Algebra 2 Final Exam Review

Exponents

100

(x⁵y² )(x²y⁴)

x⁷y⁶

200

(9x⁵)⁰

1

300

(x^-2y³)⁴

y¹²/x⁸

400

2x⁴y⁷(5xy⁸)

10x⁵y¹⁵

500

(-3x⁵y^-9)^-1

y⁹/-3x⁵

System of Equations

100

Is (0,1) a solution to the system of equations:

y= - x+5

y = 2x - 1

NO

200

Is (3,1) a solution to the following system of equations?

y=-x+4

y=2x-5

YES

300

Is (-6, -2) a solution to the system of equations: 

y= - x - 8

2y  - 2 =1x

YES

400

Is (-5, 1) a solution to the following system of equations?

y= x - 6

y= -3 x - 2

NO

500

When graphed, what should a system of equations look like when there is NO SOLUTION.

Two lines should be parallel. 

Simplify Polynomials

100

Simplify:

(10x² - x +1)   - (9x -2)

10x² -10x+3

200

Simplify:

(-7x² -10x - 6)+(-3x²+x)

-10x² -9x -6

300

Multiply: 

(3x+4)(2x+1)

6x²+8x+4

400

Multiply: 

(2x-1)(2x+1)

4x² - 1

500

Simplify: 

(2x+1)²

4x²+4x+1

Factoring

100

Factor:

x²-6x-27

(x+3)(x-9)

200

Factor:

x²+13x+30

(x+3)(x+10)

300

Factor:

x² - 49

(x+7)(x-7)

400

Factor: 2x²   + 8x

2x(x+4)

500

Factor: 

2x² +7x -9

(2x+9)(x-1)

Functions

100

Given g(x) = - x+4

what is g(3)

1

200

Given g(x)= -3x +3

What is g(-2) ? 

9

300

Given g(x)= 3x² -2x

What is g(4) ? 

40

400

Given g(x) = x+ 2

and f(x)= x-1

What is g(f(8))? 

9

500

Given g(x) = x+1

and f(x) = 7x - 2

What is f(g(x))?

7x + 5