1. 2.7 The Distributive Property

2. Simplify by using the Distributive Property
6 ( 3x )
6 ● 3x =
+ 6 ● 5 =
18x
+ 30

3. Simplify by using the Distributive Property
5 ● 2 =
+ 5 ● 7y =
+ 35y 10
= 35y + 10

4. Simplify by using the Distributive Property
-4 ( 8a )

5. Simplify by using the Distributive Property
-5(x – 3y +8z)

6. Simplify by using the Distributive Property
4( s – t + w ) 3

7. Simplify by using the Distributive Property
5( x – 3y + 8z) 6

8. Factoring
The reverse of multiplying
Factor out the greatest common factor (GCF) of all terms

9. Factor 5 x + 5 y
= 5(x + y)

10. Factor
9x y
= 9x + 9 (3y)
= 9 (x + 3y)

11. Factor
18a b
= 3(6a) + 3(7b)
= 3 (6a + 7b)

12. Factor
5x – 35y – 10

13. Try on your own… Factor
- 25y w + 5

14. What are these terms called?
What is a term?
Terms are separated by addition or subtraction
What are these terms called? x - 15 + 8y
coefficient
Variable term
Variable Term
Constant
Term

15. same VARIABLE and same EXPONENT
What are “like terms”?
same VARIABLE and same EXPONENT
2x + 5x z
NOT LIKE TERMS
LIKE TERMS

16. What are “like terms”? 3m + m - 20m w² + w NOT LIKE TERMS LIKE TERMS
same VARIABLE
and
same EXPONENT
3m + m m
w² + w
NOT LIKE TERMS
LIKE TERMS

17. Combine like terms
5x + 4x + 2x
add coefficients
= 11x

18. Combining Like Terms Change all subtraction to adding the opposite.
Combine like terms.
5x - (-9) + 2x + 7
= 5x x + 7
= 7x