CC1_PG_Ch2_3.pdf - DISTRIBUTIVE PROPERTY 2.3.3 and 2.3.4...

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Parent Guide with Extra Practice© 2011, 2013 CPM Educational Program.All rights reserved.11DISTRIBUTIVE PROPERTY2.3.3 and 2.3.4The Distributive Property shows how to express sums and products in two ways:a(b+c) =ab+ac.This can also be written (b+c)a=ab+ac.Factored formDistributed formSimplified forma(b+c)a(b) +a(c)ab+acTo simplify:Multiply each term on the inside of the parentheses by the term on the outside.Combine terms if possible.For additional information, see the Math Notes boxes in Lessons 2.3.4 and 7.3.2 of theCoreConnections, Course 1text.For additional examples and practice, see theCore Connections,Course 1Checkpoint 8A materials.Example 1Example 2Example 32(47)=2(40+7)=(240)+(27)=80+14=943(x+4)=(3x)+(34)=3x+124(x+3y+1)=(4x)+(43y)+4(1)=4x+12y+4ProblemsSimplify each expression below by applying the Distributive Property.1.6(9 + 4)2.4(9 + 8)3.7(8 + 6)4.5(7 + 4)5.3(27) = 3(20 + 7)6.6(46) = 6(40 + 6)7.8(43)8.6(78)9.3(x+ 6)10.5(x+ 7)11.8(x– 4)12.6(x– 10)13.(8 +x)414.(2 +x)515.–7(x+ 1)16.–4(y+ 3)17.–3(y– 5)18.–5(b– 4)19.–(x+ 6)20.

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Algebra, The Distributive Property, All rights reserved, Greatest common divisor, 8m, 4m, CPM Educational Program

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