Yvette and Emmere's Midterm Review

Systems of Equation

100

4x+ 8y=20

-4x+2y=-30

(7,-1)

200

x-2y=4

y=1/2x

300

-2x-9=-25

-1(-4x-9) = (-23)-1

(-1,3)

400

2x+y=7

x-2y=6

(4, -1)

500

9x+y=101

7x-y=59

(10,11)

Linear Equations

100

parallel to y=4x+2 through (-2,3)

y=4x+5

200

Perpendicular to 3x+2y=5 through (-2, -3)

-5/3

300

through (2,9) and (8,6)

y=-1/2x +10

400

Parallel to y=3x-4, through (1, 5)

y=3x+2

500

Perpendicular to 5/2 goes through (-3,6)

y=-2/5x -24/5

Parent functions and Quadratics

100

What are the four parent functions?

1. Absolute Value

2. Linear

3. Square Root

4. Quadratics

200

what is the parent function of this equation?

f(x)=5(x-1)²

y=x²

300

what is the formula for quadratic equations? 

f(x)=a(x-h)²+k

400

Identify the Axis of Symmetry, Vertex and Y-intercept

y=x²+2x+6

aos:-1

vertex:(-1,5)

y-int: (0,6)

500

Identify the Axis of Symmetry, Vertex and Y-intercept

y=x²⁺6+10

aos: -3

vertex: (-3, 1)

y-int:(0,10)

Factoring

100

factor using difference of squares:

126x²-4

(14x+2) (14x-2)

200

solve the common factors:

64x²-81

(8x+9) (8x-9)

300

factor using difference of squares:

(169x²-36)

(13x+6) (13x-6)

400

factor the following perfect square trinomials:

4x²-44x-121

(2x+11) (2x-11)

500

Factor the following perfect square trinomials:

36x²-144x+9

(36x+3) (36x-3)