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Chapter 2 - Integers and Introduction to Variables

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

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Chapter 2 Integers and Introduction to Variables
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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
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§ 2.1 Introduction to Variables and Algebraic Expressions
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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
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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
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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
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§ 2.2 Introduction to Integers
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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. A worker in a silver mine in Nevada works 1445 feet underground. Write this as a signed number. Signed numbers : We call positive numbers, negative numbers, and zero, the signed numbers.
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