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More on the Distributive Property (Feed the babies) Essential Question: What properties do I need to know in order to simplify and evaluate algebraic expressions. Lesson Objective: To simplify and evaluate algebraic expressions. M71Ab (Feed the babies) Distributive Property “Feed the Babies” You might recall that the Distributive Property helps us to break numbers up into simpler units so that we can solve multiplication problems with greater ease. 4 ( 47 ) 4 ( 40 + 7 ) 4 ( 40 ) + 4 ( 7 ) 160 + 28 178 15 ( 125 ) 15 ( 100 + 20 + 5 ) 15 ( 100 ) + 15 ( 20 ) + 15 ( 5 ) 1500 + 300 + 75 1875 See if you can use the Distributive Property to rewrite and solve the problems below. 8 ( 71 ) 4 ( 13.5 ) 12 ( 25 ) 11 (27) Distributive Property “Feed the Babies” You might recall that the Distributive Property also helps us to simplify algebraic expressions too. An expression is simplified when… There are no ( ) or other grouping symbols. When there are NO like terms left to be combined. Distributive Property “Feed the Babies” You might recall that the Distributive Property also helps us to simplify algebraic Expressions too. 4(a–7) 4 (a ) – 4 ( 7 ) 4a + 28 5(x+4) 5(x)+5(4) 5x + 20 An expression is simplified when… There are no ( ) or other grouping symbols. When there are NO like terms left to be combined. WE try … Yes you write these on the right side OF PAGE 12 Simplify each expression (hungry little babies). 1. 2(a +8) 2. 5(6+v) 3. 6(y + 1) 4. 2(x – 3) 5. 3(r + s) An expression is simplified when… There are no ( ) or other grouping symbols. When there are NO like terms left to be combined. USING THE DISTIBUTIVE PROPERTY Work INDIVIDUALLY to simplify each of these expressions (hungry little babies). 1. 6(h +2) 2. 3(x+5) 3. 7(3ab + 7) 4. 5(b – 6) 5. 2(f + e + d + 3) 6. 8(k – 6 ) An expression is simplified when… There are no ( ) or other grouping symbols. When there are NO like terms left to be combined. HW REVIEW 25)2M + 10 33) 8A – 48 26)7X – 28 34) 3N + 12 27)9N + 18 35) 30M + 10 28)35Z – 10 36) 56P – 21 29)54 – 9C 37) 54-6W 30)4 + 1Y 38) 16-14C 31)18 – 24X 39) 27 + 45N 32)20 + 28W