8.1 Review Worksheet, Part 2 (continued)
8.1.5 Solving Rational Equations and Inequalities Solve each equation. 16. x x 4 1 10 2 + = 17. =
1 −
n n
5 4
3 4
18.
− −
3
=
a
7
14
x 4 4 + =
x
1 3
19.
20.
21. x
z
9 = −
− =
z
x
4 4
22. x x 4 −
x
23. x x 3 +
x 2 1 1 x − +
12
2 ( 1) −
2
24.
1 = +
+ =
=
x
x x
x
3 2
3
1
1
−
−
25. A passenger jet travels from Los Angeles to Bombay, India, in 22 h. The return flight takes 17 h. The difference in flight times is caused by winds over the Pacific Ocean that blow primarily from west to east. If the jet’s average speed in still air is 550 mi/h, what is the average speed of the wind during the round-trip flight? Round to the nearest mile per hour.
26. A glassblower can produce a set of simple glasses in about 2 h. When the glassblower works with an apprentice, the job takes about 1.5 h. How long would it take the apprentice to make a set of glasses when working alone?
Solve by using a graph and a table. 27. x 1 1 > 28. x x
1 2
+
29. x
2
=
0
≤
+
x 5 −
Solve each inequality algebraically. 30. x 1 3 2 < 31. x 9 4 −
9
32.
6
3
≥ −
>
x
10
+
202
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