Rational Expressions
1) Find the excluded values for the algebraic fraction: 2x 6
3x 5 2) Find the excluded values for the algebraic fraction: x5 x x 20
2 3) Perform the indicated operation and simplify your answer: 14 x 2 9 x 60
3
12 x 2 Math 012
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4) Perform the indicated operation and simplify your answer: x 2 9 x 14 3x2 21x
x2
x 9 5) Perform the indicated operation and simplify your answer: 2
5 3x 1 x 5 6) Perform the indicated operation and simplify your answer: 5 3
m2 m3 Math 012
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7) Solve the equation and show the check of your solution(s). If an answer is an excluded
value, please state than on your paper. Use the method discussed in Section 7.7 of our
text, clearing fractions from the equation first. m 5 m2 12m 35 2 2
m2
5m2
m 8) Solve the equation and show the check of your solution(s). If an answer is an excluded
value, please state that on your paper. Use the method discussed in Section 7.7 of our
text, clearing fractions from the equation first. 5x 30 4x
2
x 6 x 11x 30 x 5 Math 012
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9) If a 7-foot tall adult elephant casts an 21-foot shadow, how long is the shadow of the 6foot zookeeper? Use a proportion to set up and solve an equation. Round your answer to
the nearest tenth of a foot if necessary. Answer must include unit of measure. 10) Crystal worked 10 more overtime hours than Justin one week. If Crystal worked 6
overtime hours for every 4 overtime hours that Justin worked, for how many hours of
overtime did each person work? Round your answer to the nearest tenth of an hour if
necessary. Answer must include unit of measure. 11. Practice simplifying square roots.
8√98mn Math 012
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