Section 1.2 Exponents, Square Roots, and the Order of Operations 63 Classroom Examples: p. 68, Exercises 84 and 94 Answers 15. 16. 17. 18. 19. 2x 1 20. ƒw ƒ 5 6y 2t 7 x 12 12 x 4. Translations Algebra is a powerful tool used in science, business, economics, and many dayto day applications. To apply algebra to a real-world application, we need the important skill of translating an English phrase to a mathematical expression. Table 1-3 summarizes commonly used phrases and expressions. Table 1-3 Operation Symbols Translation Addition a b sum of a and b a b Writing an English Phrase as an Algebraic Expression Example 6 Translate each English phrase to an algebraic expression. a. The quotient of x and 5 b. The difference of p and the square root of q c. Seven less than n d. Seven less n e. Eight more than the absolute value of w f. x subtracted from 18 a plus b b added to a b more than a a increased by b the total of a and b Subtraction difference of a and b a minus b b subtracted from a a decreased by b b less than a a less b Multiplication product of a and b (Note: We rarely use the notation a times b because the symbol, might be a multiplied by b confused with the variable, x.) Division quotient of a and b a divided by b b divided into a ratio of a and b a over b a per b a b, a b , ab, b a , a b a b, a b, a1b2, 1a2b, 1a21b2, ab Skill Practice Translate each English phrase to an algebraic expression. 15. The product of 6 and y 16. The difference of the square root of t and 7 17. Twelve less than x 18. Twelve less x 19. One more than two times x 20. Five subtracted from the absolute value of w
miller_introductory_algebra_3e_ch1_3
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