point is a solution. True or False?

True

300

Find the intersection points 

{x+y=2

{3x-y=-2

(0,2)

400

Solve by substitution:

{x+y=-1

{y=x+5

(-3,2)

500

Solve this system by elimination:

{2x+y=7

{x-2y=6

(4,-1)

Parent Functions and Quadratics

100

What's the equation for a Quadratic Parent Function?

f (x) = x² 

200

Reflect across the X- Axis: f(x)=x² 

g (x)= -x²

300

What are the four parent functions? 

Linear, Absoloute Value, Quadratic, Sqaure Root 

400

What type of parent function is this equation? h(x)=  √ x + 4  

Sqaure Root 

500

What's the transformation? g(x)=x²-6

6