Deck 7: Rational Expressions and Equations

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Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.  <div style=padding-top: 35px>
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SOLVE
SOLVE  <div style=padding-top: 35px>
Question
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.  <div style=padding-top: 35px>
Question
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.  <div style=padding-top: 35px>
Question
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.  <div style=padding-top: 35px>
Question
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.  <div style=padding-top: 35px>
Question
Evaluate the rational function.
Evaluate the rational function.  <div style=padding-top: 35px>
Question
Evaluate the rational function.
Evaluate the rational function.  <div style=padding-top: 35px>
Question
SOLVE
SOLVE  <div style=padding-top: 35px>
Question
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.  <div style=padding-top: 35px>
Question
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.  <div style=padding-top: 35px>
Question
Find the domain of the rational function.
Find the domain of the rational function.  <div style=padding-top: 35px>
Question
SOLVE
SOLVE   D)<div style=padding-top: 35px>
D)
Question
Evaluate the rational function.
Evaluate the rational function.  <div style=padding-top: 35px>
Question
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.  <div style=padding-top: 35px>
Question
SOLVE
SOLVE  <div style=padding-top: 35px>
Question
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.  <div style=padding-top: 35px>
Question
SOLVE
SOLVE  <div style=padding-top: 35px>
Question
Evaluate the rational function.
Evaluate the rational function.  <div style=padding-top: 35px>
Question
Find the domain of the rational function.
Find the domain of the rational function.  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.  <div style=padding-top: 35px>
Question
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Determine whether the two binomials are or are not opposites.
x - 4 and 4 - x

A) Opposites
B) Not opposites
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Find the domain of the rational function.
Find the domain of the rational function.  <div style=padding-top: 35px>
Question
Find the domain of the rational function.
Find the domain of the rational function.  <div style=padding-top: 35px>
Question
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.  <div style=padding-top: 35px>
Question
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.  <div style=padding-top: 35px>
Question
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.  <div style=padding-top: 35px>
Question
Find the domain of the rational function.
Find the domain of the rational function.  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Determine whether the two binomials are or are not opposites.
3 - x and x - 3

A) Opposites
B) Not opposites
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).  <div style=padding-top: 35px>
Question
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).  <div style=padding-top: 35px>
Question
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).  <div style=padding-top: 35px>
Question
Determine whether the two binomials are or are not opposites.
-7x - 3 and 7x + 3

A) Opposites
B) Not opposites
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Determine whether the two binomials are or are not opposites.
x + 7 and 7 + x

A) Opposites
B) Not opposites
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Find the missing numerator and denominator.
Find the missing numerator and denominator.  <div style=padding-top: 35px>
Question
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Find the missing numerator and denominator.
Find the missing numerator and denominator.  <div style=padding-top: 35px>
Question
Find the missing numerator and denominator.
Find the missing numerator and denominator.  <div style=padding-top: 35px>
Question
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).  <div style=padding-top: 35px>
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Determine whether the two binomials are or are not opposites.
6x + 7 and -6x + 7

A) Opposites
B) Not opposites
Question
Determine whether the two binomials are or are not opposites.
2x - 5 and 5x - 2

A) Opposites
B) Not opposites
Question
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)  <div style=padding-top: 35px>
Question
Divide.
Divide.  <div style=padding-top: 35px>
Question
Add.
Add.  <div style=padding-top: 35px>
Question
Divide.
Divide.  <div style=padding-top: 35px>
Question
For the given functions f(x) and g(x), find f(x) ÷ g(x).
For the given functions f(x) and g(x), find f(x) ÷ g(x).  <div style=padding-top: 35px>
Question
Divide.
Divide.  <div style=padding-top: 35px>
Question
For the given functions f(x) and g(x), find f(x) ÷ g(x).
For the given functions f(x) and g(x), find f(x) ÷ g(x).  <div style=padding-top: 35px>
Question
For the given functions f(x) and g(x), find f(x) ÷ g(x).
For the given functions f(x) and g(x), find f(x) ÷ g(x).  <div style=padding-top: 35px>
Question
Find the missing numerator and denominator.
Find the missing numerator and denominator.  <div style=padding-top: 35px>
Question
For the given functions f(x) and g(x), find f(x) ÷ g(x).
For the given functions f(x) and g(x), find f(x) ÷ g(x).  <div style=padding-top: 35px>
Question
Find the missing numerator and denominator.
Find the missing numerator and denominator.  <div style=padding-top: 35px>
Question
Divide.
Divide.  <div style=padding-top: 35px>
Question
Divide.
Divide.  <div style=padding-top: 35px>
Question
Divide.
Divide.  <div style=padding-top: 35px>
Question
Divide.
Divide.  <div style=padding-top: 35px>
Question
Find the missing numerator and denominator.
Find the missing numerator and denominator.  <div style=padding-top: 35px>
Question
Find the missing numerator and denominator.
Find the missing numerator and denominator.  <div style=padding-top: 35px>
Question
Divide.
Divide.  <div style=padding-top: 35px>
Question
Add.
Add.  <div style=padding-top: 35px>
Question
Divide.
Divide.  <div style=padding-top: 35px>
Question
Find the missing numerator and denominator.
Find the missing numerator and denominator.  <div style=padding-top: 35px>
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Deck 7: Rational Expressions and Equations
1
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.
A
2
SOLVE
SOLVE
B
3
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.
D
4
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.
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Unlock for access to all 193 flashcards in this deck.
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5
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.
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Unlock for access to all 193 flashcards in this deck.
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6
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.
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Unlock for access to all 193 flashcards in this deck.
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7
Evaluate the rational function.
Evaluate the rational function.
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Unlock for access to all 193 flashcards in this deck.
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8
Evaluate the rational function.
Evaluate the rational function.
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9
SOLVE
SOLVE
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10
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.
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11
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.
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12
Find the domain of the rational function.
Find the domain of the rational function.
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13
SOLVE
SOLVE   D)
D)
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14
Evaluate the rational function.
Evaluate the rational function.
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15
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.
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16
SOLVE
SOLVE
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17
Find all values of the variable for which the rational expression is undefined.
Find all values of the variable for which the rational expression is undefined.
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18
SOLVE
SOLVE
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19
Evaluate the rational function.
Evaluate the rational function.
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20
Find the domain of the rational function.
Find the domain of the rational function.
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21
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
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22
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
23
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
24
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
25
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
26
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
27
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
28
Determine whether the two binomials are or are not opposites.
x - 4 and 4 - x

