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  1. 1. Algebraic Expressions<br />Jessica Francis<br />
  2. 2. Write a verbal expression.<br />Write an expression in symbolic form.<br />Calculate the answer of an expression.<br />Factor an expression.<br />Algebraic Expressions<br />
  3. 3. Expression<br />A symbol or combination of symbols.<br />It represents a value or relation.<br />Verbal Expression<br />Example- Three x plus two y equals zero.<br />What is an Expression?<br />
  4. 4. Symbolic Expression<br />Example- 3x+2y=8.<br />Calculate an Expression<br />Plug in numbers for variables.<br />What is an Expression?<br />
  5. 5. Represents numbers, symbols and letters.<br />Example- 2x+3(y+1)=4<br /> = Two x plus three times the quantity of y plus one equals four.<br />Verbal Expression<br />
  6. 6. Represents words/verbal expressions.<br />Example- Three x minus five y equals twelve.<br /> = 3x-5y=12<br />Symbolic Expression<br />
  7. 7. Given values for variables.<br />Given expression.<br />So…<br />Plug values into the expression.<br />Solve.<br />Calculating<br />
  8. 8. Example- f(x)=5x-2y<br />Evaluate the expression when x=4 & y=8.<br /> =5(4) - 2(8)<br /> = 20 – 16<br /> = 4<br />Calculating<br />
  9. 9. Greatest Common Factor<br />15 - 5x3 GCF<br />45 – 5x3x3 = 5x3<br />Grouping<br />2x^3+4x^2+4x-8 <br />(2x^3+4x^2)+ (4x-8)<br />Factor Expressions<br />
  10. 10. Look for a GCF.<br />Turn the equation into…<br /> GCF x ( )<br />Make it look like a multiplication problem.<br />Greatest Common Factor<br />
  11. 11. Example- <br />2x^2y^2+4x^2 <br />GCF= 2x^2 <br />2x^2(y^2 + 2)<br />Example-<br />3y^2 – 3<br />GCF= 3<br />3(y^2 - 1)<br />GCF<br />
  12. 12. Group first 2 terms together.<br />Group last 2 terms together.<br />Factorindividually using GCF.<br />Combine the terms.<br />Grouping<br />
  13. 13. Example-<br />X^3-3x^2+2x-6<br />(X^3-3x^2) + (2x-6)<br />X^2(x-3) + 2(x-3)<br />(X^2+2)(x-3)<br />Grouping<br />
  14. 14. Write in Symbolic Form<br />Four x minus three y equals twenty-four.<br />4x-3y=24<br />Write in a Verbal Expression.<br />3x+2z=45<br />Three x plus two z equals forty-five.<br />Review<br />
  15. 15. Calculate the answer.<br />5x-6y=? when X=5 & Y=3<br />5(5)-6(3)= 25-18<br /> = 7<br />What is the GCF of…<br />15x^2+3x? 25y^3-5y^2<br />=3x. =5y^2<br />Review<br />
  16. 16. Factor the expression.<br />x^3+4x^2<br />=x^2(x+4)<br />x^3 – 4x^2 + 4x – 16<br />(x^3 – 4x^2)+(4x-16)<br />x^2(x-4)+4(x-4)<br />(x^2+4)(x-4)<br />Review<br />
  17. 17. Spector, Lawrence. "The Math Page." Skill in Algebra. Lawrence Spector, 2004-2010. Web. 1 Oct 2010. <http://www.themathpage.com/alg/algebra.htm>.<br />Stewart, James, LotharRedlin, and Saleem Watson. College Algebra. 5th. Belmont, CA: Brooks/Cole, 2009. 32-45. Print.<br />Resources<br />

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