chapter 6 rational equations - mr. sjokvist · 2018. 9. 6. · operations with rational expressions...
TRANSCRIPT
![Page 1: Chapter 6 Rational Equations - Mr. Sjokvist · 2018. 9. 6. · Operations with rational expressions . Ex: simplify m c cf m f 4 15 5 12 2 u m c cf m f 1 3 1 3 2 u •First: cancel](https://reader036.vdocument.in/reader036/viewer/2022071219/6055dabb29fc990f6b0d67ff/html5/thumbnails/1.jpg)
Chapter 6 Rational
Equations
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Rational expressions
• These have a variable in the denominator Ex:
1/x
• We have to be careful of "non-permissible"
values. These are numbers that give an
undefined value.
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Ex: state the non-
permissible value(s)
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Ex: state the non-
permissible values (NPVs)
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What should replace ?
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State the operation to change
the 1st to the 2nd expression
Divide top and bottom by pq?
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Simplify and state any NPVs
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Simplify and state any NPVs
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P. 317 q's 1-9, 18
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Operations with rational
expressions
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• Remember to watch for NPVs!
• Factor any polynomials first, then simplify
• When dividing, multiply by the reciprocal
Operations with rational
expressions
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Ex:
simplify m
c
cf
fm
4
15
5
12 2
m
c
cf
fm
1
3
1
3 2
• First: cancel out common factors
• Next: cancel out or combine common variables
and write as a single fraction or term
0,,;9 mfcm
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Ex: simplify & ID any NPVs
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Ex: simplify & ID any NPVs
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6.3 More operations
• Careful to make sure the denominators are
equal to add or subtract fractions!
• Continue to pay attention to NPVs
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Ex: simplify
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Ex: simplify
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Ex: simplify
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P. 336 q's 1-9, 20
Mini-quiz tomorrow (Venus day)
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Quiz #4
48
358
3
58
22
4
xy
yx
xy
yx
358
48
3
58 2
2
4
yx
xy
xy
yx
1524
3244
333
58 2
2
4
yx
yx
yx
yx
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Quiz #4
15
198
x
y
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Quiz #5
)73)(73(
)73)(158(
xx
xx
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6.4 Rational Equations • Can we use our rational skills to solve the
problem?
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Ex: solve for f
1213 f 1f
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Ex: solve
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Ex: word problem
• Two hoses together fill a pool in 2h, but hose A
fills the pool in 3h. How long to fill the pool using
only hose B?
• Try writing a rational equation representing what
fractions of the pool are filled in one hour
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P. 348 q's 1-7, 22
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Chapter Review P. 352
odds
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Practice Test P. 355
odds