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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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.

Instructional Video: Adding and Subtracting Rational Expressions

Perform the operations and state the restrictions to the domain.

For the given functions find f(x) - g(x) and state the restrictions to the domain.

Video Examples on YouTube: