Cumulative Review Exercises 289 23. Determine whether the equations represent parallel lines, perpendicular lines, or neither. l1: 2y 3x 3 l2: 4x 6y 1 24. Write an equation of the line that passes through the point (3, 0) and is parallel to the line 2x 6y 5 . 1 3 x 1 25. Write an equation of the line that passes through the points (2, 8) and (4, 1). y or 7x 2y 30 26. Write an equation of the line that has y-intercept 14 and slope . 10, 12 2 1 4 x 1 2 27. Write an equation of the line that passes 13, 12 through the point and is perpendicular to the line x 3y 9 . y 3x 8 or 3x y 8 28. Write an equation of the line that passes 12, 62 through the point and is parallel to the x-axis. y 6 29. Write an equation of the line that has slope and passes through the point y x 3 x y 3 or 15, 22. 1 30. To attend a state fair, the cost is $10 per person to cover exhibits and musical entertainment. There is an additional cost of $1.50 per ride. a. Write an equation that gives the total cost, y, of visiting the state fair and going on x rides. b. Use the equation from part (a) to determine the cost of going to the state fair and going on 10 rides. $25 31. The number of medical doctors for selected years is shown in the graph. Let x represent the number of years since 1980, and let y represent the number of medical doctors (in thousands) in the United States. 1000 Number of Medical Doctors, U.S. (10, 614) (20, 814) 0 0 5 10 15 20 25 a. Find the slope of the line shown in the graph. Interpret the meaning of the slope in the context of this problem. m 20; b. Find an equation of the line. c. Use the equation from part (b) to predict the number of medical doctors in the United States for the year 2015. Perpendicular y or x 4y 2 7 2 x 15 y or x 3y 3 y 1.5x 10 The slope indicates that there is an increase of 20 thousand medical doctors per year. 1114 thousand or, equivalently, 1,114,000 Number of Doctors (thousands) Year (x 0 corresponds to 1980) 800 600 400 200 y x y 20x 414 1. Identify the numbers as rational or irrational. 5 4 a. 3 b. c. 110 d. 0 Rational Rational Irrational Rational 2. Write the opposite and the absolute value for each number. 2 3 a. b. 5.3 5.3; 5.3 3. Simplify the expression using the order of operations: 32 2 4 5 69 3 182 2 1102 4. Add: 13 5. Subtract: 16 5 172 18 For Exercises 6 and 7, translate the English phrase into an algebraic expression. Then evaluate the expression. 6. The quotient of and 7 8 . 7. The product of 2.1 and 6. (2.1)(6); 12.6 8. Name the property that is illustrated by the following statement. The associative property of addition For Exercises 9–12, solve the equation. 9. 10. 6x 10 14 31m 22 3 2m 8 11. 12. 1.7z 2 210.3z 1.32 2 3 y 1 6 y 4 3 6 18 22 16 82 2 3 4 Chapters 1–3 Cumulative Review Exercises 2 3 ; 2 3 9 2 2 3 4 7 8 ; 6 7 4 5 Writing Translating Expression Geometry Scientific Calculator Video
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