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Gale Bach Beginning Algebra Math 151 Fall 2014

Santa Rosa Junior College Mathematics. Gale Bach Beginning Algebra Math 151 Fall 2014. http://online.santarosa.edu/homepage/gbach/. What is Math?. What is Math?. Jobs?. Combining Like Terms. § 2.1. Examples of Algebraic Expressions. 5 + 7 6 x 2 + 7 x 2 19 xy – 30 xy + 8

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Gale Bach Beginning Algebra Math 151 Fall 2014

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  1. Santa Rosa Junior College Mathematics Gale Bach Beginning Algebra Math 151 Fall 2014 http://online.santarosa.edu/homepage/gbach/

  2. What is Math?

  3. What is Math?

  4. Jobs?

  5. Combining Like Terms § 2.1

  6. Examples of Algebraic Expressions 5 + 7 6x2 + 7x2 19xy – 30xy + 8 13xy2 – 7x2y + 11xy2

  7. Terms Atermis a number, or the product of a number and variables raised to powers – (the number is called the numericalcoefficient). Examples of Terms 7 (numerical coefficient is 7) 5x3(numerical coefficient is 5) 4xy2(numerical coefficient is 4) z2 = 1 z2 (numerical coefficient is 1)

  8. Like Terms You can combine like terms by adding or subtracting them (this is not true for unlike terms). Like termscontain the same variables raised to the same powers. To combine like terms, add or subtract the numerical coefficients (as appropriate), then multiply the result by the common variable factors.

  9. Combining Like Terms 5 + 7 6x2 + 7x2 19xy – 30xy + 8 13xy2 – 7x2y + 11xy2 12 13x2 – 11xy + 8 24xy2 – 7x2y Examples of Combining Terms Terms Before CombiningAfter Combining Terms Simplified Algebraic Expressions

  10. a.) 2(x + y) = 2x + 2y Using the Distributive Property Example: Find each product by using the distributive property to remove the parentheses. b.) 7(x + 2y – 5z) c.) – 4(3a – 3b – 10c) a.) 2(x + y) = 7x + 14y – 35z b.) 7(x + 2y – 5z) = – 12a + 12b + 40c c.) – 4(3a – 3b – 10c)

  11. Examples a. b.

  12. Example Formulas are on page 606 in your textbook.

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