Section 1.3 Exponents, Square Roots, and the Order of Operations 39 Skill Practice Simplify the expression. 14. 60 32 2 3 8 2 4. Translations Algebra is a powerful tool used in science, business, economics, and many day-today 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 sum of a and b a plus b b added to a b more than a a increased by b the total of a and b a 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 a b, a b, a1b2, 1a2b, 1a21b2, ab Multiplication product of a and b (Note: From this point forward we will a times b seldom use the notation a multiplied by b because the symbol, might be 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 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 Answer 14. 6
miller_beginning_intermediate_algebra_4e_ch1_3
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