A) Opposites
B) Not opposites
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
29
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
30
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
31
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
32
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
33
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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34
Find the domain of the rational function.
Find the domain of the rational function.
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Unlock for access to all 193 flashcards in this deck.
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35
Find the domain of the rational function.
Find the domain of the rational function.
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Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
36
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
37
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
38
Identify the given function as a linear function, a quadratic function, or a rational function.
Identify the given function as a linear function, a quadratic function, or a rational function.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
39
Find the domain of the rational function.
Find the domain of the rational function.
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Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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40
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
41
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
42
Determine whether the two binomials are or are not opposites.
3 - x and x - 3

A) Opposites
B) Not opposites
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
43
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
44
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
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45
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
46
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
47
Determine whether the two binomials are or are not opposites.
-7x - 3 and 7x + 3

A) Opposites
B) Not opposites
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
48
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
49
Determine whether the two binomials are or are not opposites.
x + 7 and 7 + x

A) Opposites
B) Not opposites
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
50
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
51
Find the missing numerator and denominator.
Find the missing numerator and denominator.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
52
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
53
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
54
Find the missing numerator and denominator.
Find the missing numerator and denominator.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
55
Find the missing numerator and denominator.
Find the missing numerator and denominator.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
56
For the given functions f(x) and g(x), find f(x) ∙ g(x).
For the given functions f(x) and g(x), find f(x) ∙ g(x).
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
57
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
58
Determine whether the two binomials are or are not opposites.
6x + 7 and -6x + 7

A) Opposites
B) Not opposites
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
59
Determine whether the two binomials are or are not opposites.
2x - 5 and 5x - 2

A) Opposites
B) Not opposites
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
60
Simplify the rational expression. (Assume the denominator is nonzero.)
Simplify the rational expression. (Assume the denominator is nonzero.)
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
61
Divide.
Divide.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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62
Add.
Add.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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63
Divide.
Divide.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
64
For the given functions f(x) and g(x), find f(x) ÷ g(x).
For the given functions f(x) and g(x), find f(x) ÷ g(x).
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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65
Divide.
Divide.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
66
For the given functions f(x) and g(x), find f(x) ÷ g(x).
For the given functions f(x) and g(x), find f(x) ÷ g(x).
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
67
For the given functions f(x) and g(x), find f(x) ÷ g(x).
For the given functions f(x) and g(x), find f(x) ÷ g(x).
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
68
Find the missing numerator and denominator.
Find the missing numerator and denominator.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
69
For the given functions f(x) and g(x), find f(x) ÷ g(x).
For the given functions f(x) and g(x), find f(x) ÷ g(x).
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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70
Find the missing numerator and denominator.
Find the missing numerator and denominator.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
71
Divide.
Divide.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
72
Divide.
Divide.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
73
Divide.
Divide.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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74
Divide.
Divide.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
k this deck
75
Find the missing numerator and denominator.
Find the missing numerator and denominator.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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76
Find the missing numerator and denominator.
Find the missing numerator and denominator.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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77
Divide.
Divide.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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78
Add.
Add.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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79
Divide.
Divide.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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80
Find the missing numerator and denominator.
Find the missing numerator and denominator.
Unlock Deck
Unlock for access to all 193 flashcards in this deck.
Unlock Deck
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locked card icon
Unlock Deck
Unlock for access to all 193 flashcards in this deck.