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Algebra Review

Algebra Review. Objective: Review and apply the Distributive Property. T. Merrill/M. Stocking. Distributive property. The Distributive Property allows us to simplify things out of order from the order of operations by distributing things inside parenthesis.

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Algebra Review

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  1. Algebra Review Objective: Review and apply the Distributive Property T. Merrill/M. Stocking

  2. Distributive property The Distributive Property allows us to simplify things out of order from the order of operations by distributing things inside parenthesis. We can’t simplify what’s in the parenthesis because we don’t know the value of x For Example, 3(x+2) But with the distributive property 3(x+2) = 3(x)+3(2)=3x+6 You simply multiply the number in front of the parenthesis with each part inside the parenthesis.

  3. Examples 1. 5(2x+1) = 5(2x) + 5(1) = 10x + 5 2. -3(x +5) = -3(x) + -3(5) = -3x – 15 3. 2 –3(x + 6) = 2 - 3(x) + -3(6) = 2 – 3x – 18 = -3x – 16

  4. Group Practice Try the following on your own • 4. 4 + 6(3 – x) • 5. -2(x + 4) +3 • 6. 2(x + 6 – 3)

  5. Group Practice (con’t) 4. 4 + 6(3 - x) 5. -2(x+4)+3 = 4+ 6(3) - 6(x) = 4 + 18 - 6x = 22 - 6x = -2(x) + -2(4)+3 = -2x + -8 +3 = -2x – 5 6. 2(x+ 6 – 3) = 2(x) + 2(6) – 2(3) = 2x + 12 – 6 = 2x + 6

  6. More Distributive Property • What happens when you multiply a binomial by a binomial? You use the Distributive Property TWICE! Outside First F O I L (x+2)•(x+1) = x•x +x•1 +2•x +2•1 = x²+1x+2x+2 Inside Last = x²+3x+2

  7. More Distributive Property Another way to use the Distributive Property twice: The “Box” Method Let’s use the same problem: (x+2)•(x+1) = x²+1x+2x+2 x + 2 x² = x²+3x+2 2x 1 + x 1x 2

  8. Practice Problems • (x – 3)•(x + 2) = • (x + 5)(x – 5) = • (x – 1)(x – 4) = • (2x + 1)•(x – 1) =

  9. Summary • The distributive property is used when ________________________. • Two methods to perform the distributive property twice are: ___________ and ______________. • You would not want to use the distributive property when ________ _____________________________.

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