1. Combining Like Terms and using the Distributive Property

2. Vocabulary
Expression – number sentence that does NOT have an equal sign Ex. 4x – 6x + 5
Coefficient - Number used to multiply a variable ex. 4x – 6x
Term – Each part of an expression, separated by a + or - sign Ex. 4x – 6x + 5
Like Term – Terms that have the same variable Ex. 4x – 6x
Constant – A specific value that does not change
Ex. 4x – 6x + 5

3. Review what are LIKE terms those who are “dressed” alike
5x – 6x
6y – 5x + 4y
-7m -8m – 9m2
-8 – 4 + 6t
y – 3y + 3

4. Combine LIKE terms
7m – 4m

5. Combine LIKE terms
-9r + 3r - 8

6. Combine LIKE terms
-m -8m + 3

7. Combine LIKE terms
-4 + 7g + 2

8. Combine LIKE terms
-6y + 4 – 3y -8

9. Combine LIKE terms
9 – n – 5n

10. The Distributive Property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
8( 5x – 3)

11. Solve the 2 expressions. What do you notice about the answers?
(3x 20) + (3 x 15)
3(20+15)
Solve the 2 expressions. What do you notice about the answers?

12. Distributive Property
To multiply a sum by a number, multiply each addend by the number outside the parenthesis
3(20+15) = 3x x 15
a(b+c) = a x b + a x c

13. Video

14. Generate an expression equivalent to 2(k + 7) using the distributive property.
2 · k + 2 · 7 2k + 14

15. Generate an expression equivalent to 9(x + 4) using the distributive property.
9 · x + 9 · 4 9x + 36

16. Generate an expression equivalent to -5(x - 4) using the distributive property.
-5 · x + -5 · -4 -5x + 20

17. Generate an expression equivalent to - 7(x+5) using the distributive property.

18. Generate an expression equivalent to 3(5r- 4) using the distributive property.

19. Generate an expression equivalent to -10(-4r- 9) using the distributive property.