solve rational equations multiply add & subtract divide & simplify graph rational functions...
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Solve Rational Equations
Multiply Add &
Subtract
Divide &
Simplify
Graph Rational Functions
Inverse Variatio
n
$500$500$500$500$500
$400$400$400$400$400
$300$300$300$300$300
$200$200$200$200$200
$100$100$100$100 $100
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Inverse Variation- $100
ANSWER
Is this Inverse Variation?
2y x
Inverse Variation- $200
ANSWER
Is this Inverse Variation?
2 8xy
Inverse Variation- $300
ANSWER
varies inversely with
if 3 when 6,
what is the constant of variation?
y x
y x
Inverse Variation - $400
ANSWER
varies inversely with
if 2 when 12,
write an equation that relates and
y x
y x
x y
Inverse Variation - $500
ANSWER
Graphs of Rational Functions - $100
ANSWER
What is the name of the graph
of the parent rational function?
Graphs of Rational Functions - $200
ANSWER
What is the domain and range of the
graph of the parent rational function?
Graphs of Rational Functions - $300
ANSWER
6How does the graph of
compare to the parent graph?
yx
-=
Graphs of Rational Functions - $400
ANSWER
What are the vertical and
horizontal asymptotes of
32
5y
x= +
-
Graphs of Rational Functions - $500
ANSWER
Divide & Simplify - $100
ANSWER
4 3 2(30 12 6 ) ( 6 )x x x x- + ¸ -
Divide & Simplify - $200
ANSWER
2( 16 49) ( 8)y y y- + ¸ -
Divide & Simplify - $300
ANSWER
Simplify the Rational Expression,
if possible. State the excluded value(s).
3 15
4 20
a
a
--
Divide & Simplify - $400
ANSWER
2
2
Simplify the Rational Expression,
if possible. State the excluded value(s).
4 77
13 22
r r
r z
- -
- +
Divide & Simplify - $500
ANSWER
2(9 6) ( 4 3 )m m- ¸ - +
Multiply, Divide, Add & Subtract- $100
ANSWER
2
2
3 10 5
2 4 2 15
x x x
x x x
+ -×
- + -
Multiply, Divide, Add & Subtract - $200
ANSWER
2 2
2
3 12 2 7 6
2 2 6
r r r
r r r
- + +¸
- - -
Multiply, Divide, Add & Subtract- $300
ANSWER
2
8 3
5 2t t+
Multiply, Divide, Add & Subtract- $400
ANSWER
2 7 8
1 5
n n
n n
+-
- +
Multiply, Divide, Add & Subtract - $500
ANSWER
2 2
1 1
49 10 21
p p
p p p
+ -+
- + +
Solve Rational Equations- $100
ANSWER
2 5 =
2 9
x
x
-+
Solve Rational Equations- $200
ANSWER
7 4 =
1 4u u+ +
Solve Rational Equations- $300
ANSWER
2
11 11 121 =
11 6 55
b b
b b b
+ +- - -
Solve Rational Equations- $400
ANSWER
2
8 5 = 1
4 2 24
x
x x x-
+ - -
Solve Rational Equations- $500
ANSWER
2
5 2 27 =
4 3 12
x x
x x x x
-+
+ - + -
****Answers****
Inverse Variation- $100
DONE
no
Is this Inverse Variation?
2y x
Inverse Variation - $200
DONE
yes
Is this Inverse Variation?
2 8xy
DONE
18a=-
Inverse Variation- $300
varies inversely with
if 3 when 6,
what is the constant of variation?
y x
y x
DONE
24y
x
-=
Inverse Variation - $400
varies inversely with
if 2 when 12,
write an equation that relates and
y x
y x
x y
Inverse Variation - $500
DONE
5inverse variation y
x
-=
Graphs of Rational Functions - $100
DONE
hyperbola
What is the name of the graph
of the parent rational function?
Graphs of Rational Functions - $200
DONE
: all Real, 0
: all Real, y 0
Domain x
Range
¹
¹
What is the domain and range of the
graph of the parent rational function?
Graphs of Rational Functions - $300
DONE
6reflection vertical stretchd byan
6How does the graph of
compare to the parent graph?
yx
-=
Graphs of Rational Functions - $400
DONE
vertical: 5
horizontal: 2
x
y
=
=
What are the vertical and
horizontal asymptotes of
32
5y
x= +
-
DONE
Graphs of Rational Functions - $500
Divide & Simplify - $100
DONE
3 25 2x x x- + -
4 3 2(30 12 6 ) ( 6 )x x x x- + ¸ -
Divide & Simplify - $200
DONE
158
8y
y
-- +
-
2( 16 49) ( 8)y y y- + ¸ -
Divide & Simplify - $300
DONE
Simplify the Rational Expression,
if possible. State the excluded value(s).
3 15
4 20
a
a
--
3; 5
4a ¹
Divide & Simplify - $400
DONE
2
2
Simplify the Rational Expression,
if possible. State the excluded value(s).
4 77
13 22
r r
r z
- -
- +
7; 2 or 11
2
ra
r
-¹
-
Divide & Simplify - $500
DONE
2(9 6) ( 4 3 )m m- ¸ - +
103 4
3 4m
m+ +
-
Mult., Div., Add & Subtr. - $100
DONE
5
2( 3)
x
x -
2
2
3 10 5
2 4 2 15
x x x
x x x
+ -×
- + -
Mult., Div., Add & Subtr. - $200
DONE
2 2
2
3 12 2 7 6
2 2 6
r r r
r r r
- + +¸
- - -
3( 4)
( 2)
r
r
-+
Mult., Div., Add & Subtr. - $300
DONE
2
16 15
10
t
t
+
2
8 3
5 2t t+
Mult., Div., Add & Subtr. - $400
DONE
26 25 35
( 1)( 5)
n n
n n
- + +- +
2 7 8
1 5
n n
n n
+-
- +
Mult., Div., Add & Subtr. - $500
DONE
22 4 10
( 7)( 7)( 3)
p p
p p p
- +- + +
2 2
1 1
49 10 21
p p
p p p
+ -+
- + +
Solve Rational Equations- $100
DONE
2 5 =
2 9
x
x
-+
4
7
x
x
=-
=
Solve Rational Equations- $200
DONE
7 4 =
1 4u u+ +
8u=-
Solve Rational Equations- $300
DONE
2
11 11 121 =
11 6 55
b b
b b b
+ +- - -
11
6
b
b
=-
=
Solve Rational Equations- $400
DONE
2
8 5 = 1
4 2 24
x
x x x-
+ - -
9
8
x
x
=-
=
Solve Rational Equations- $500
DONE
no solution
. . : 3 and -4!e v
2
5 2 27 =
4 3 12
x x
x x x x
-+
+ - + -
CONTINUE
CONTINUE
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