Rational Expressions ((Reference))
For the following problems, find the domain of each rational expression.
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
For the following problems, show that the fractions are equivalent.
Exercise 11
Exercise 12
Exercise 13
For the following problems, fill in the missing term.
Exercise 14
Exercise 15
Exercise 16
Exercise 17
Exercise 18
Exercise 19
Exercise 20
Reducing Rational Expressions ((Reference))
For the following problems, reduce the rational expressions to lowest terms.
Exercise 21
Exercise 22
Exercise 23
Exercise 24
Exercise 25
Exercise 26
Exercise 27
Exercise 28
Exercise 29
Exercise 30
Exercise 31
Exercise 32
Exercise 33
Exercise 34
Exercise 35
Exercise 36
Exercise 37
Exercise 38
Exercise 39
Exercise 40
Exercise 41
Exercise 42
Multiplying and Dividing Rational Expressions ((Reference)) - Adding and Subtracting Rational Expressions ((Reference))
For the following problems, perform the indicated operations.
Exercise 43
Exercise 44
Exercise 45
Exercise 46
Exercise 47
Exercise 48
Exercise 49
Exercise 50
Exercise 51
Exercise 52
Exercise 53
Exercise 54
Exercise 55
Exercise 56
Exercise 57
Exercise 58
Exercise 59
Exercise 60
Exercise 61
Exercise 62
Exercise 63
Exercise 64
Exercise 65
Exercise 66
Exercise 67
Exercise 68
Exercise 69
Exercise 70
Exercise 71
Exercise 72
Exercise 73
Exercise 74
Exercise 75
Rational Equations ((Reference))
For the following problems, solve the rational equations.
Exercise 76
Exercise 77
Exercise 78
Exercise 79
Exercise 80
Exercise 81
Exercise 82
Exercise 83
Exercise 84
Exercise 85
Exercise 86
Solve
Exercise 87
Solve
Exercise 88
Solve
Exercise 89
Solve
Exercise 90
Solve
Applications ((Reference))
For the following problems, find the solution.
Exercise 91
When the same number is subtracted from both terms of the fraction
Exercise 92
When the same number is added to both terms of the fraction
Exercise 93
When three fourths of a number is added to the reciprocal of the number, the result is
Exercise 94
When one third of a number is added to the reciprocal of the number, the result is
Exercise 95
Person A working alone can complete a job in 9 hours. Person B working alone can complete the same job in 7 hours. How long will it take both people to complete the job working together?
Exercise 96
Debbie can complete an algebra assignment in
Exercise 97
An inlet pipe can fill a tank in 6 hours and an outlet pipe can drain the tank in 8 hours. If both pipes are open, how long will it take to fill the tank?
Exercise 98
Two pipes can fill a tank in 4 and 5 hours, respectively. How long will it take both pipes to fill the tank?
Exercise 99
The pressure due to surface tension in a spherical bubble is given by
(a) Determine the pressure due to surface tension within a soap bubble of radius
(b) Determine the radius of a bubble if the pressure due to surface tension is 57.6 and the surface tension is 18.
Exercise 100
The equation
(a) Determine the focal length of a lens in which an object 8 feet away produces an image 6 feet away.
(b) Determine how far an object is from a lens if the focal length of the lens is 10 inches and the image distance is 10 inches.
(c) Determine how far an object will be from a lens that has a focal length of
Dividing Polynomials ((Reference))
For the following problems, divide the polynomials.
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