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Elementary Algebra Exam #4

Click on the 10 question exam covering topics in chapter 7 (Rational Expressions and Equations). Give yourself one hour to try all of the problems and then come back and check your answers.

[ PDF -> Elementary Algebra Sample Exam #4 ]

Simplify (Assume all denominators are nonzero.)

Perform the operations and state the restrictions.

Solve.

10. The sum of the reciprocals of two consecutive odd integers is 4/3. Set up an algebraic equation and use it to find the two integers.

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J. Redden on Google+

Elementary Algebra Exam #4 by John Redden is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

Chapter 7 Sample Test Questions

Click here for a worksheet containing 20 sample test questions with answers.

[ Sample Test Questions Chapter 7 ]

Word Problems

Example: The sum of the reciprocals of two consecutive odd integers is 4/3. Set up an algebraic equation and use it to find the two integers.

Example: Norm can paint the office by himself in 5 hours. Cliff could do the same job in 7 hours. If they work together, how long will it take them to paint the office?

Example: An executive went on an 8-hour business trip that required a 165-mile bus ride to the airport then another 2,750 miles by airplane. If the airplane speed was 10 times that of the bus, what is was the average speed of the airplane?

Adding and Subtracting Rational Expressions

Rational Expressions and Equations Playlist on YouTube

When adding or subtracting rational expressions we will need a common denominator.

Simplify the resulting rational expression after adding or subtracting them.

Add or subtract.

If the rational expressions that we are adding or subtracting have unlike denominators then we will need to find the equivalent fractions with the same denominator. To do this multiply both the numerator and denominator of each expression by the factors needed to obtain a common denominator. To help determine the LCD, first factor the denominators.