Deck 7: Rational Expressions and Equations
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Deck 7: Rational Expressions and Equations
1
Multiply. Do not simplify.

A)
B)
C)
D)

A)

B)

C)

D)

A
2
Simplify.
-
A) 3
B)
C)
D)
-

A) 3
B)

C)

D)


3
Find all numbers for which the rational expression is not defined.

A) None
B) a = 9
C) a = -9
D) a = 0

A) None
B) a = 9
C) a = -9
D) a = 0
B
4
Find all numbers for which the rational expression is not defined.

A) b = 0
B) None
C) b = -8
D) b = 8

A) b = 0
B) None
C) b = -8
D) b = 8
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5
Find all numbers for which the rational expression is not defined.

A) x = 0
B) x = 9 and x = -9
C) x = -3 and x = -4
D) x = 3 and x = 4

A) x = 0
B) x = 9 and x = -9
C) x = -3 and x = -4
D) x = 3 and x = 4
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6
Simplify.

A)
B)
C)
D) 2mp

A)

B)

C)

D) 2mp
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7
Find all numbers for which the rational expression is not defined.

A) None
B) c = 7
C) c = -7
D) c = 0

A) None
B) c = 7
C) c = -7
D) c = 0
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8
Find all numbers for which the rational expression is not defined.

A) b = 24
B) b = 0
C) b = 4
D) b = -6

A) b = 24
B) b = 0
C) b = 4
D) b = -6
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9
Simplify.

A)
B) 10
C) 3k
D)

A)

B) 10
C) 3k
D)

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10
Find all numbers for which the rational expression is not defined.

A)
B) y = 4
C) y = 4 and y = -4
D) y = 16

A)

B) y = 4
C) y = 4 and y = -4
D) y = 16
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11
Simplify.

A) 2
B) 10x - 10
C) -2
D) 5x - 5

A) 2
B) 10x - 10
C) -2
D) 5x - 5
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12
Find all numbers for which the rational expression is not defined.

A) x = -4 and x = 6
B) x = 4 and x = -4
C) x = 4 and x = -6
D) x = 0

A) x = -4 and x = 6
B) x = 4 and x = -4
C) x = 4 and x = -6
D) x = 0
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13
Find all numbers for which the rational expression is not defined.

A) x = -5 and x = 7
B) x = 5 and x = -5
C) x = 5 and x = -7
D) x = 0

A) x = -5 and x = 7
B) x = 5 and x = -5
C) x = 5 and x = -7
D) x = 0
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14
Multiply. Do not simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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15
Simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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16
Find all numbers for which the rational expression is not defined.

A) d = 2, 5
B) d = -2
C) d = 2
D) None

A) d = 2, 5
B) d = -2
C) d = 2
D) None
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17
Multiply. Do not simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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18
Multiply. Do not simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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19
Simplify.

A)
B)
C) 5x + 1
D)

A)

B)

C) 5x + 1
D)

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20
Multiply. Do not simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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21
Simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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22
Multiply and, if possible, simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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23
Simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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24
Find the reciprocal.

A)
B)
C)
D)

A)

B)

C)

D)

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25
Simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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26
Multiply and, if possible, simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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27
Multiply and, if possible, simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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28
Find the reciprocal.

A)
B)
C)
D)

A)

B)

C)

D)

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29
Find the reciprocal.

A)
B)
C)
D)

A)

B)

C)

D)

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30
Find the reciprocal.

A)
B)
C)
D)

A)

B)

C)

D)

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31
Find the reciprocal.

A)
B)
C)
D)

A)

B)

C)

D)

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32
Simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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33
Multiply and, if possible, simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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34
Simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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35
Find the reciprocal.

A)
B)
C)
D)

A)

B)

C)

D)

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36
Multiply and, if possible, simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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37
Find the reciprocal.

A)
B)
C)
D)

A)

B)

C)

D)

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38
Multiply and, if possible, simplify.

A)
B) 4z
C)
D)

A)

B) 4z
C)

D)

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39
Find the reciprocal.

A)
B)
C)
D)

A)

B)

C)

D)

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40
Multiply and, if possible, simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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41
Divide and simplify.

A)
B) 1
C)
D) -1

A)

B) 1
C)

D) -1
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42
Find the LCM.
-
A)
B)
C)
D)
-

A)

B)

C)

D)

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43
Divide and simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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44
Find the LCM.

A)
B)
C)
D)

A)

B)

C)

D)

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45
Divide and simplify.

