Unit 8 Review

Adding/Subtracting Polynomials

100

Add the following Polynomials 

(4x²-3x+11)+(x²+5x-1)

5x²+2x+10

200

Subtract

(7x²-6x+14)-(8x²+4x-4)

-x²-10x+18

300

Add and Write answer in Standard Form

(a⁶+9a¹⁰-11a³)+(7a³-4a⁶-a¹⁰)

8a¹⁰-3a⁶-4a³

400

Amaya is framing a painting that is a rectangle. The length is 2x²-3x+1 inches and the width is 5x+3 inches.

What is the perimeter of the frame?

4x²+4x+8 inches

500

(5a²-4)+(a²-2a+12)-(4a²-6a+8)

2a²+4a

Multiplying Polynomials

100

4a(2a-11)

8a²-44a

200

(3a-2)(6a+5)

18a²+3a-10

300

(4a+7)(9a²+2a-7)

36a³+71a²-14a-49

400

Solve for x:

2(4x+x²)-6=2x(x-4)+10

x=1

500

(m+2)[(m²+3m-6)+(m²-2m+4)]

2m³+5m²-4

Factoring Polynomails

100

Factor:

14x²y-21xy+35xy²

7xy(2x-3+5y)

200

Factor:

2x²-3xz-2xy+3yz

(2x-3z)(x-y)

300

Factor:

x²-2x-48

(x+6)(x-8)

400

Factor:

2y²-9y+3

Prime

500

Factor:

6x²-7x-5

(3x+5)(2x+1)

Special Products

100

Simplify

(x+5)(x-5)

x²-25

200

(2r+5t)²

4r²+20rt+25t²

300

Factor:

x²+12x+36

(x+6)²

400

Factor:

49a²-28a+4

(7a-2)²

500

Factor:

-3x²-12x-12

-3(x+2)²

Random

100

What is in the candy jar in Ms. Hogan's office?

M and Ms

200

What is the name/formula that matches the following information:

(a+b)(a-b)= 

Product of sum and differences/ difference of squares 

a²-b²

300

Name 2 methods we learned to multiply Polynomials

Horizontal method

Vertical Method

Box Method

FOILing

400

Compliment Ms. Hogan, Best Response wins

Answers will vary 

500

Solve the system:

x+y=10

x-y=18

(14,-4)