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Section 2.4 Applications of Linear Equations: Introduction to Problem Solving 153 For additional exercises, see Classroom Activities 2.4A–2.4C in the Student’s Resource Manual at www.mhhe.com/moh. Section 2.4 Practice Exercises Study Skills Exercise After doing a section of homework, check the odd-numbered answers in the back of the text. Choose a method to identify the exercises that gave you trouble (i.e., circle the number or put a star by the number). List some reasons why it is important to label these problems. Vocabulary and Key Concepts consecutive 1. a. Integers that follow one after the other without “gaps” are called integers. even b. The integers –2, 0, 2, and 4 are examples of consecutive integers. c. The integers –3, –1, 1, and 3 are examples of consecutive odd integers. d. Two consecutive integers differ by 1 . e. Two consecutive odd integers differ by 2 . f. Two consecutive even integers differ by 2 . Concept 2: Translating to Linear Equations For Exercises 2–8, write an expression representing the unknown quantity. 2. In a math class, the number of students who received an “A” in the class was 5 more than the number of students who received a “B.” If x represents the number of “B” students, write an expression for the number of “A” students. x 5 3. On a particular social network there are 5,682,080 fewer men than women. If x represents the number of women using the network, write an expression for the number of men using the network. x 5,682,080 4. At a recent motorcycle rally, the number of men exceeded the number of women by 216. If x represents the number of women, write an expression for the number of men. x 216 5. At one time there were 10 times as many Facebook users as Twitter users. If x represents the number of Twitter users, write an expression for the number of Facebook users. 10x 6. Rebecca downloaded twice as many songs as Nigel. If x represents the number of songs downloaded by Nigel, write an expression for the number downloaded by Rebecca. 2x 7. Sidney made $20 less than three times Casey’s weekly salary. If x represents Casey’s weekly salary, write an expression for Sidney’s weekly salary. 3x 20 8. David scored 26 points less than twice the number of points Rich scored in a video game. If x represents the number of points scored by Rich, write an expression representing the number of points scored by David. 2x 26 For Exercises 9–18, use the problem-solving flowchart on page 147 (See Examples 1–3.) 10. Fifteen less than a number is 41. Find the number. 9. Six less than a number is –10. Find the number. The number is 4. The number is 56. 12. Twice the sum of a number and negative two is sixteen. Find the number. The number is 10. 11. Twice the sum of a number and seven is eight. Find the number. The number is 3. Writing     Translating Expression     Geometry      Scientific Calculator     Video


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