1. Distributive Property & Combining Like Terms
SPI 6.3.4
I CAN rewrite expressions.

2. Examples of Unlike Terms:
Examples of Like Terms:

3. What are like terms?
Like terms because each term consists of a single variable, x, and a numeric coefficient:
2x, 45x, x, 0x, -26x, -x
Like terms because they are all constants:
15, -2, 27, 9043, 0.6
Like terms because they are all y² with a coefficient: 3y², y², -y², 26y²

4. What are unlike terms?
The following two terms both have a single variable, but the terms are not alike since different variables are used: 17x, 17z
Each y variable in the terms below has a different exponent, therefore these are unlike terms: 15y, 19y², 31y5
Although both terms below have an x variable, only one term has the y variable, thus these are not like terms either: 19x, 14xy

5. Distributive Property
Example:
6(a + 3) Use the Distributive Property
(6a) + (6 x 3) Multiply
6a Simplified
***CAN NOT add 6a + 18 together because they are not like terms.

6. Distributive Property
Step 1) Use the Distributive Property 3 (2x – 5) - 2x
Step 2) Combine Like Terms 6x – 15 – 2x
*** 6x and 2x are like terms!!!!
Step 3) Simplified Expression 4x – 15

7. Practice Problems
Simplify this expression:
4(n+ 6) + 3n?

8. Practice Problems Solve: 2x + 6(x + 1)
Explain how each of the below answers are wrong and why.
2x + 6x + 1 9x

9. Practice Problems What value of w makes the equation below true?
4w + 5w = 36

10. What happens when you add = 80 to the problem
Practice Problems
What happens when you add = 80 to the problem
What is the simplified form of the expression below?
(12z – 6z) + 3z + 8

11. Practice Problems Write the following expression in a different way.
(a x 7) + (a x 6) + 3
What’s wrong with this
answer?
45a