Solve. 13. A messenger is required to deliver 10 packages per day. Each day, the messenger works only for as long as it takes to deliver the daily quo...
2 x 2 + 13 x − 24 7 x + 56 ________________________________________
Add or subtract. Identify any x-values for which the expression is undefined.
7.
2x − 3 4 x − 5 + x+4 x+4
8.
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9.
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x+4 2x + 2 x − x − 12 x − 4
10.
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11.
x + 12 3 x − 2 − 2x − 5 2x − 5
3x 2 − 1 x+2 − 2 x − 3 x − 18 x − 6 ________________________________________
x+2 x + x − 2 x − 15 x + 3
12.
2
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x+6 2x − x − 7 x − 18 x − 9 2
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Solve.
13. A messenger is required to deliver 10 packages per day. Each day, the messenger works only for as long as it takes to deliver the daily quota of 10 packages. On average, the messenger is able to deliver 2 packages per hour on Saturday and 4 packages per hour on Sunday. What is the messenger’s average delivery rate on the weekend? _________________________________________________________________________________________
Name ________________________________________ Date __________________ Class __________________ LESSON
9-1
Adding and Subtracting Rational Expressions Practice and Problem Solving: Modified
Identify the excluded values for each expression. The first one is done for you. 50 x 2 20 x 3 1. 2. 30 x 4 x 2 − 12 x
x ≠0 ________________________________________
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Simplify the given expression stating any excluded values. The first one is done for you. 30 x 7x 2 3. 4. 3 21x 2 + 15 x 70 x 1 ; x ≠0 10 x ________________________________________ ________________________________________
5.
21x − 9 15 x + 6
6.
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6 x + 24 x + 11x + 28 2
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Add or subtract. Identify any x-values for which the expression is undefined. The first one is done for you. x 2x 3x − 1 5x − 2 + − 7. 8. x +1 x +1 2x − 5 2x − 5 3x ; x ≠ −1 x +1 ________________________________________ ________________________________________
9.
4 x + 1 2x + 7 + x−4 x−4
10.
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11.
6 2x − x x+2 ________________________________________