1. Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 1 Introduction to Algebraic Expressions

2. 1-2 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Introduction to Algebra Algebraic Expressions Translating to Algebraic Expressions Translating to Equations 1.1

3. 1-3 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Algebraic Expression An algebraic expression consists of variables and/or numerals often with operation signs and grouping symbols. Examples:

4. 1-4 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Evaluate each expression for the given values. a) a + b for a = 21 and b = 74 Solution a + b = 21 + 74 = 95 b) 7xy for x = 3 and y = 6 Solution 7xy = 7 3 6 = 126

5. 1-5 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example The area of a triangle with a base length b and height of length h is given by the formula A = ½ bh. Find the area when b is 12 m and h is 7.2 m. Solution

6. 1-6 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Translating to Algebraic Expressions per of decreased byincreased by ratio of twice less than more than divided into times minus plus quotient of product of difference of sum of divided bymultiplied bysubtracted from added to DivisionMultiplicationSubtractionAddition

7. 1-7 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Translate each phrase to an algebraic expression. a) 9 more than y b) 7 less than x c) the product of 3 and twice w Solution PhraseAlgebraic Expression a) 9 more than y b) 7 less than x c) the product of 3 and twice w

8. 1-8 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Translating to Equations The symbol = (“equals”) indicates that the expressions on either side of the equals sign represent the same number. An equation is a number sentence with the verb =.

9. 1-9 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Translate the problem to an equation. What number added to 127 is 403? Solution Let y represent the unknown number.

10. 1-10 Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Example Translate the problem to an equation. Valley College has 13 science instructors on its faculty. The number of science instructors is 5 more than the number of math instructors. How many math instructors are there? Solution Let y represent the number of math instructors. science instructors is 5 more than math 13 = 5 + y