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

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

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 – 72 + 6 ÷ 3

3 + 4 • 5 ÷ 2 • 3 – 72 + 6 ÷ 3 3 + 4 • 5 ÷ 2 •3 – 49 + 6 ÷ 3 3 + 20 ÷ 2 •3 – 49 + 6 ÷ 3 3 + 10 •3 – 49 + 6 ÷ 3 3 + 30 – 49 + 6 ÷ 3 3 + 30 - 49 +2 33 – 49 + 2 -16 +2 -14

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

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?

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

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

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

Which statement demonstrates the distributive property incorrectly? 3(x + y + z) = 3x + 3y + 3z (a + b) c = ac + bc 5(2 + 3x) = 10 + 3x 6(3k - 4) = 18k - 24

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

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

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

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