Showing posts with label subtract. Show all posts
Showing posts with label subtract. Show all posts

Wednesday, May 1, 2013

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.


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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Tuesday, November 6, 2012

Adding and Subtracting Rational Expressions

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.
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:


Sunday, November 4, 2012

Adding and Subtracting Polynomials

Adding polynomials requires us to first identify then combine like terms. Remember that like terms are terms with the exact same variable part.
Add the polynomials.
When subtracting polynomials you distribute the negative one first and then identify and combine like terms.

Subtract the polynomials.
We may encounter function notation,
In this case, just add or subtract the given polynomials as we did in the above examples.

For the given functions find (f + g)(x) and (f - g)(x).
Video Examples on YouTube: