## Rewriting Rational Expressions

#### Aligned To Common Core Standard:

**High School** - HSA-APR.D.6

How to Rewrite Rational Expressions- This is a pretty complicated equation to solve, given that there are several expressions that are different from each other. It is even more difficult if you can't recognize the common factors.
For example:
(6x^{2} + 18x + 15) / x + 3
One of the tricks is to rewrite the expression by seeing the expression as a division between a numerator and denominator. While solving this equation, it is recommended that you remember that the denominator cannot be zero.
This equation can easily be solved using the long division method. Why? Let's look at an example: 529/23
Now, if we consider the above equation as a division between the two, we can understand that:
529/23 = 23/1 = 23
Using the process of long division, we can easily rewrite the equation mentioned above.
(6x^{2} + 18x + 15) / x + 3
Rewritten from: (x + 15) / 1. Students can use these worksheets and lesson to understand how rewrite fraction in which the numerator and/or the denominator are polynomials.

### Printable Worksheets And Lessons

- Simplifying Complex
Expressions Step-by-step Lesson- This start out looking a bit
intimidating, but it progresses to a manageable problem very quickly.

- Guided Lesson
- Always remember to get everything into the simplest format.

- Guided Lesson
Explanation - We get you in the habit of canceling and simplifying.

- Practice Worksheet
- These are mostly quotient based. The reason behind that is that
operation appears nine out of ten times on the last ten major AP
Algebra examines. The other operations are often neglected.

- Matching Worksheet
- Match the expression to its simplified form.

#### Homework Sheets

It's all about understanding what the reciprocal process entails.

- Homework 1 - Factor out the GCF of the denominator, in this case g.
- Homework 2 - Cancel the common or like factors.
- Homework 3 - We are in the simplest form.

#### Practice Worksheets

It might be a good idea to review factoring before progressing on to these.

- Practice 1 - Simplify the rational expressions.
- Practice 2 - It is all about identifying the like terms.
- Practice 3 - Simplify the rational expression by rewriting them.

#### Math Skill Quizzes

The first quiz focuses on integers, the second focuses on variables, and the third is a mixed bag.