Section 2.4 Applications of Linear Equations: Introduction to Problem Solving 135 Skill Practice 7. There are 40 students in an algebra class.There are 4 more women than men. How many women and how many men are in the class? 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 1. a. Integers that follow one after the other without “gaps” are called integers. 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 integers. d. Two consecutive integers differ by . e. Two consecutive odd integers differ by . f. Two consecutive even integers differ by . Concept 2: Translations Involving 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. 3. There are 5,682,080 fewer men on Facebook than women. If x represents the number of women using Facebook, write an expression for the number of men using Facebook. 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. 5. There are 10 times as many Facebook users as there are Twitter users. If x represents the number of Twitter users, write an expression for the number of Facebook users. 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. 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. 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. Answer 7. There are 22 women and 18 men.
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