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Unformatted text preview: Chapter 2 Integers and Introduction to Variables MartinGay, Basic College Mathematics with Early Integers 2 MartinGay, Basic College Mathematics with Early Integers 2 2.1 – Introduction to Variables and Algebraic Expressions 2.2 – Introduction to Integers 2.3 – Adding Integers 2.4 – Subtracting Integers 2.5 – Multiplying and Dividing Integers 2.6 – Order of Operations Chapter Sections § 2.1 Introduction to Variables and Algebraic Expressions MartinGay, Basic College Mathematics with Early Integers 4 MartinGay, Basic College Mathematics with Early Integers 4 Definition Example Variable : A letter to represent all the numbers fitting a pattern. Evaluate: 7 + 3z when z = – 3 Algebraic Expression : A combination of numbers, letters (variables), and operation symbols. Evaluating the Expression : Replacing a variable in an expression by a number and then finding the value of the expression z 3 7 + SOLUTION SOLUTION ) 3 ( 3 7 + = ) 9 ( 7 + = 9 7 = 2 = Evaluating Algebraic Expressions MartinGay, Basic College Mathematics with Early Integers 5 MartinGay, Basic College Mathematics with Early Integers 5 Translating Phrases 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 MartinGay, Basic College Mathematics with Early Integers 6 MartinGay, Basic College Mathematics with Early Integers 6 Translating Phrases EXAMPLE EXAMPLE SOLUTION SOLUTION 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 § 2.2 Introduction to Integers MartinGay, Basic College Mathematics with Early Integers 8 MartinGay, Basic College Mathematics with Early Integers 8 Representing RealLife Situations d undergroun feet 1445 Definition Example Positive numbers : Numbers greater than 0....
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 Spring '09
 GaryPiercy,ChristopherRiola
 Algebra, Integers

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