Unit 1 Test Review

Adding/Subtracting Polynomials

100

Add the following polynomials:

(x²+2x-4) + (-3x+2)

x²-x-2

200

Add the following polynomials:

(x²+2x) + (2x²+3x +3)

3x² +5x +3

300

Add the following polynomials:

(2x³+4x+5) + (x²+2x-4)

2x³+x²+6x+1

400

Subtract the following polynomials:

(2x³+4x+5) - (x²+2x-4)

2x³ -x² +2x +9

500

Subtract the following polynomials:

(x²-3x+4) - (-3x²-2x-4) - (x³+ 2x² - x) 

-x³+2x²+8

Multiplying Polynomials

100

Multiply the following polynomials: 

(2x+2)(x+3)

2x² +8x +6

200

Multiply the following polynomials: 

(2x+3y)²

4x²+12xy+9y²

300

Multiply the following polynomials: 

(x+2)(-x² -2x +1)

-x³ -4x² -3x +2

400

Multiply and write in standard form.

(3x+y)(x-2)²

3x³-12x²+x²y+12x-4xy+4y

500

Multiply the following polynomials: 

(-x²+4x+8)(x² +x +1)

-x⁴+3x³+11x²+12x+8

Polynomial Division

100

Dividing the polynomials. 

(-12x^4y+4x^3-8x^2y^2):(-4x^2)

3x^2y-x+2y^2

200

Divide the polynomial:

(34m³n² – 51m²n³) ÷ 17mn

2m²n – 3mn²

300

Divide. Write your answer in the form Q+ R/D

(12x3 + 15x2 + 11x + 17) / (x + 1)

12x2 + 3x + 8 + 9/(x + 1)

400

Divide. Write your answer in the form Q+ R/D

(2x^3 - 9x + 5) / (x - 2)

2x^2 + 4x - 1 + 3/(x - 2)

500

Divide using long division. Write your answer in the form Q+ R/D

(2x^4-3x^2-6x+3)/(x^2-3x+3)

2x^2+3x+3+(-6x-6)/(x^2-3x+3)

Laws of Exponents

100

Simplify the following and write your answer using only positive exponents

(12x^4* x^(-7))/2

6/x^3

200

Simplify the following. Write your answer using only positive exponents.

(x^2y^-5)/(xy^3)

x/y^8

300

Simplify the following. Write your answer using only positive exponents. 

(4x^-2yz^3)^2

(16y^2z^6)/x^4

400

Simplify the following. Write your answer using only positive exponents. 

((-6^2 a^3 b)/(b^2))^-1

- b/(36 a^3 

500

Simplify the following. Write your answer using only positive exponents. 

((5x^2y^-2z^0)^-2)/(xy^2(2x^-3yz)

y^4/(200xz^3)