8.1.5 Solving Rational Equations and Inequalities - Worksheet
Example 1: Solve each equation. 1. t t 1 8 2 17 8 + =
1 4 = −
1 −
7
2.
3.
7
=
w
r
r
5
2
m 12 7 + =
k 1 2 + =
x 6
x 1
5 6
4.
5. m
6. k
= −
Example 2: Solve each equation. 7. x x x x 2 2 3 4 2 − + + = +
8. x x −
x
x 6 2 6 x −
3
3 ( 1) +
9.
1 − =
+ =
x x
3 2
x x 2 +
Example 3: 10. A river barge travels at an average of 8 mi/h in still water. The barge travels 60 mi up the Mississippi River and 60 mi down the river in a total of 16.5 h. What is the average speed of the current in this section of the Mississippi River? Round to the nearest tenth.
Example 4: 11. Each month Leo must make copies of a budget report. When he uses both the large and the small copier, the job takes 30 min. If the small copier is broken, the job takes him 50 min. How long will the job take if the large copier is broken?
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