Algebra 2

Systems of equation

100

y=2x+5

x=3 y=-1

200

-3x-3y=12

x=1 y=3

300

x+y(3x-2)=6

x=2

400

8x-6y=-24

x=3 y=0

500

5x+7y=70

x=14 y=10

Linear Equations

100

f(x)=5(x-12)²-17

What is the AOS?

x=5

200

f(x)=-1(x-7)²+10

What is the axis of symmetry?

x=7

300

f(x)=2(x-2)²+5

What is the vertex?

(2,5)

400

y=1(x+3)²-4

What is the vertex?

(-3,-4)

500

y=-1(x-1)²+4

Does it open up or down?

Opens down

Quadratic Parent functions

100

What is the formula of a quadratic equation?

ax²+bx+c

200

f(x)=-x²-14x+36

Solve for y

y=85

300

f(x)=x²+2x+3

Find the Axis of Symmetry and Vertex.

AOS: -1

Vertex: f(-1)=(-1)²+2(-1)+3

400

f(x)=-x²+18x-75

Find the y intercept

y=6

500

f(x)=x²+4x+1

find the y intercept

y=13

Factoring

100

What is the GCF of 36 and 48?

The GCF is 12.

200

(5x+8) (5x+3)

Foil. Find the standard form.

25x²+55x+24

300

p²+14p+48

Find B and C.

(p+8) (p+6)

400

6x²+11x-10

Find (ax+b) (ax-b) 

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

500

3x²+18+27

Find a(ax+b) (ax+b)

3(x+3)(x+3)