Monomials, Binomials, Polynomials Oh My!

Terms and Rules

100

These are monomials that have the same variables to the same power.

What are like terms

200

The number 7 or 52 are considered this type of term.

What is a Constant

300

When multiplying x⁴ and x³ we must remember to do this to the exponents.

What is add them

400

The reason we cannot add 4x² and 3y² is because:

What is they do not have the same variable.

500

These are number parts (including the signs) of each term:  8x; -2y or 7w

What are coefficients

Adding/Subtracting

100

Please add 2x and 7x

What is 9x

200

Please subtract 0.67y - 0.33y

What is 0.34y

300

Please combine the following:

4a + 5 - 5a + 4

What is -a + 9

400

Please combine:

5x + 6x -2z + 10y - 10y 

What is 11x - 2z

500

Please combine:

(a² + a - 4) + (5a² + 7a + 1) 

What is 6a² + 8a - 3

Distributive Property

100

This mathematical operation is done throughout each term using the distributive property.

What is multiplication

200

Please distribute the following:

2(x - 7)

What is:

2x - 14

300

Please distribute:

-1(-x - 10)

What is:

x + 10

400

Please distribute the following:

-4(-x + 3m - 1)

What is:

4x - 12m + 4

500

Please distribute:

5x²(x³ - 4x)

What is: 5x⁵ - 20x³

Simplifying Binomials

100

The easiest way to simplify expressions is to do this?

What is: combine like terms

200

Please combine the following:

(4a + 8b) + (11a - 10b)

What is:

15a - 2b

300

Fill in the missing factors:

9( ___ + ___) = 9x + 18

What is:

x and 2

400

Please combine the following polynomials:

(5x - 3x + 2xy) - (31x - 18xy)

What is:

-29x + 20xy

500

Simplify the following:

4x²(x - 2) + 6x²(x + 4)

What is:

10x³ + 16x²

Binomial x Binomial

100

Other than the FOIL method, this method is used to multipy binomials.

What is:

The Box Method

200

Please use the box method to multiply the following:

(x + 3)(x + 2)

What is:

x² + 5x + 6

300

Please multiply the following binomials:

(2x - 3)(4x + 5)

What is:

8x² - 2x - 15

400

Please multiply the following binomials:

(3a + 2b)(a - 7b)

What is:

3a² - 19a - 14b²

500

Please multiply the following:

(x + 5y)²

What is:

x² + 10xy + 25y²