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Name Class Date Extra Practice (continued) Chapter 5 54. perpendicular to 3x + 4y = 12, 55. parallel to 2x – y = 6, through (7, 1) through (–6, –9) 56. parallel to the x-axis and through (4, –1) 57. through (4, 44) and parallel to the y-axis Tell whether each statement is true or false. Explain your choice. 58. Two airplanes traveling at the same rate leave an airport 1 hour apart. The graphs of the distance each plane travels will be parallel. 59. Two lines with negative slopes can be perpendicular. Lesson 5-7 60. a. Graph the (ages, grades) data of some students in a school. b. Draw a trend line. c. Find the equation of the line of best fit. 61. Use a calculator to find a line of best fit for the data in the chart at the right. Find the value of the correlation coefficient r. Let x = 0 correspond to 1960. Lesson 5-8 Graph each equation by translating y = |x | or y = –| x|. 62. A car traveling at a rate of 50 mi/h passes a rest area 30 minutes after the beginning of the trip. Write an absolute value equation that represents the car’s distance from the rest area. 63. y = | x | + 1 64. y = | x + 2| 65. y = – | x + 1| Prentice Hall Algebra 1 • Extra Practice Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 20 38 For review purposes only. Not for sale or resale.
Name Class Date Chapter 5 Project: The Choice Is Yours Beginning the Chapter Project Do you have a job? If not, what will your first job be? What expenses will you have? How much money will you actually earn? How can you compare earnings between two jobs? Linear equations can help answer all of these questions. As you work through the activities, you will make graphs and write equations that model earnings for different jobs. After interviewing someone about his or her first job, you will choose a job that you might like and will explain why you made that choice. List of Materials • Calculator • Graph paper Activities Activity 1: Graphing Find the starting hourly wage for two jobs that interest you. • For each job, write an equation that gives the income y for working x hours. • With hours worked (0 to 10) on the horizontal axis and income on the vertical axis, graph your two equations. • Suppose you work eight hours in one day. Explain how your graph shows the difference in income for the two jobs. Activity 2: Modeling Suppose you earn $8.50/h at a bakery. From your first paycheck you determine that $2.15/h is withheld for taxes and benefits. You work x hours during a five-day week and you spend $3.75 each day for lunch. • Write an equation for your weekly earnings after taxes, benefits, and lunch expenses. • In this situation, what do the slope and the y-intercept represent? • How many hours must you work to earn $120 after taxes, benefits, and lunch expenses? Prentice Hall Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 94 For review purposes only. Not for sale or resale. 39
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