102 Chapter 2 Integers and Algebraic Expressions Translating to a Mathematical Expression Example 4 Translate each English phrase to a mathematical expression. Then simplify. a. 12 less than 8 b. Subtract 27 from 5. Solution: a. To translate “12 less than 8,” we must start with 8 and subtract 12. 8 12 Translate: 12 less than 8. 8 1122 Rewrite subtraction in terms of addition. 20 Add. b. To translate “subtract 27 from 5,” we must start with 5 and subtract 27. 5 27 Translate: Subtract 27 from 5. 5 1272 Rewrite subtraction in terms of addition. 22 Add. Applying Subtraction of Integers A helicopter is hovering at a height of 200 ft above the ocean. A submarine is directly below the helicopter 125 ft below sea level. Find the difference in elevation between the helicopter and the submarine. Solution: elevation of helicopter ° b 200 ft 1125 ft2 200 ft 1125 ft2 325 ft Study Skills Exercise Which activities might you try when working in a study group to help you learn and understand the material? Quiz one another by asking one another questions. Practice teaching one another. Share and compare class notes. Support and encourage one another. Work together on exercises and sample problems. Rewrite as addition. The helicopter and submarine are 325 ft apart. a “elevation” of submarine a b Difference between elevation of helicopter and submarine ¢ Example 5 Answers 11. 2 6; 4 12. 1 (4); 3 13. 14,776 ft 200 ft 2125 ft Skill Practice Translate to a mathematical expression. Then simplify. 11. 6 less than 2 12. Subtract 4 from 1. Skill Practice 13. The highest point in California is Mt.Whitney at 14,494 ft above sea level. The lowest point in California is Death Valley, which has an “altitude” of 282 ft (282 ft below sea level). Find the difference in the elevations of the highest point and lowest point in California. Section 2.3 Practice Exercises
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