96 Chapter 2 Integers and Algebraic Expressions 3. Translations and Applications of Addition Translating an English Phrase to a Mathematical Expression Example 6 Translate to a mathematical expression and simplify. 6 added to the sum of 2 and 11 Solution: Translate: 6 added to the sum of 2 and 11 Notice that the sum of 2 and 11 is written first, and then 6 is added to that value. Find the sum of 2 and 11 first. 2 1112 9. 32 1112 4 162 9 162 Applying Addition of Integers to Determine Snowfall Amount 15 Winter snowfall in northwest Montana is a critical source of water for forests, rivers, and lakes when the snow melts in the spring. Below average snowfall can contribute to severe forest fires in the summer. The graph indicates the number of inches of snowfall above or below average for given months. Find the total departure from average snowfall for these months. Do the results show that the region received above average snowfall for the winter or below average? Solution: From the graph, we have the following departures from the average snowfall. 20 16 12 8 4 0 24 28 212 To find the total, we can group the addends conveniently. Total: 182 1122 142 16 12 24 28 4 The total departure from average is 4 in. The region received above average snowfall. Example 7 Month Amount (in.) Nov. 8 Dec. 12 Jan. 16 Feb. 12 Mar. 4 216 Snowfall Amounts Above or Below Average Departure from Average (in.) Nov. Dec. Jan. Feb. Mar. Skill Practice Translate to a mathematical expression and simplify. 14. 2 more than the total of 8, 10, and 5 Skill Practice 15. Jonas played 9 holes of golf and received the following scores. Positive scores indicate that Jonas was above par. Negative scores indicate that he was below par. Find Jonas’s total after 9 holes. Is his score above or below par? 2, 1, 1, 0, 0, 1, 3, 4, 1 Answers 14. 38 1102 54 122; 15 15. The total score is 7. Jonas’s score is above par. μ μ
miller_prealgebra_2e_ch1_3
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