mgb5e_ppt_2_1 - Using the Distributive Property b.) 7( x +...

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Chapter 2 Equations, Inequalities and Problem Solving
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§ 2.1 Simplifying Algebraic Expressions
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Martin-Gay, Beginning Algebra, 5ed 3 Terms A term is a number, or the product of a number and variables raised to powers – (the number is called a coefficient ). Examples of Terms 7 (coefficient is 7) 5 x 3 (coefficient is 5) 4 xy 2 (coefficient is 4) z 2 (coefficient is 1)
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Martin-Gay, Beginning Algebra, 5ed 4 Like terms contain 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. You can combine like terms by adding or subtracting them (this is not true for unlike terms). Like Terms
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Martin-Gay, Beginning Algebra, 5ed 5 6 x 2 + 7 x 2 19 xy – 30 xy 13 xy 2 – 7 x 2 y 13 x 2 11 xy Can’t be combined (since the terms are not like terms) Examples of Combining Terms Terms Before Combining After Combining Terms Combining Like Terms
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Martin-Gay, Beginning Algebra, 5ed 6 a.) 2( x + y ) = 2 x + 2 y Example: Find each product by using the distributive property to remove the parentheses.
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Unformatted text preview: Using the Distributive Property b.) 7( x + 2 y 5 z ) = 7 x + 14 y 35 z c.) 4(3 a 3 b 10 c ) = 12 a + 12 b + 40 c a.) 2( x + y ) b.) 7( x + 2 y 5 z ) c.) 4(3 a 3 b 10 c ) Martin-Gay, Beginning Algebra, 5ed 7 Word Phrases as Algebraic Expressions Addition (+) Subtraction () Multiplication () Division ( ) sum plus added to more than increased by total difference minus subtract less than decreased by less product times multiply multiplied by of double/triple quotient divide shared equally among divided by divided into Martin-Gay, Beginning Algebra, 5ed 8 Word Phrases as Algebraic Expressions Example: Write as an algebraic expression. Use x to represent a number. In words: a.) 5 decreased by a number b.) The quotient of a number and 12 5 Translate: 5 decreased by a number x a.) In words: a number Translate: x and 12 12 b.) or 12 x The quotient of...
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This note was uploaded on 06/10/2009 for the course MAC 1103 taught by Professor Prescott during the Spring '09 term at Pasco-Hernando Community College.

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mgb5e_ppt_2_1 - Using the Distributive Property b.) 7( x +...

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