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miller_prealgebra_2e_ch1_3

62 Chapter 1 Whole Numbers Using the Order of Operations Example 5 Simplify. Solution: Simplify within the innermost parentheses first ( ). Simplify the exponent. Simplify within the next innermost parentheses . Multiply before adding. Subtract and add in order from left to right within the parentheses { }. Simplify within the parentheses { }. Simplify. 5300 4 4 15 222 86 31 5300 4 4 1722 86 31 5300 4 4 49 86 31 5300 4 53 86 31 5300 212 86 31 588 86 31 96 31 4. Algebraic Expressions In Section 1.5, we introduced the formula A l w. This represents the area of a rectangle in terms of its length and width.The letters A, l, and w are called variables. Variables are used to represent quantities that are subject to change. Quantities that do not change are called constants. Variables and constants are used to build algebraic expressions. The following are all examples of algebraic expressions. n 30, x y, 3w, The value of an algebraic expression depends on the values of the variables within the expression. In Examples 6 and 7, we practice evaluating expressions for given values of the variables. Evaluating an Algebraic Expression Example 6 Evaluate the expression for the given values of the variables. 5a b for a 6 and b 10 Solution: 5a b 51 2 1 2 When we substitute a number for a variable, use parentheses in place of the variable. 5162 1102 Substitute 6 for a and 10 for b, by placing the values within the parentheses. 30 10 Apply the order of operations. Multiplication is performed before addition. 40 a 4 65 5300 434 15 222 4 86 31 Skill Practice Simplify. 14. 42 2 312 13 62 4 Skill Practice 15. Evaluate x 7y for x 8 and y 4. Answers 14. 10 15. 36


miller_prealgebra_2e_ch1_3
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