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Section 1.4 The Distributive Property Use the distributive property. Simplify expressions by combining like terms. SWBAT:

What property allows us to do this? Distributive Property 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 Example a(b + c) = ab + ac 5(x + 2) = 5x + 10 (b + c)a = ba + ca (x + 4)8 = 8x + 32 a(b – c) = ab – ac 4(x – 7) = 4x – 28 (b – c)a = ba – ca (x – 5)9 = 9x – 45

Like Terms Coefficient: the # in front of a variable. Constant: number terms. 3y2 – x + 3 The coefficient is -1 Like Terms: terms with the same variables & exponents 3x 4x 5y2 6y2

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

Multiplying Real #’s 3 – 2(4 + x) 8x + 3x b) 4x2 + 2 – x2 Ex. 3 Simplify by Combining Like Terms 3 – 2(4 + x) 8x + 3x b) 4x2 + 2 – x2

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