Tonight’s Homework Find the PRIME FACTORIZATION of the following: 12, 16, 21, 26, 43, 45, 50, 88 Example: 28 = 2 x 2 x 7

Factoring Algebraic Expressions 7-1 Digits

What is the inverse of the distributive property?

Factor 10x² - 15 x Rewrite using the prime factorization Pull out the common factors and rewrite what’s left 25xx 35x 5x(2x – 3)

Factor: 28m + 49

How can we check that our solution is correctly factored?

Let’s Practice 1.) 2.) 3.) 4.) 5.)

You Try: Factor each expression. 1. 4x + 9x = = 3. 3n – 3 = p = 5. 18m² - 6m =

Grab your colored pencils!!!!!!

Combining Like Terms You are allowed to ADD and SUBTRACT like terms in order to simplify expressions. Example: 3x + 9y + 10x – 8 + 4xy 13x + 9y – 8 + 4xy

Be Careful of Subtraction 4x + 7y – x + 5y 3x + 12y

Turn and talk.. Which of the following have like terms that can be combined? 7xy – 10xy -5a + 8a 2y + 3x 12a + ab 6 – 4p n n

Let’s simplify the one’s with like terms. (Remember: the others all already in simplest form ) 7xy – 10xy -5a + 8a n n

Letting the original price of the candy be represented by x, write an algebraic expression that represents the new price of the candy. Then find an equivalent expression.

Freddie went out to eat and wanted to leave the waitress a 15% tip. Letting x represent the cost of the meal, write and algebraic expression that represents the total amount Freddie will pay for the meal including tip. Then find another equivalent expression.

Simplify the following.