Polynomial Review

Monomials

100

Simplify: (2x)(2x+3)

What is 4x²+6x?

200

Simplify: (5xy)(2x+3y+1)

What is 10x²y+15xy²+5xy?

300

Simplify: (2ab³)(a+2b+3c)

What is 2a²b³+4ab⁴+6ab³c?

400

Simplify: (-3x)(4x²-x+3)

What is -12x³+3x²-9x?

500

Simplify: (5x⁰)(6x³-3x²+5x-1)

What is 30x³-15x²+25x-5?

Binomials

100

Simplify: (x+1)(x+2)

What is x²+3x+2?

200

Simplify:(x-2)(x+2)

What is x²-4?

300

Simplify: (b+3)²

What is b²+6b+9?

400

Simplify: (3q-4)(2q²-2q+3)

What is 6q³-14q²+17q-12?

500

Simplify: (2a+3)(3a³-4a²+a-2)

What is 6a⁴+a³-10a²-a-6?

Mixed Review

100

Solve for b:

4b-8>=6b+4

What is 

b<=-6?

200

The value of 4x²+2y when x=2 and y=3.

What is 22?

300

The range of the function f(x)=3x+1 when the domain is {1, 3, 5}.

What is {4, 10, 16}?

400

Simplify:

(12x^5y^3)/(3x^2y)

What is 

4x^3y^2?

500

Simplify:

(2x^-2)^2

What is 

4/x^4?

Add/SubtractPolynomials

100

Simplify:

(x+2)+(x+3)

What is 2x+5?

200

Simplify:

(2y+6)-(y+4)

What is y+2?

300

Simplify: 

(2x^2-6x+7)-(5x^2-8x+3)

What is

-3x^2+2x+4?

400

Simplify:

(4q^3+8q^2-q)+(2q^2-5q+3)+(q^2+2)

What is 4q³+11q²-6q+5?

500

Simplify:

(3x²-2x+5)+(4x²-5x+2)-(2x²-x+1)

What is 5x²-6x+6?

Mixed Polynomials

100

Simplify: 2(x+1)+3(2x+2)

What is 8x+8?

200

Simplify: 3q(2q+3)-2q(q-1)

What is 4q²+11q?

300

The perimeter of a rectangle that has a width of x+3 and a length of 2x-1.

What is 6x+4?

400

The area of a rectangle that has a width of 3x+1 and a length of 2x+3?

What is 6x²+11x+3?

500

The perimeter of a triangle with a side 3x+3 long, a second side 4x+4 long, and its final side 2x+1 long.

What is 9x+8?