Polynomials

Adding & Subtracting

100

What is 

(8x²+7x-15)+(-4x²-10x+21)

in standard form?

4x²-3x+6

200

What is

(12x⁵-3x³+2x-10)+(-2x⁴-5x³+3x-10) 

in standard form?

12x⁵-2x⁴-8x³+5x-20

300

If f(x)=-3x+7 and g(x)=5x+10

what is f(x)+g(x)?

f(x)+g(x)=2x+17

400

If f(x)=3x+4 and g(x)=2x-7

what is g(x)-f(x)?

g(x)-f(x)=-x-11

500

What is 

(2x²y+5x²-10xy-7y²) +(7x²y-2x²-3xy)

in standard form?

9x²y+3x²-13xy-7y²

Multiplying

100

Multiply & put in standard form

6x²(-2x³+7x²+10)

-12x⁵+42x⁴+60x²

200

Multiply and put in standard form

-3x(6x³-4x+8)

-18x⁴+12x²-24x

300

Multiply and put in standard form

(3x+9)(3x-9)

9x²-81

400

Multiply and put in standard form

(2x+1)²

4x²+4x+1

500

Multiply and put in standard form

(4x-2)(3x²+7x+2)

12x³+22x²-6x-4

Factoring

100

Factor

6x³+21x²-3x

3x(2x²+7x-1)

200

Factor 

x²-5x-14

(x-7)(x+2)

300

Factor 

x²-9x+20

(x-4)(x-5)

400

Factor 

2x²+5x-3

(2x-1)(x+3)

500

Factor 

6x²-x-12

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

Area & Perimeter

100

What is the perimeter of a triangle if it's sides are: 

side 1: 4x+5

side 2: 2x-3

side 3: 3x²+x

3x²+7x+2

200

What is the perimeter of a rectangle 

Side 1: 3x+10

Side 2: x-2

4x+16

300

What is the area of a square with the side lengths 

2x+3

4x²+12x+9

400

What is the area of a rectangle 

Side 1: 3x-4

Side 2: 2x²+5

6x³-8x²+15x-20

500

What is the area of the border?

Large Square Side: 2x+7

Small Square Side: x-1

3x²+26x+50

Real World

100

Katie makes t-shirts. She pays $200 for the t-shirt press. Each shirt costs $4 but she sells each shirt for $10. 

What is the equation for how much Katie has to pay to make x shirts?

200+4x

200

Katie makes t-shirts. She pays $200 for the t-shirt press. Each shirt costs $4 but she sells each shirt for $10. 

What is the equation for Katie's total revenue for selling x shirts?

10x

300

Katie makes t-shirts. She pays $200 for the t-shirt press. Each shirt costs $4 but she sells each shirt for $10. 

What is the equation for how much Katie makes in profit if she sells x shirts?

6x-200

400

Katie makes t-shirts. She pays $200 for the t-shirt press. Each shirt costs $4 but she sells each shirt for $10. 

How much does Katie make if she sells 50 shirts?

$100

500

Explain what the term "closed" means with polynomials and what function are close and which are not.

Closed means that the function does not give a fraction as it's answer. 

Addition, subtraction, and multiplication are closed. Division is not.