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1. 2.
ANSWERS
Factor
3.
312 18x x
38
274.
5 1
2 2x x
( 1)( 1)x x x
2
3
26 (2 3)x x
32 3
2 3 4
xy z
x y z
3 15
3
x y
z
Simplify
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Check Homework
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Check Homework (cont)
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PREPRELesson 1.4 Rational Expressions
Objectives:• To review domain• To simplify rational
expressions
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Domain
The domain of an algebraic expression is the set of real numbers that the variable is permitted to have.
x
1
}0{: xD
x
}0{: xD
x
1
}0{: xD
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Vocabulary
A quotient of two algebraic expressions is a
fractional expression.
A rational expression is a fractional
expression where both the numerator and
denominator are polynomials.
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3; 0, 0x yx
3( 2); 2,4
( 2)( 4)
xx
x x
2 1
; 2,33
xx
x
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13
x
54
y
1 3x
x
5 4y
y
1 3x
x
5 4y
y
5 4
y
y
(1 3 )
(5 4 )
y x
x y
3
5 4
y xy
x xy
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1
xy6
2 1
y
y
3 2
2
4 2
2 4
x x x
x x
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Classwork: Book: pg.41, 8-52 eoe
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Classwork: Book: pg.41, 8-52 eoe
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Ex 1. Perform the indicated operation and simplify.
1
123
168
322
2
x
x
xx
xx
Extr
a P
ract
ice
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Multiply or divide and simplify.3)
4) 5)
5
4
16
252
2
x
x
x
x
65
32
1892
942
2
2
2
yy
yy
yy
y
2811152
165
2
2
2
xxxx
xx
Extr
a P
ract
ice
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1)
2)
31
5
x
x
x
22 2
1
4
xx
x
Extr
a P
ract
ice
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Simplify
xy
yx
1
1
Extr
a P
ract
ice