118 Chapter 2 Integers and Algebraic Expressions Evaluating an Algebraic Expression Evaluate the expression for the given values of the variables. Solution: When substituting a number for a variable, use parentheses in place of the variable. Substitute 7 for x and 3 for y. Apply the order of operations. Multiplication is performed before subtraction. 3x y 31 2 1 2 3172 132 Evaluating an Algebraic Expression 21 3 24 Example 8 Evaluate the expressions for the given values of the variables. a. 0z 0 for z 6 b. x2 for x 4 c. y2 for y 6 Solution: a. 0z 0 0 1 2 0 162 0 0 06 0 6 b. x2 1 22 Replace the variable with empty parentheses. 1422 Substitute 4 for x. 142142 The expression 1422 has a base of 4. Therefore, 1422 142142 16. 16 c. y2 1 22 Replace the variable with empty parentheses. 1622 Substitute 6 for y. 1362 Simplify the expression with exponents first. The expression 1622 162162 36. 36 3x y for x 7 and y 3 Example 7 0y 0 Answers 12. 20 13. 12 14. 25 15. 100 Replace the variable with empty parentheses. Substitute the value 6 for z. Apply the order of operations. Inside the absolute value bars, we take the opposite of 6, which is 6. The opposite of 06 0 is 6. e Skill Practice 12. Evaluate 4a b for a 8 and b 52. Skill Practice Evaluate the expressions for the given values of the variable. 13. Evaluate for y 12. 14. Evaluate p2 for p 5. 15. Evaluate w2 for w 10.
miller_prealgebra_2e_ch1_3
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