33. = −25 + 9 ANSWER: 8-1 Solving Equations with Rational Coefficients −64 Solve each equation. Check your solution. 13. 0.5s = –60 ANSWER: –120 15. –7.2 = 3y ANSWER: –2.4 c. Graph Graph the points from the table on the coordinate plane. Graph time on the x-axis and distance on the y-axis. d. Graph Using the graph, estimate the number of days it will take the butterfly to travel 475 miles. e. Words How many days will it take a butterfly to travel 2100 miles? Which method did you use to solve the problem? 21. ANSWER: −64 23. ANSWER: a. d = 52.5t b. ANSWER: 27. Rashid picked a total of 420 strawberries in 45. Multiple Representations Every autumn, the North American Monarch butterfly migrates up to 3000 miles to California and Mexico where it hibernates until early spring. The butterfly travels on average 52.5 miles per day. a. Symbols Write an equation that represents the distance d a butterfly will travel in t days. b. Table Use the equation to complete the table. hour. c. Write and solve an equation to find how many strawberries Rashid could pick in 1 hour. ANSWER: x = 420; 504 strawberries Solve each equation. Check your solution. 29. 5p – 2p = −12 ANSWER: −4 31. −2(6y) = 144 ANSWER: −12 33. = −25 + 9 d. about 9 days e . 40 days; See students’ work. 48. Find the Error Sam is solving . Find his mistake and correct it. ANSWER: −64 45. Multiple Representations Every autumn, the North American Monarch butterfly migrates up to 3000Manual miles- to California and Mexico where it eSolutions Powered by Cognero hibernates until early spring. The butterfly travels on average 52.5 miles per day. a. Symbols Write an equation that represents the Page 1 ANSWER: He should have multiplied each side by 4; x = –80. about 9 days 8-1d.e .Solving with Rational Coefficients 40 days; SeeEquations students’ work. 48. Find the Error Sam is solving . Find his mistake and correct it. ANSWER: He should have multiplied each side by 4; x = –80. 52. During a vacation, the Morales family drove 63.2 miles in 1 hour. If they averaged the same speed during their trip, which equation can be used to find how far the Morales family drove in 6 hours? A B C 6x = 63.2 D 63.2x = 6 ANSWER: B Solve each equation. Check your solution. 57. 4 = 7 + p ANSWER: −3 59. 2.3 + r = 1.6 ANSWER: −0.7 61. t + (−16) = −24 ANSWER: −8 eSolutions Manual - Powered by Cognero Page 2
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