22. Determine whether the lines through the given points are parallel, perpendicular, or neither. l1: 11, 42, 11, 22 l2: 10, 52, 12, 112 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 25. Write an equation of the line that passes through the points (2, 8) and (4, 1). 26. Write an equation of the line that has y-intercept 14 and slope . 10, 12 2 27. Write an equation of the line that passes through 13, 12 the point and is perpendicular to the line x 3y 9 . 28. Write an equation of the line that passes 12, 62 through the point and is parallel to the x-axis. 29. Write an equation of the line that has slope and passes through the point 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. Cumulative Review Exercises 271 b. Use the equation from part (a) to determine the cost of going to the state fair and going on 10 rides. 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 Number of Doctors (thousands) Year (x 0 corresponds to 1980) 800 600 400 200 y x a. Find the slope of the line shown in the graph. Interpret the meaning of the slope in the context of this problem. 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. Chapters 1–3 Cumulative Review Exercises 1. Identify the number as rational or irrational. 5 4 a. 3 b. c. 110 d. 0 2. Write the opposite and the absolute value for each number. 2 3 a. b. 5.3 3. Simplify the expression using the order of operations. 32 2 4 5 4. Add. 3 182 2 1102 5. Subtract. 16 5 172 For Exercises 6–7, translate the English phrase into an algebraic expression. Then evaluate the expression. 3 4 6. The quotient of and 7 8 7. The product of 2.1 and 6 8. Name the property that is illustrated by the following statement. 6 18 22 16 82 2
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