Daeshaun and Javeah Midterm Review

Systems of Equations

100

What is a system of equations?

Two or more equations graphed or considered together.

200

What are the 3 methods to solving a system of equations?

Graphing, Substitution, Elimination.

300

x+y=2

3x-y=2

(0,2)

400

-x-4y=1

2x+y=5

(3,-1)

500

x+y+6

y=3x-2

(2,4)

Linear Equations

100

What is a linear function?

A line.

200

What is the equation of a linear function?

y=mx=b

300

Find the equation of a line whose slope is 3/2 that passes through (6,-4)

y=3/2x-13

400

Find the equation of a line that is parallel to y=4x+5 that passes through (3,6)

y=4x-6

500

Find the coordinates of: 5y=3x+5

(0,5)(-5/3,0)

Parent Functions and Quadratics

100

What is an extrema?

A minimum or maximum

200

What is a parent function?

The simplest of the functions in a family

300

What is a function family? 

A group of functions with similar characteristics

400

f(x)=3x-6

at x=3 and x=0

(3,3)(0,-6)

500

f(x)=-2x+1

at x=-1 and x=-5

(-5,11)(-1,3)

Factoring

100

Factor by GCF: 18x²y³+9x³y⁵

9x²y³(2+xy²)

200

Factor by Grouping: 3n²+9n+2n+6

3n²+11n+6

300

Factor By DOTS: 9x²-25

(3x+5)(3x-5)

400

Factor by Trinomial Factoring: 6x²+11x-10

(2x+5)(3x-2)

500

Factoring Special Products: 4+4b+b²

(2+b)²