Math 2 Unit 1 Exam

Adding and Subtracting Polynomials

100

Add: (2x+5) + (8x-3) 

10x+2

200

Subract: (9y-6)- (3y+2) 

6y-8

300

Subtract: (a³-2a²)-(3a²-4a³⁾

5a³-5a²

400

Add: (2x²+6x+5) + (3x²-2x-1)

5x²+4x+4

500

Add: (x²-x+5) + (6x²+2x-10)

7x²+x-5

Degree & Terms/Standard Form

100

What is the degree? 6y⁷

7

200

Classify the degree by its name: 4x²

quadratic 

300

Write in standard form: 4x+10x³-4

10x³+4x-4

400

Name the degree: x⁴-7x⁴-6x⁵-4

Quintic 

500

Write in standard form, classify by degree, AND classify by term: 7-8x+4x⁴

Standard form: 4x⁴-8x+7, Quartic, Trinomial 

Multiplying Binomials/Polynomials/Special Cases

100

Multiply using the area box method: (x+3)(x+6) 

x²+9x+18

200

Multiply using the FOIL method: (2x+3) (4x-1)

8x²+10x-3

300

Multiply: (5x-2)²

25x²-20x+4

400

Multiply using any method: (x-7)(6x-3)

6x²-45x+21

500

A beige square quilt has an orange square in the center. The length of the orange square is x ft. The length of the beige quilt is (x-3). What is the area of the beige part of the quilt? 

-6x+9

GCF

100

Factor out the GCF: 2g²+10

2(g²+5) 

200

Factor out the GCF: 12x³+18x 

6x (2x²+3)

300

Factor out the GCF: 3y⁴+6y³+12y²

3y²(y²+2y+4)

400

Factor out the GCF of: 12y³-15y²+6y

3y(4y²-5y+2)

500

Factor out the GCF: 14j¹⁰-42j⁷-7j⁶-21j

7j(2j⁹-6j⁶-1j⁵-3)

Factoring Trinomials

100

What are the first 2 things to consider before factoring trinomials when a>1? 

1.Is it in standard form? 

2.Can I factor out anything else? (GCF) 

200

Label the "snowflake" (a,b,c) 

On top middle: AxC

Bottom Middle: B 

Sides top: A , A

300

Factor the trinomial: 3p²-2p-5

(p+1)(3p-5) 

400

Factor the trinomial: x²-13x+40

(x-5)(x-8)

500

Factor the trinomial: 6x²-16x+8

2(1x-2)(3x-2)