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Mastering Distributive Property Simplification Techniques

Learn to simplify numerical and variable expressions using the distributive property. Practice various examples and improve your understanding of this fundamental algebraic concept.

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Mastering Distributive Property Simplification Techniques

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  1. Simplifying Expressions using Distributive Property

  2. Objective - To use the distributive property to simplify numerical and variable expressions. Distributive Property or Order of Operations Distributive Property It works! Why use the distributive property?

  3. RECAP…. You simply multiply the number in front of the parenthesis with each part inside the parenthesis. For example: 3(x+2) = 3x + 3(2) = 3x+6 3(x+2)

  4. Simplify using the distributive property. 1) 4) 2) 5) 3) 6)

  5. Simplify using the distributive property. 1) 4) 2) 5) 3) 6)

  6. Distributive Property Practice • 3( x + 4) = __________ • 2( a + b) = __________ • 6( t – 10) = __________ • 8( 5 – t ) = __________

  7. Distributive Property Practice • 20( 3 – s) = __________ • 10( 5 + w) = __________ • ½( x + 6) = __________ • 15.5( s + 4) = __________ • 7( b + 2.7) = __________

  8. Cont. Examples 1. 5(2x+1) 2. 3(x +5) 3. 2 +3(x + 6)

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

  10. Group Practice (con’t) 4. 4 + 6(3 - x) 5. 2(x+4)+3 6. 2(x+ 6 – 3)

  11. 4 5 2 Geometric Model for Distributive Property Two ways to find the area of the rectangle. As a whole As two parts

  12. 4 5 2 same Geometric Model for Distributive Property Two ways to find the area of the rectangle. As a whole As two parts

  13. Find the area of the rectangle in terms of x, y and z in two different ways. x y z As a whole As two parts

  14. same Find the area of the rectangle in terms of x, y and z in two different ways. x y z As a whole As two parts

  15. Use the distributive property to write an equivalent variable expression. Then simplify. 1) 4) 2) 5) 3) 6)

  16. Use the distributive property to help simplify the following without a calculator. 1) 2)

  17. Use the distributive property to help simplify the following without a calculator. 3) 4)

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