Module 9 Confirmation Test Review Perform the indicated operations for each of the rational expressions. 1. n 2 − 9n + 20 10mn 2 • 6m 7 n 2 5n − 20 2. 4n3 − 25n ÷ (10n + 25 ) 3n 2 − 16n + 5 3. 11m m + 2 m + 3m − 28 m + 7 4. d 2 − 11 d +1 − 2 d − 7d + 12 d − 4 Solve the following rational equations. 5. 5 3 1 − = 7 x 3 7. 1 x 5 + = 2 x − 7 x − 2 x − 9 x + 14 6. x 3 = x + 4 x −1 8. Convert the following measurements to the indicated unit of measure: a. 8 yards = _____ inches b. 5690 grams = _____ kilograms c. 5 hours = _____ seconds 9. A tree casts a shadow that is 24 feet long. Casey is 5 feet tall and casts a shadow that is 3 feet long. About how tall is the tree? 10. Tennis balls are usually purchased in a tube that holds 3 balls. Each ball has a diameter of 65 millimeters. How many centimeters long is the tube? 11. A baseball weighs about 5.25 ounces. Sam purchases a box of 24 baseballs. What is the weight in pounds of the box of baseballs? 12. A road crew is able to pave 13 miles of road per month. At this rate, how many miles can be paved in a year and a half? 13. Mary has been teaching at Pellissippi State for 19 years. Over the years she has found that on average, five-eighths of her students make an A or a B in her class. If 3565 of her students made an A or B, how many students has she taught? 1. 2. 3. 4. 5. x = = ‐2 6. x = 6 or x = extraneous 7. x = ‐1, 7 is e 8. a) 288 inches b) 5.69 kg c) 18,000 seeconds 4 9. 40 feet 10. 19.5 cm unds 11. 7.875 pou 12. 234 miless dents 13. 5704 stud

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