Solving Rationals

​Solving Rationals

So far, you have been​ simplifying rational expressions.

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Now it's time to solve!

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Biggest difference: You used the LCD to create and leave common denominators, but now you need to eliminate the denominator! ​

Subject | Subject

​Steps to Solving Rationals

​Check your answer

1. Factor the denominators (unless you are cross multipl​ying)

2. ​List all restrictions (numbers that make the denominator zero)

3. Find the LCD and multiply both sides by it in order to clear the fractions (unless cross multiplying)

4. Solve remaining equation​

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Open Ended

Why can't the denominator be zero?

​Extraneous Solutions

​-False solutions ----- you MUST check for these

-NEED to be excluded from the solution set​

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​-Set the denominator equal to zero and solve for x

Subject | Subject

Multiple Choice

Which fraction has a denominator that equals 0 when x=4

• $$\frac{5x+9}{-6}$$  

• $$\frac{-8b+6}{-4+x}$$  

• $$\frac{-6x^2+3x}{4+x}$$  

Reorder

Put the steps in order

• Factor the denominator if possible

• Find the LCD

• Multiply everything by the LCD

• Simplify

• Check your answer

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

​Look over the example on page 10 of your notes.

​

Then move to example #1

Multiple Choice

What is the LCD for #1?

• x+3

• 108x+27

• 6(x+3)

​Step by Step

Fill in the Blanks

What is the undefined term for #1?

Multiple Select

Look at #2, what are the undefined terms for #2?

• -5

• 5

• -3

• 1

​#3

Multiple Select

What are the undefined range values?

• -1

• 1

• 0

• 6

Multiple Select

What are the undefined values for #4?

• -2

• 2

• -5

• 5

​#4

​Next steps:

​If you still don't know what to do, go to Canvas and watch the videos about solving radical equations. There are two pages with videos of example problems

Your tasks for today are:

1. Complete Solving Radicals Classwork on Canvas

2. ​Study, your unit test is on 11/18 and you have a quiz tomorrow.

3. IXL diagnostic or practice rational expression/equation skills on IXL​

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