Algebra 2 Final Review

Quadratics Vocabulary

100

What is the y-intercept?

The point where the parabola crosses the y-axis.

200

What is the x-intercept?

The point or points where the parabola crosses the x-axis.

300

What is the vertex?

The highest or lowest point on the parabola.

400

What is the axis of symmetry?

An imaginary line that cuts the parabola in half.  This imaginary line goes through the vertex.

500

What is another name for the solution(s) of a parabola? 

X-intercepts or zeroes

Add & Subtract Polynomials

100

(x+4)+(x-7)

2x-3

200

Solve (3x² + 2x + 5) + (6x + 7)?

3x² -4x +12

300

(3x^3+5x-8)+

(4x^2-7x-11)

3x^3+4x^2-2x-19

400

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

-2x + 11

500

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

15x² - 29x -4

Multiplying Polynomials

100

How do you multiply polynomials? 

Multiply each term and combine

200

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

x² + 18x +72

300

Multiply (n + 3)²?

n² + 6n +9

400

Multiply (3x - 7)(3x + 7)?

9x^2-49

500

Multiply 

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

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

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

Simplify 

x^2*x^5

x^7

200

Simplify 

x^7/x^3

x^4

300

Rewrite using only positive exponents:

x^3*x^-8

1/x^5

400

Rewrite using only positive exponents:

x^3/x^11

1/x^8

500

Rewrite using only positive exponents:

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

1/x^5