Solving Rationals
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Courtney Hudson
Used 2+ times
FREE Resource
9 Slides • 8 Questions
1
Solving Rationals
So far, you have been simplifying rational expressions.
Now it's time to solve!
Biggest difference: You used the LCD to create and leave common denominators, but now you need to eliminate the denominator!
Subject | Subject
2
Steps to Solving Rationals
Check your answer
Factor the denominators (unless you are cross multiplying)
List all restrictions (numbers that make the denominator zero)
Find the LCD and multiply both sides by it in order to clear the fractions (unless cross multiplying)
Solve remaining equation
3
Open Ended
Why can't the denominator be zero?
4
Extraneous Solutions
-False solutions ----- you MUST check for these
-NEED to be excluded from the solution set
-Set the denominator equal to zero and solve for x
Subject | Subject
5
Multiple Choice
Which fraction has a denominator that equals 0 when x=4
−65x+9
−4+x−8b+6
4+x−6x2+3x
6
Reorder
Put the steps in order
Factor the denominator if possible
Find the LCD
Multiply everything by the LCD
Simplify
Check your answer
7
Look over the example on page 10 of your notes.
Then move to example #1
8
Multiple Choice
What is the LCD for #1?
x+3
108x+27
6(x+3)
9
Step by Step
10
Fill in the Blanks
Type answer...
11
Multiple Select
Look at #2, what are the undefined terms for #2?
-5
5
-3
1
12
13
#3
14
Multiple Select
What are the undefined range values?
-1
1
0
6
15
Multiple Select
What are the undefined values for #4?
-2
2
-5
5
16
#4
17
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:
Complete Solving Radicals Classwork on Canvas
Study, your unit test is on 11/18 and you have a quiz tomorrow.
IXL diagnostic or practice rational expression/equation skills on IXL
Some text here about the topic of discussion
Solving Rationals
So far, you have been simplifying rational expressions.
Now it's time to solve!
Biggest difference: You used the LCD to create and leave common denominators, but now you need to eliminate the denominator!
Subject | Subject
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