Bellwork 9/14 Finish Worksheet 2.4 and 2.5 Take Quiz 2-1

Today’s Objective To be able to apply the rules for adding and subtracting to expressions with variables. Combine Like Terms Use the Distributive Property

Like Terms You are about to see a pair of numbers that may or may not be like terms. Based on the results, determine the rules for like terms.

Like Terms Yes = No = 3 5 -5 3

Like Terms -3 -5 3 x 3x 5x

Like Terms 3x 5y 3y 5y 2 3x 5x

Write down any relationships that you noticed

Like Terms 2 2 3x 5y 2 2 3y 5y 2 2 3x 5x

Like Terms 2 3 3x 5x 5 5 3y 5y 3 3 3x 5x

Now you determine -3x 3x 3y 3x 2 4x 4x

Combine Like Terms Write a pair of like terms: 1.) Without variables 2.) With Variables 3.) With Variables and Exponents

A Box of Socks

What are the Rules for Like Terms 1.) They must have the same Variable. 2.) They must have the same Exponent

The Rules for algebra apply to all Like Terms... Ex.. 3x + 4x 7x Combine Like Terms The Rules for algebra apply to all Like Terms... Ex.. 3x + 4x 7x

Combine Like Terms Example 1 3x + 6 + 5x 3x + 5x + 6 8x + 6

Example 2 3x + 2y + 2x + 2 3x + 2x + 2y + 2 5x + 2y + 2 Combine Like Terms Example 2 3x + 2y + 2x + 2 3x + 2x + 2y + 2 5x + 2y + 2

Example 3 3x2 + 2x + 2x2 + 2 3x2 + 2x2 + 2x + 2 5x2 + 2x + 2 Combine Like Terms Example 3 3x2 + 2x + 2x2 + 2 3x2 + 2x2 + 2x + 2 5x2 + 2x + 2

Distributive Property Find the Area of the Rectangle 3 x 6 2x 2 2 • 3 + 2 • x = 6 + 2x

Distributive Property Find the Area of the Rectangle 3 x 6 2x 2 2 (3 + x) = 2 • 3 + 2 • x 6 + 2x

So……. 2 • 3 + 2 • x = 6 + 2x 2 (3 + x) = 6 + 2x Therefore ….

Use the distributive Property to simplify the following 1.) 3(4 + x) 2.) -2(3 + x) 3.) 5(x - 7) 4.) 2(x - 3) + 4 5.) x(2 + 6x) - 3 1.) 12 + 3x 2.) -6 -2x 3.) 5x - 35 4.) 2x -2 5.) 2x +6x2 - 3

1.) 3(x + 2) = 3x + 2 3(x + 2) = 3x + 6 2.) (x + 4)5 = x + 20 Find the Mistake 1.) 3(x + 2) = 3x + 2 3(x + 2) = 3x + 6 2.) (x + 4)5 = x + 20 (x + 4)5 = 5x + 20

3.) 4(x - 6) = 4x + 24 4(x - 6) = 4x - 24 4.) 2(6 - x) = 12 - x Find the Mistake 3.) 4(x - 6) = 4x + 24 4(x - 6) = 4x - 24 4.) 2(6 - x) = 12 - x 2(6 - x) = 12 - 2x

5.) 3(x + 5) = 3x + 8 3(x + 5) = 3x + 15 6.) -2 + x + 6 = 4x Find the Mistake 5.) 3(x + 5) = 3x + 8 3(x + 5) = 3x + 15 6.) -2 + x + 6 = 4x -2 + x + 6 = x + 4

Classwork Do worksheet 2.6 Homework pg 98 (1-46 ev) and 53 Ex. Credit #67