192 Chapter 2 Linear Equations and Inequalities Skill Practice 18. To get at least a B in math, Simon must average at least 80 on all tests. Suppose Simon has scored 60, 72, 98, and 85 on the first four tests. Determine the minimum score he needs on the fifth test to receive a B. Answer 18. Simon needs at least 85. Solving an Application with Linear Inequalities Example 10 To earn an A in a math class, Alsha must average at least 90 on all of her tests. Suppose Alsha has scored 79, 86, 93, 90, and 95 on her first five math tests. Determine the minimum score she needs on her sixth test to get an A in the class. Solution: Let x represent the score on the sixth exam. Label the unknown. The average score is found by taking the sum of the test scores and dividing by the number of scores. Classroom Example: p. 196, Exercise 112 a Average of b 90 all tests 79 86 93 90 95 x 443 x 6 6a443 x 90 90 6 b 19026 443 x 540 x 540 443 x 97 6 Study Skills Exercise Find the page numbers for the Chapter Review Exercises, the Chapter Test, and the Cumulative Review Exercises for this chapter. Chapter Review Exercises Chapter Test Cumulative Review Exercises Compare these features and state the advantages of each. Vocabulary and Key Concepts ax b 7 c or ax b 6 c 1a 02 1. a. A relationship of the form is called a in one variable. b. A statement that involves more than one is called a compound inequality. c. The notation is an example of notation, whereas is an example 5x ƒ x 7 96 19, 2 of notation. Review Problems For Exercises 2–4, solve the equation. 31x 22 12x 72 15x 12 21x 62 3 10 10y 71y 82 13 13 612y 12 2. 3. 3 4. 6 81x 32 5x 5x 12x 52 13 6 For additional exercises, see Classroom Activities 2.8A–2.8D in the Student’s Resource Manual at www.mhhe.com/moh. Section 2.8 Practice Exercises linear inequality inequality set-builder interval Writing Translating Expression Geometry Scientific Calculator Video Create a verbal model. Simplify. Multiply both sides by 6 to clear fractions. Solve the inequality. Subtract 443 from both sides. Interpret the results. Alsha must score at least 97 on her sixth exam to receive an A in the course.
miller_introductory_algebra_3e_ch1_3
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