Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 2 Integers and Introduction to Variables.

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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 2 Integers and Introduction to Variables

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. 2.1 Introduction to Variables and Algebraic Expressions

33 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Definitions Variable: A letter to represent all the numbers fitting a pattern. 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.

44 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Evaluating Expressions Example Evaluate 7 + 3z when z = –3

55 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Evaluating Expressions Example Evaluate 2(x – y) for x = 8 and y = 4

66 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. 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

77 Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Translating Phrases EXAMPLE SOLUTION Write as an algebraic expression. Use x to represent “a number.” a.) 5 decreased by a number b.) The quotient of a number and decreased bya number – x a.) a number x and12  b.) The quotient of

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