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 x + 2 ? Step 1: Combine the two terms of x 6x + 5x = 11x Step 2: Combine the two integers = 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 y 2 x y 2 = y 4 When you divide two exponents you subtract the powers Example x 3 ÷ x 2 = x