Algebra 2 Honors Final Review

Fun With Quadratics

100

What are the x-intercepts of:

y=(x-2)(x+7)

(2, 0), (-7,0)

200

What is the vertex of

y=(x-4)^2+9

(4, 9)

300

What is the y-intercept of:

y=-x^2-4x-1

(0, -1)

400

What is the y-intercept of:

y=(x-2)(x+7)

(0, -14)

500

What are the x-intercepts of:

y=x^2+6x+8

(0, -4), (0, -2)

PolynomialArithmetic

100

Solve (3x² + 2x + 5) + (6x + 7)?

3x² -4x +12

200

Multiply (x + 6)(x + 12)?

x² + 18x +72

300

Solve: (x + 6) - (3x - 5)?

-2x + 11

400

Multiply 

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

2x^3-7x^2-5x+15

500

Solve (5x² - 24x +2) - (-10x² + 5x +6)?

15x² - 29x -4

Asymptotes

100

Find the vertical asymptote:

(-2x+8)/(x-1)

x=1

200

Find the vertical asymptote:

(x^2+x)/(-4x+8)

x=2

300

Find the horizontal asymptote:

(-2x+8)/(x-1)

y=-2

400

Find the vertical asymptote:

(x^2-5x+4)/(-4x)

x=0

500

Find the horizontal asymptote:

(x+4)/(-2x)

y=-1/2

Factoring & Completing the Square

100

Factor 

x^2+3x+2

(x+1)(x+2)

200

Factor 

x^2-6x+8

(x-4)(x-2)

300

Factor 

x^2+4x-32

(x+8)(x-4)

400

What number completes this square:

 x^2+10x+"_______" 

25

500

Complete this square:

x^2-16x "_______"

+64

Exponents & Roots

100

Rewrite using only positive exponents:

x^3*x^-8

1/x^5

200

Rewrite using only positive exponents:

x^3/x^11

1/x^8

300

Rewrite using only positive exponents:

((x^2)^-5*x^8)/x^3

1/x^5

400

Write in exponential form:

(root(3)x)^5

x^(5/3)

500

Write in exponential form:

1/((root(4)x)^3

x^(-3/4)