Do Now SECTION 1 4 THE DISTRIBUTIVE PROPERTY

Do Now

SECTION 1. 4 THE DISTRIBUTIVE PROPERTY SWBAT: § Use the distributive property. § Simplify expressions by combining like terms.

Mental Math You’re in Macy’s looking to buy a few Ed Hardy T-shirts. At $37 each, you want to know how much 3 of them will cost you. Hmmmm… mental math? You can’t possibly use your cell phone instead of your head! 3(37) = 3(30 + 7) = 3∙ 30 + 3∙ 7 = 90 + 21 = 111 3(37) = 3(40 – 3) = 3∙ 40 – 3∙ 3 = 120 - 9 = 111 What property allows us to do this? Distributive Property

The Distributive Property Symbols a(b + c) = ab + ac (b + c)a = ba + ca a(b – c) = ab – ac (b – c)a = ba – ca Example 5(x + 2) = 5 x + 10 (x + 4)8 = 8 x + 32 4(x – 7) = 4 x – 28 (x – 5)9 = 9 x – 45

Like Terms Coefficient: the # in front of a variable. 2 3 y Constant: number terms. –x+3 The coefficient is -1 Like Terms: terms with the same variables & exponents 3 x 4 x 2 5 y 2 6 y

Multiplying Real #’s Ex. 2 YOU TRY! Simplify. a) -3(x + 4) c) (y + 5)(-4) b) -(6 – 3 x) d) (x – 1)(-9 x)

Multiplying Real #’s Ex. 3 Simplify by Combining Like Terms a) 8 x + 3 x b) 4 x 2 + 2 – x 2 c) 3 – 2(4 + x)

Open Ended – pg 27 #1 A pilot at an air show charges $25 per passenger for rides. If 12 adults and 15 children ride in one day, write and evaluate an expression to describe the situation.

Did We Reach Our Objective? § Use the distributive property. § Simplify expressions by combining like terms.

Homework Section 1. 4 #26 – 38 Evens, 42 – 48