Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. NAME ___________________________________________________ DATE _____________________ PERIOD __________ Lesson 1 Homework Practice Solving Equations with Rational Coefficients Solve each equation. Check your solutions. 1. 7 − 8 y = 56 2. 1 − 4 w = 12 3. -3.5u = -14 4. - 1 − 5 r = 15 64 48 4 -75 5. 9.1d = -7.28 6. - 3 − 8 f = 0 7. - 2 − 3 n = 1 − 3 8. 1 − 14 v = -7 -0.8 0 - 1 − 2 -98 9. -1.5b = 24 10. - 1 − 2 h = -72 11. 1 − 24 r = -5 12. - 1 − 6 p = -3 -16 144 -120 18 13. -15x = 90 14. -4.2g = -21 15. 1 − 20 z = -1 16. 10 − 11 t = 0 -6 5 -20 0 17. 23.6g = -94.4 18. -7d = -28 19. - 1 − 15 m = 7 20. 7 − 9 k = - 7 − 9 -4 4 -105 -1 21. 5 − 6 w = 0 22. -4.8r = 2.4 23. 1 − 12 u = 1 24. -11q = -99 0 -0.5 12 9 25. 1 − 6 y = - 1 − 12 26. - 1 − 8 n = 0 27. -7.5j = 90 28. -21p = -231 - 1 − 2 0 -12 11 29. The product of a number and -6.5 is -58.5. Write and solve an equation to find the number. -6.5n = -58.5; 9 30. The quotient of a number and 6 is -14. Write and solve an equation to find the number. x − 6 = -14; -84 31. Each student needs 12.5 minutes to give a report. A class period is 50 minutes long. Write and solve an equation to determine the number of students who could give a report in one class period. 12.5s = 50; 4 students 32. One pound of ground beef makes four hamburger patties. Write and solve an equation to determine how many pounds of beef are needed to make 36 hamburgers. 4x = 36; 9 Math Accelerated • Chapter 8 Equations and Inequalities