8.1 Review Worksheet, Part 1 (continued)
11. The number of days it takes a movie crew to set up a stage for a scene varies inversely as the number of workers. If the stage can be set up in 3 days by 20 workers, how many days would it take if only 12 workers were available?
8.1.2 Multiplying and Dividing Rational Expressions Simplify. Identify any x -values for which the expression is undefined. 12. x x x 4 8 2 2 − − 13. x x x 8 4 2 9 5 2 − + − 14. x x x 36 12 36 2 2 − − +
16. x x x 2 9 4 81 2 2 − − −
17. x
x 3 18 + − −
x 4 20 5 + − −
15.
2
x x
24 2
Multiply. Assume that all expressions are defined. 18. x y xy x y x 4 6 3 2 5 4 ⋅ ⋅ 19.
x x
x 2 1 4 x − +
4 3
− −
⋅
2
2
2
21. x
x x x 4 20 25 4 2 − + −
x 3 12 2 5 x − −
20. x x x 2
x 3 10 8 16 x + + − x 2
2 8
− − −
⋅
⋅
9 16
Divide. Assume that all expressions are defined. 22. x x x x x x x 4 15 9 8 10 3 4 2 1 2 2 2 + + + + ÷ + +
23. x x x x 2 2
x x x 2 2
4 5 3 2
3 10 4
− − − +
− − −
÷
25. x x x x 2 2
x x x x 2 2
24. x x
2 4
x 1 3 12 −
2 3 2
2 15 6
+ −
− − − −
+ − + −
÷
÷
198
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