1. Homework: Distributive WS
Math CC7/8 – Oct. 4
Things Needed Today (TNT):
Math Notebook/Pencil
A.N Learning Log:
Topic: Distributive Property
Homework: Distributive WS

2. What’s Happening? Warm Up Accentuate the Negative (A.N)
Distributive Property

3. Warm-Up
1 minute
WRITE down each problem & SOLVE
Show ALL your work & THINKING
End
Solve the following problem using Order of Operations. SHOW ALL WORK
3 + 4 • 5 ÷ 2 • 3 – ÷ 3

4. 3 + 4 • 5 ÷ 2 • 3 – ÷ 3
3 + 4 • 5 ÷ 2 •3 – ÷ 3
÷ 2 •3 – ÷ 3
•3 – ÷ 3
– ÷ 3
33 –
-16 +2
-14

6. The Distributive Property
The process of distributing the number on the outside of the parentheses to each term on the inside.
a(b + c) = ab + ac and (b + c) a = ba + ca
a(b - c) = ab - ac and (b - c) a = ba - ca
Example #1
5(x + 7)
5 • x + 5 • 7
5x + 35

7. Distributive Property – 2 Forms
Lesson 4.2
Factored Form: Expanded Form: -3(4 + 8) = (-3 • 4) + (-3 • 8) -2(n + 6) = (-2 • n) + (-2 • 6) How can we go from factored form to expanded form? How can we go from expanded form to factored form?

8. Use the Distributive Property to expand each expression
1.) -5(3 + 2) =
(-5 • 3) + (-5 • 2)
2.) -5(3 – 2) =
(-5 • 3) – (-5 • 2)
3.) -5(3 + -2) =
(-5 • 3) + (-5 • -2)
4.) -5[3 –(-2)] =
(-5 • 3) – (-5 • -2)
4.2 B

9. Write each expression in factored form.
1.) (6 • 2) + (6 • 3) = 2.) 6 • 2 – 6 • 3 = 3.) -6 • • 3 = • 2 – (-6) • 3 = 5.) 5x – 8x = 6.) -3x – 4x = 6(2 + 3) 6(2 – 3) -6(2 + 3) -6(2 – 3) x(5 – 8) x(-3 – 4)

10. Example #2 3m - 12 Example #3 -2y - 6

11. Which statement demonstrates the distributive property incorrectly?
3(x + y + z) = 3x + 3y + 3z
(a + b) c = ac + bc
5(2 + 3x) = x
6(3k - 4) = 18k - 24

12. Which of the following is the simplified form of -4x + 7x ?

13. Simplify 1) 5a + 7a
12a
2) 6.1y - 3.2y
2.9y
3) 4x2y + 1x2y
5x2y

14. Which of the following is the simplified form of 5x - 4 - 7x + 14 ?

15. Bonus! Which of the following is the simplified form of a + 3a - 4(9 + a) ?
-36
3a - 36
8a - 36
8a + 36