Deck 7: Rational Expressions and Equations

Question 1

Multiply. Do not simplify.

A)
B)
C)
D)

Answer 1

A

Question 2

Simplify.

-

A) 3
B)
C)
D)

Answer 2

Question 3

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

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

Answer 3

B

Question 4

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

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

Question 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

Question 6

Simplify.

A)
B)
C)
D) 2mp

Question 7

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

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

Question 8

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

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

Question 9

Simplify.

A)
B) 10
C) 3k
D)

Question 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

Question 11

Simplify.

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

Question 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

Question 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

Question 14

Multiply. Do not simplify.

A)
B)
C)
D)

Question 15

Simplify.

A)
B)
C)
D)

Question 16

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

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

Question 17

Multiply. Do not simplify.

A)
B)
C)
D)

Question 18

Multiply. Do not simplify.

A)
B)
C)
D)

Question 19

Simplify.

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

Question 20

Multiply. Do not simplify.

A)
B)
C)
D)

Question 21

Simplify.

A)
B)
C)
D)

Question 22

Multiply and, if possible, simplify.

A)
B)
C)
D)

Question 23

Simplify.

A)
B)
C)
D)

Question 24

Find the reciprocal.

A)
B)
C)
D)

Question 25

Simplify.

A)
B)
C)
D)

Question 26

Multiply and, if possible, simplify.

A)
B)
C)
D)

Question 27

Multiply and, if possible, simplify.

A)
B)
C)
D)

Question 28

Find the reciprocal.

A)
B)
C)
D)

Question 29

Find the reciprocal.

A)
B)
C)
D)

Question 30

Find the reciprocal.

A)
B)
C)
D)

Question 31

Find the reciprocal.

A)
B)
C)
D)

Question 32

Simplify.

A)
B)
C)
D)

Question 33

Multiply and, if possible, simplify.

A)
B)
C)
D)

Question 34

Simplify.

A)
B)
C)
D)

Question 35

Find the reciprocal.

A)
B)
C)
D)

Question 36

Multiply and, if possible, simplify.

A)
B)
C)
D)

Question 37

Find the reciprocal.

A)
B)
C)
D)

Question 38

Multiply and, if possible, simplify.

A)
B) 4z
C)
D)

Question 39

Find the reciprocal.

A)
B)
C)
D)

Question 40

Multiply and, if possible, simplify.

A)
B)
C)
D)

Question 41

Divide and simplify.

A)
B) 1
C)
D) -1

Question 42

Find the LCM.

-

A)
B)
C)
D)

Question 43

Divide and simplify.

A)
B)
C)
D)

Question 44

Find the LCM.

A)
B)
C)
D)

Question 45

Divide and simplify.

A)
B)
C) z - 4
D)

Question 46

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

A)
B)
C)
D)

Question 47

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

A)
B)
C)
D)

Question 48

Add, first finding the LCD. Simplify, if possible.
1

A)
B)
C)
D)

Question 49

Divide and simplify.

A)
B)
C)
D)

Question 50

Find the LCM.
10, 12, 30

A) 30
B) 60
C) 12
D) 20

Question 51

Divide and simplify.

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

Question 52

Find the LCM.
54, 12

A) 54
B) 18
C) 36
D) 108

Question 53

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

A)
B)
C)
D)

Question 54

Find the LCM.
30, 18, 15

A) 45
B) 30
C) 18
D) 90

Question 55

Find the LCM.
500, 900, 450

A) 1500
B) 2250
C) 4500
D) 900

Question 56

Divide and simplify.

A)
B)
C)
D)

Question 57

Divide and simplify.

A) z + 2
B)
C)
D)

Question 58

Divide and simplify.

A) 7
B)
C)
D)

Question 59

Divide and simplify.

A)
B)
C)
D)

Question 60

Divide and simplify.

A)
B)
C)
D)

Question 61

Add. Simplify, if possible.

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

Question 62

Add. Simplify, if possible.

A)
B)
C)
D)

Question 63

Add. Simplify, if possible.

A)
B)
C)
D)

Question 64

Find the LCM.
t , t - 7

A) t(t - 7 )
B) t
C) 6
D) t - 7

Question 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 )

Question 66

Find the LCM.

-

A)
B)
C)
D)

Question 67

Find the LCM.
n , 9 + n , 9 - n

A)
B)
C) n + 9
D) n(9 + n)( 9 - n)

Question 68

Add. Simplify, if possible.

A)
B)
C)
D)

Question 69

Find the LCM.

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

Question 70

Add. Simplify, if possible.

A)
B)
C)
D)

Question 71

Add. Simplify, if possible.

A)
B)
C)
D)

Question 72

Add. Simplify, if possible.

A)
B)
C)
D)

Question 73

Find the LCM.

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

Question 74

Add. Simplify, if possible.

A) 5
B)
C)
D)

Question 75

Add. Simplify, if possible.

A)
B)
C)
D) 1

Question 76

Add. Simplify, if possible.

-

A)
B)
C)
D)

Question 77

Add. Simplify, if possible.

A)
B)
C)
D)

Question 78

Add. Simplify, if possible.

A) 4
B)
C)
D)

Question 79

Find the LCM.

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

Question 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 )