Rationals Unit Flashcards

Front

Steps to Multiplying Rational Expressions

Back

1) Factor what you can (check for GCF first)

2) Cancel Common Factors

Front

Steps to Dividing Rational Expressions

Back

1) Keep, Change, Flip

2) Factor what you can (check for GCF first)

3) Cancel Common Factors

Front

Steps to Adding/Subtracting Rational Expressions

Back

1) Factor denominators only

2) Find LCD and multiply each fraction by the missing part

3) Combine like terms in numerator

4) Check if you can factor the numerator

5) If possible: cancel any common factors

Front

Steps to Solving a Rational Equation when 1 fraction = 1 fraction

Back

1) Cross Multiply (this gets rid of fractions)

2) Solve the remaining equation

3) Check for extraneous solutions

Front

Steps to Solving a Rational Equation with multiple fractions

Back

1) Factor Denominators

2) Find LCD and multiply all fractions by missing term(s)

3) Solve remining equation (there should be no more fractions)

4) Check for Extraneous Solutions

Front

How to find x-intercept of Rational Function

Back

Set numerator =0 and solve. (Write answer as coordinate point)

Front

How to find Vertical Asymptote of Rational Function

Back

1) Factor top and bottom of fraction and use simplified fraction

2) Set any remaining factors in the denominator =0 and solve

3) Answer should be x=# format

Front

How to find any Holes of Rational Function

Back

1) Factor top and bottom of fraction

2) If something cancels you have a hole:

3) Set cancelled factor =0 and solve

4) Plug in x from step 3 and find your y-value

5) Answer should be a coordinate point (x,y)

Front

How to you know your Horizontal Asymptote is y=0?

Back

Bottom Heavy (degree in denominator is bigger than numerator)

Front

How do you know your Horizontal Asymptote is a ratio?

Back

Numerator and Denominator have the same degree. You can the Leading Coefficients of both to make your ratio