Chapter 2 - Integers and Introduction to Variables

Chapter 2 - Integers and Introduction to Variables -...

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Unformatted text preview: Chapter 2 Integers and Introduction to Variables Martin-Gay, Basic College Mathematics with Early Integers 2 Martin-Gay, 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 Martin-Gay, Basic College Mathematics with Early Integers 4 Martin-Gay, 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 Martin-Gay, Basic College Mathematics with Early Integers 5 Martin-Gay, 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 Martin-Gay, Basic College Mathematics with Early Integers 6 Martin-Gay, 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 Martin-Gay, Basic College Mathematics with Early Integers 8 Martin-Gay, Basic College Mathematics with Early Integers 8 Representing Real-Life Situations d undergroun feet 1445 Definition Example Positive numbers : Numbers greater than 0....
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Chapter 2 - Integers and Introduction to Variables -...

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