A)
B)
C) z - 4
D)

A)

B)

C) z - 4
D)

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46
Add, first finding the LCD. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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47
Add, first finding the LCD. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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48
Add, first finding the LCD. Simplify, if possible.
1
A)
B)
C)
D)
1

A)

B)

C)

D)

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49
Divide and simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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50
Find the LCM.
10, 12, 30
A) 30
B) 60
C) 12
D) 20
10, 12, 30
A) 30
B) 60
C) 12
D) 20
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51
Divide and simplify.

A) 2
B)
C) -2
D) -4

A) 2
B)

C) -2
D) -4
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52
Find the LCM.
54, 12
A) 54
B) 18
C) 36
D) 108
54, 12
A) 54
B) 18
C) 36
D) 108
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53
Add, first finding the LCD. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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54
Find the LCM.
30, 18, 15
A) 45
B) 30
C) 18
D) 90
30, 18, 15
A) 45
B) 30
C) 18
D) 90
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55
Find the LCM.
500, 900, 450
A) 1500
B) 2250
C) 4500
D) 900
500, 900, 450
A) 1500
B) 2250
C) 4500
D) 900
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56
Divide and simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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57
Divide and simplify.

A) z + 2
B)
C)
D)

A) z + 2
B)

C)

D)

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58
Divide and simplify.

A) 7
B)
C)
D)

A) 7
B)

C)

D)

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59
Divide and simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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60
Divide and simplify.

A)
B)
C)
D)

A)

B)

C)

D)

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61
Add. Simplify, if possible.

A) m - 3
B)
C) m + 6
D) m - 6

A) m - 3
B)

C) m + 6
D) m - 6
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62
Add. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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63
Add. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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64
Find the LCM.
t , t - 7
A) t(t - 7 )
B) t
C) 6
D) t - 7
t , t - 7
A) t(t - 7 )
B) t
C) 6
D) t - 7
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65
Find the LCM.
+ 11x + 30 , 5 x + 25
A) 5 (x - 6 )(x - 5 )
B) 5 (x + 6 )(x + 5 )
C) 5 (x - 6 )(x + 5 )
D) 5 (x + 6 )(x - 5 )

A) 5 (x - 6 )(x - 5 )
B) 5 (x + 6 )(x + 5 )
C) 5 (x - 6 )(x + 5 )
D) 5 (x + 6 )(x - 5 )
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66
Find the LCM.
-
A)
B)
C)
D)
-

A)

B)

C)

D)

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67
Find the LCM.
n , 9 + n , 9 - n
A)
B)
C) n + 9
D) n(9 + n)( 9 - n)
n , 9 + n , 9 - n
A)

B)

C) n + 9
D) n(9 + n)( 9 - n)
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68
Add. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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69
Find the LCM.

A)
B)
C) 8 a - 6
D) 8 a(a - 6 )

A)

B)

C) 8 a - 6
D) 8 a(a - 6 )
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70
Add. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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71
Add. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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72
Add. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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73
Find the LCM.

A) r(r + 8 )
B) r(r + 1)(r + 8 )
C)
D)

A) r(r + 8 )
B) r(r + 1)(r + 8 )
C)

D)

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74
Add. Simplify, if possible.

A) 5
B)
C)
D)

A) 5
B)

C)

D)

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75
Add. Simplify, if possible.

A)
B)
C)
D) 1

A)

B)

C)

D) 1
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76
Add. Simplify, if possible.
-
A)
B)
C)
D)
-

A)

B)

C)

D)

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77
Add. Simplify, if possible.

A)
B)
C)
D)

A)

B)

C)

D)

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78
Add. Simplify, if possible.

A) 4
B)
C)
D)

A) 4
B)

C)

D)

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79
Find the LCM.

A) m(x + 1 )(m - 4 )
B)
C)
D) m(m - 3 )(m - 4 )

A) m(x + 1 )(m - 4 )
B)

C)

D) m(m - 3 )(m - 4 )
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80
Find the LCM.
+ 9 x + 20, x2 + 2 x - 8
A) (x - 5 )(x - 4 )(x - 2 )
B) (x + 4 )(x - 2 )
C) (x + 5 )(x + 4 )
D) (x + 5 )(x + 4 )(x - 2 )

A) (x - 5 )(x - 4 )(x - 2 )
B) (x + 4 )(x - 2 )
C) (x + 5 )(x + 4 )
D) (x + 5 )(x + 4 )(x - 2 )
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