Deck 5: Rational Expressions, Equations, and Functions

Question 1

Multiply to obtain an equivalent expression. Do not simplify.

A)
B)
C)
D)

Answer 1

Question 2

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

A)c = -4
B)c = 0
C)None
D)c = 4

Answer 2

None

Question 3

Find the domain. Write interval notation for the answer.

A)(-∞, ∞)
B)
C)
D)

Answer 3

Question 4

Find the domain. Write interval notation for the answer.

A)
B)
C)
D)(-∞, ∞)

Question 5

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

A)a = -2
B)a = 0
C)a = 2
D)None

Question 6

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

A)y = 36
B)
C)y = 6
D)y = 6 and y = -6

Question 7

Multiply to obtain an equivalent expression. Do not simplify.

A)x + 100
B)
C)
D)

Question 8

Multiply to obtain an equivalent expression. Do not simplify.

A)
B)
C)
D)

Question 9

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

A)None
B)d = 3
C)d = 3, 5
D)d = -3

Question 10

Find the domain. Write interval notation for the answer.

A)
B)
C)
D)

Question 11

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

A)x = 2 and x = -6
B)x = 6 and x = -6
C)x = 0
D)x = -2 and x = 6

Question 12

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

A)b = -8
B)b = 3
C)b = 0
D)b = 24

Question 13

Multiply to obtain an equivalent expression. Do not simplify.

A)
B)
C)
D)

Question 14

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

A)x = -3 and x = -2
B)x = 0
C)x = 3 and x = 2
D)x = 3 and x = -3

Question 15

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

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

Question 16

Find the domain. Write interval notation for the answer.

A)
B)
C)
D)

Question 17

Find the domain. Write interval notation for the answer.

A)
B)
C)
D)

Question 18

Find the domain. Write interval notation for the answer.

A)
B)
C)
D)

Question 19

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

A)x = 3 and x = -3
B)x = 0
C)x = -6 and x = 8
D)x = 6 and x = -8

Question 20

Find the domain. Write interval notation for the answer.

A)
B)
C)
D)

Question 21

Simplify.

A)
B)-
C)
D)

Question 22

Multiply and simplify.

A)
B)
C)
D)

Question 23

Multiply and simplify.

A)
B)1
C)
D)

Question 24

Simplify.

A)
B)
C)
D)

Question 25

Simplify.

A)
B)
C)
D)

Question 26

Divide and simplify.

A)
B)
C)
D)

Question 27

Multiply and simplify.

A)
B)
C)
D)

Question 28

Multiply and simplify.

A)
B)
C)
D)

Question 29

Simplify.

A)
B)1
C)
D)

Question 30

Multiply and simplify.

A)
B)
C)x + 2
D)

Question 31

Multiply and simplify.

A)
B)
C)
D)

Question 32

Multiply and simplify.

A)
B)
C)
D)

Question 33

Simplify.

A)
B)
C)
D)

Question 34

Multiply and simplify.

A)
B)y + 4
C)
D)

Question 35

Simplify.

A)
B)
C)
D)

Question 36

Multiply and simplify.

A)
B)
C)
D)

Question 37

Simplify.

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

Question 38

Simplify.

A)
B)-1
C)None of these
D)

Question 39

Divide and simplify.

A)
B)
C)
D)

Question 40

Simplify.

A)
B)2x + 3
C)
D)

Question 41

Find the LCM by factoring.
21, 28

A)28
B)49
C)588
D)84

Question 42

Find the LCM by factoring.
24, 54, 27

A)108
B)54
C)72
D)216

Question 43

Find the LCM by factoring.
9, 15

A)24
B)15
C)45
D)135

Question 44

Find the LCM by factoring.
8, 24, 15

A)360
B)24
C)120
D)2880

Question 45

Divide and simplify.

A)
B)
C)
D)

Question 46

Perform the indicated operations and simplify.

A)r + s
B)r - s
C)
D)

Question 47

Divide and simplify.

A)
B)
C)
D)

Question 48

Perform the indicated operations and simplify.

A)
B)
C)
D)

Question 49

Find the LCM by factoring.
24, 18, 44

A)396
B)1056
C)264
D)792

Question 50

Find the LCM by factoring.
16, 19

A)19
B)35
C)152
D)304

Question 51

Divide and simplify.

A)
B)
C)
D)

Question 52

Divide and simplify.

A)
B)
C)
D)

Question 53

Divide and simplify.

A)
B)
C)(z - 6)(z + 10)
D)

Question 54

Find the LCM by factoring.
15, 36

A)36
B)180
C)51
D)540

Question 55

Perform the indicated operations and simplify.

A)
B)
C)6(x - 1)
D)6(x + 4)(x - 1)

Question 56

Divide and simplify.

A)
B)
C)
D)

Question 57

Find the LCM by factoring.
12, 7

A)19
B)42
C)12
D)84

Question 58

Find the LCM by factoring.
9, 18, 27

A)27
B)486
C)54
D)18

Question 59

Find the LCM by factoring.
80, 90

A)7200
B)170
C)90
D)720

Question 60

Add. Find the LCD first.

A)
B)
C)
D)

Question 61

Find the LCM.

A)r(r + 1)(r + 7)
B)
C)r(r + 7)
D)

Question 62

Add or subtract. Then simplify. If a denominator has two or more factors (other than monomials), leave it in factored form. Express the answer using the denominator of the first fraction when applicable.

A)1
B)
C)
D)

Question 63

Find the LCM.

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

Question 64

Find the LCM.
t, t - 6

A)t(t - 6)
B)t
C)t - 6
D)49

Question 65

Add. Find the LCD first.

A)
B)
C)
D)

Question 66

Add. Find the LCD first.

A)103
B)
C)
D)

Question 67

Find the LCM.

A)
B)
C)
D)

Question 68

Find the LCM.

A)
B)
C)
D)

Question 69

Find the LCM.

A)-2(x - 3)(x - 5)
B)-2(x + 3)(x + 5)
C)-2(x - 3)(x + 5)
D)-2(x + 3)(x - 5)

Question 70

Add. Find the LCD first.

A)
B)4
C)
D)

Question 71

Add. Find the LCD first.

A)
B)
C)
D)

Question 72

Find the LCM.

A)
B)60xy
C)
D)

Question 73

Find the LCM.

A)(x + 6)(x - 4)(x + 1)
B)(x + 4)(x + 1)
C)(x - 6)(x + 4)(x + 1)
D)(x - 6)(x + 4)

Question 74

Add. Find the LCD first.

A)
B)
C)
D)

Question 75

Add. Find the LCD first.

A)
B)
C)
D)

Question 76

Add. Find the LCD first.

A)
B)
C)
D)

Question 77

Add. Find the LCD first.

A)
B)
C)
D)

Question 78

Find the LCM.

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

Question 79

Add. Find the LCD first.

A)
B)
C)
D)

Question 80

Find the LCM.

A)m(x - 2)(m + 5)
B)
C)
D)m(m + 3)(m + 5)