Fall Final Exam Review

Solving Systems

100

Solve the system by the substitution method. 

-4x-2y=-12

y=-6x+2

(-1, 8)

200

Solve the system by the elimination method. 

-6x+3y=12

-x-3y=-5

(-1, 2)

300

Solve the system by the elimination method. 

5x+10y=0

3x+5y=-2

(-4, 2)

400

Solve the system by the substitution method. 

-12x+3y=8

-4x+y=-3

No Solution

500

Solve the system by the elimination method. 

-7x-10y=-19

5x+9y=21

(-3, 4)

Exponents

100

Simplify the expression. Be sure to leave final answers with positive exponents only.

(8m³)(2mn)

16m⁴n

200

Simplify the expression. Be sure to leave final answers with positive exponents only. 

(4x^-3)(3xy²)

12y² / x²

300

Simplify the expression. Be sure to leave final answers with positive exponents only. 

(yx²)⁰

1

400

Simplify the expression. Be sure to leave final answers with positive exponents only. 

3y^-1 / y^-3

3y²

500

Simplify the expression. Be sure to leave final answers with positive exponents only. 

(2nm^-1)(m⁴n^-2)(2n³)

4n²m³

Polynomial Operations

100

Simplify the polynomial and write your answer in standard form.

(x+1)(x-3)

x²-2x-3

200

Simplify the polynomial and write your answer in standard form.

(7x+x⁴+10)-(9+7x-x⁴)

2x⁴+1

300

Simplify the polynomial and write your answer in standard form.

-2x⁴(6x²-12x+18)

-12x⁶+24x⁵-36x⁴

400

Simplify the polynomial and write your answer in standard form.

(2x+7)²

4x²+28x+49

500

Simplify the polynomial and write your answer in standard form.

(24x³-42x²-6x) / 6x

4x²-7x-1

Classifying Polynomials

100

Classify the polynomial by degree and number of terms.

3x+12

Linear, Binomial

200

Classify the polynomial by degree and number of terms.

24

Constant, Monomial

300

Classify the polynomial by degree and number of terms.

-7x²+4x+1

Quadratic, Trinomial

400

Classify the polynomial by degree and number of terms.

12x⁴

Quartic, Monomial

500

Classify the polynomial by degree and number of terms.

3x⁴-x³+5x²+x-7

Quartic, Polynomial