(Inverse)
Variation
Graph
Rational
Add &
Subtract
Solve Rational
Functions
Multiply,
Divide,
Simplify
$100
$100
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$100
$200
$200
$200
$200
$200
$300
$300
$300
$300
$300
$400
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$400
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$500
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$500
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$500
Equations
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Inverse Variation- $100
ANSWER
Inverse Variation- $200
Is this Inverse V ariation?
2 xy  8
ANSWER
Inverse Variation- $300
y varies inversely w ith x
if y  3 w hen x   6,
w hat is the constant of variation?
ANSWER
Inverse Variation - $400
y varies inversely w ith x
if y  2 w hen x   12,
w rite an equation that relates x and y
ANSWER
Inverse Variation - $500
The number of bags of grass seed,
n, needed to reseed a yard varies
directly with the area, a, to be
seeded and inversely with the
weight, w, of a bag of seed. If it
takes two 3 lb bags to seed an
area of 3600 ft2, how many 3 lb
bags will seed 9000 ft2?
ANSWER
Graphs of Rational Functions $100
W hat are the vertical and
horizontal asym ptotes of
y=
3
+ 2
x- 5
ANSWER
Graphs of Rational Functions $200
ANSWER
Graphs of Rational Functions $300
Find the vertical asymptote(s) and hole(s) for:
x 9
2
f ( x) 
x  8 x  15
2
ANSWER
Graphs of Rational Functions $400
Find the points of discontinuity for:
3x  6
2
f ( x) 
2x  x  3
2
ANSWER
Graphs of Rational Functions $500
Sketch the graph:
y 
 2
x 1
3
ANSWER
Multiply, Divide, Simplify - $100
x2

4x  6
2x  3 x  4
2
ANSWER
Multiply, Divide, Simplify - $200
x  16
x2
2

x  4x  4 x  6x  8
2
2
ANSWER
Multiply, Divide, Simplify - $300
S im p lify th e R a tion a l E x p re ssion ,
if p ossib le . S ta te th e e x c lu d e d va lu e (s ).
3a - 1 5
4a - 20
ANSWER
Multiply, Divide, Simplify - $400
S im p lify th e R a tion a l E x p re ssion ,
if p ossib le . S ta te th e e x c lu d e d va lu e (s ).
2
r - 4 r - 77
2
r - 13z + 22
ANSWER
Multiply, Divide, Simplify - $500
x  2x  3
2
x x2
2
x  2 x  15
2

x  x6
2
ANSWER
Add & Subtract- $100
8
5t
+
3
2t
2
ANSWER
Add & Subtract - $200
x
x 1

2x 1
x  3x  2
2
ANSWER
Add & Subtract- $300
2n + 7
n- 1
-
8n
n+ 5
ANSWER
Add & Subtract- $400
x2
x  2x
2

x2
2x  4
ANSWER
Add & Subtract - $500
p+ 1
2
p - 49
+
p- 1
2
p + 10 p + 21
ANSWER
Solve Rational Equations- $100
7
u+ 1
=
4
u+ 4
ANSWER
Solve Rational Equations- $200
2
x+ 2
=
x- 5
9
ANSWER
Solve Rational Equations- $300
8
x+ 4
=
5x
2
- 1
x - 2 x - 24
ANSWER
Solve Rational Equations- $400
1
x 1

1
x 1

2
x 1
2
ANSWER
Solve Rational Equations- $500
5
x+ 4
=
x
x- 3
+
2 x - 27
2
x + x - 12
ANSWER
****Answers****
Inverse Variation- $100
inverse variation
y=
- 5
x
DONE
Inverse Variation - $200
Is this Inverse V ariation?
2 xy  8
yes
DONE
Inverse Variation- $300
y varies inversely w ith x
if y  3 w hen x   6,
w hat is the constant of variation?
k = -18
DONE
Inverse Variation - $400
y varies inversely w ith x
if y  2 w hen x   12,
w rite an equation that relates x and y
y=
- 24
x
DONE
Inverse Variation - $500
The number of bags of grass seed, n, needed
to reseed a yard varies directly with the area,
a, to be seeded and inversely with the weight,
w, of a bag of seed. If it takes two 3 lb bags
to seed an area of 3600 ft2, how many 3 lb
bags will seed 9000 ft2?
5 bags
DONE
Graphs of Rational Functions $100
W hat are the vertical and
horizontal asym ptotes of
y=
3
+ 2
x- 5
vertical: x = 5
h orizon tal: y = 2
DONE
Graphs of Rational Functions $200
DONE
Graphs of Rational Functions $300
Find the vertical asymptote(s) and hole(s) for:
x 9
2
f ( x) 
x  8 x  15
2
Hole @ x = 3
VA @ x = 5
DONE
Graphs of Rational Functions $400
Find the points of discontinuity for:
3x  6
2
f ( x) 
2x  x  3
2
Holes @ x = 3/2, x = -1
DONE
Graphs of Rational Functions $500
Sketch the graph:
y 
 2
x 1
3
DONE
Multiply, Divide, Simplify - $100
x2

4x  6
2x  3 x  4
2
2 /( x  2 )
DONE
Multiply, Divide, Simplify - $200
x  16
x2
2

x  4x  4 x  6x  8
2
2
x4
( x  2 )( x  2 )
DONE
Multiply, Divide, Simplify - $300
S im p lify th e R a tion a l E x p re ssion ,
if p ossib le . S ta te th e e x c lu d e d va lu e (s ).
3a - 1 5
4a - 20
3
;
a¹ 5
4
DONE
Multiply, Divide, Simplify - $400
S im p lify th e R a tion a l E x p re ssion ,
if p ossib le . S ta te th e e x c lu d e d va lu e (s ).
2
r - 4 r - 77
2
r - 13z + 22
r- 7
;
a ¹ 2 or 1 1
r- 2
DONE
Multiply, Divide, Simplify - $500
x  2x  3
2
x x2
2
x  2 x  15
2

x  x6
2
x3
x5
DONE
Add & Subtr. - $100
8
3
+
5t
2t
2
16 t + 15
10 t
2
DONE
Add & Subtr. - $200
DONE
Add & Subtr. - $300
2n + 7
n- 1
-
8n
n+ 5
2
- 6 n + 25 n + 35
( n - 1)( n + 5)
DONE
Add & Subtr. - $400
DONE
Add & Subtr. - $500
p+ 1
2
+
p - 49
p- 1
2
p + 10 p + 21
2
2 p - 4 p + 10
( p - 7 )( p + 7 )( p + 3)
DONE
Solve Rational Equations- $100
7
u+ 1
4
=
u+ 4
u= - 8
DONE
Solve Rational Equations- $200
2
=
x- 5
x+ 2
9
x= - 4
x= 7
DONE
Solve Rational Equations- $300
8
x+ 4
=
5x
2
- 1
x - 2 x - 24
x= - 9
x= 8
DONE
Solve Rational Equations- $400
1
x 1

1
x 1

2
x 1
2
DONE
Solve Rational Equations- $500
5
x+ 4
=
x
x- 3
2 x - 27
+
2
x + x - 12
no solution
e . v . : 3 and -4!
DONE
CONTINUE
CONTINUE
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