What is Combining Like Terms? Lets break it down

Combining-To put together Like- Similar Terms- Numbers or letters that are

separated by an operational sign ( +, -, x, ÷)

Types of Terms

Expression- a combination of terms separated by + or – or both

Monomial- An expression with only a single Term without an operation sign.

Binomial- An expression containing two terms

Trinomial- An expression containing three terms

Polynomial- An expression containing more than three terms

Turn to your neighbor and come up with two examples of monomials, binomials, trinomials, and polynomials.

Combining Like Terms

How do we simplify 6x + 4 + 5x + 2 ? Step 1: Combine the two terms of x

6x + 5x = 11x Step 2: Combine the two integers

4 + 2 = 6 Our expression can be simplified to 11x

+ 6

Combining Like Terms

Simplify the following expressions

8x + 9y +2x - 4y

(5+4x) + 7 If there are no like terms inside the

parenthesis, dissolve them and simplify

Multiplying and Dividing Exponents When you multiply two exponents

together you add the powers together Example y2 x y2 = y4

When you divide two exponents you subtract the powers Example x3 ÷ x2 = x