# CLEP FORMULAS Flashcards

1
Q

Standard Form of a Line

A
2
Q

Point-Slope Formula

A
3
Q

Slope Intercept Form

A
4
Q

Slope Formula

A
5
Q

Distance Formula

A
6
Q

Midpoint Formula

A
7
Q

A
8
Q

Vertex (Standard) Form for a Quadratic

A
9
Q

A
10
Q

Vertex of a Parabola

A
11
Q

Equation of a Circle

A
12
Q

Difference of Squares

A
13
Q

Sum of Squares

A

Prime

14
Q

Difference of Cubes

A
15
Q

Sum of Cubes

A
16
Q
A

1

17
Q
A

Undefined

18
Q
A
19
Q
A
20
Q
A
21
Q
A
22
Q
A
23
Q
A
24
Q
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25
Q
A
26
Q
A
27
Q
A
28
Q
A
29
Q
A

1

30
Q
A

x

31
Q

Change to Exponential Form

A
32
Q
A

0

33
Q
A

undefined

34
Q
A

x

35
Q
A
36
Q
A
37
Q

Change of Base Formula

A
38
Q
A
39
Q
A
40
Q
A

1

41
Q
A

x

42
Q
A

0

43
Q
A
44
Q
A
45
Q
A
46
Q

Simple Interest Formula

A
47
Q

Exponential Growth

A
48
Q

Exponential Decay

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49
Q

Compound Interest Formula

A
50
Q

Continuous Compound Interest Formula

A
51
Q

Recursive Arithmetic Sequence Formula Generator

A
52
Q

Recursive Geometric Sequence Formula Generator

A
53
Q

Explicit Arithmetic Sequence Generator

A
54
Q

Explicit Geometric Sequence Formula Generator

A
55
Q

Arithmetic Series Formula

A
56
Q

Finite Geometric Series Formula

A
57
Q

Infinite Geometric Series Formula

A

If r is between 0 and 1 only, then

58
Q

If an infinite geometric series has a common ratio > 1, then the series is

A

divergent, no sum

59
Q

If an infinite geometric series has a ratio that is between 0 and 1, then

A

the series is convergent.

60
Q

Identify the slope and the y-intercept for

A
61
Q

Name the parent function for y=x3

A

Cubic

62
Q

Name the parent function for y = x

A

Linear

63
Q

Name the parent function for y=x2

A

64
Q

Name the parent function for y=x3

A

Cubic

65
Q

Name the parent function y=x5

A

Quintic

66
Q

{x|-3

A

Set-Builder

67
Q

What kind of notation is the following?

A

Interval Notation

68
Q

Equation for a horizontal line

A

y=#

69
Q

Equation for a vertical line

A

x=#

70
Q

How do you know if a relation is a function?

A

A function either passes the vertical line test or each input has exactly one output.

71
Q

When do you use a Horizontal Line test?

A

To determine if an inverse is also a function.

72
Q

How do you prove that two functions are inverses of one another?

A
1. Graphing and having symmetry to the y=x axis.
2. Use the composition functions to see if they are both = to x.
73
Q

What kind of line has a slope that is equal to 0?

A

Horizontal line

74
Q

What kind of line has a slope that is undefined?

A

Vertical Line

75
Q

Create Pascal’s Triangle to 7 rows.

A

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

76
Q

What is a discriminant?

A
77
Q

If b2-4ac>0, what type of solutions will result in a quadratic equation?

A

2, real, rational or irrational roots

78
Q

If b2-4ac<0, what type of solutions will result in a quadratic equation?

A

Two complex conjugates

79
Q

If b2-4ac=0, what type of solutions will result in a quadratic equation?

A

One real rational root that has a multiplicity of 2

80
Q

i256

A

i

81
Q

What is a determinant?

A
82
Q

What is the formula for the absolute value parent function?

A
83
Q

Direct Variation

A
84
Q

Inverse Variation

A
85
Q

Joint Variation

A
86
Q

Combined Variation

A
87
Q

Graph of the Absolute Value Parent Function

A
88
Q

Graph of the Linear Parent Function

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89
Q

Graph of the Quadratic Parent Function

A
90
Q

Graph of the Cubic Parent Function

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91
Q

Graph of the Square Root Parent Function

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92
Q

Graph of the Cube Root Parent Function

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93
Q

Graph of the Greatest Integer Parent Function

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94
Q

Graph of the Rational (Reciprocal) Function

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95
Q
A
96
Q
A

-1

97
Q
A
98
Q
A

1

99
Q

conjugate of

A
100
Q
A
101
Q

Graph of the Logarithmic Parent Function

A
102
Q

Parent Graph of the Natural Logarithmic Function

A
103
Q

Parent Graph of the Natural Exponential Function

A
104
Q

Parent Graph of the Exponential Function

A
105
Q

How do you find the x-intercept of a rational function?

A

Simplify first, then set the numerator = 0 and solve for the variable.

106
Q

How do you find the y-intercept of a Rational Function?

A

Simplify first, then plug in 0 for x and solve for y.

107
Q

How do you find the vertical asymptotes of a rational function?

A

Simplify first, then set the denominator = 0 and solve for the variable.

108
Q

How do you find a Horizontal Asymptote for a Rational Function?

A
1. If the numerator degree is greater than the denominator degree, there is no horizontal asymptote.
2. If the numerator degree is less than the denominator degree, the horizontal asymptote is y = 0.
3. If the numerator degree is equation to the denominator degree, then the horizontal asymptote is y= leading coefficient of the numerator divided by the leading coefficient of the denominator.
109
Q

How do you know if you have a slant asymptote in a rational function?

A

The numerator degree is 1 greater than the denominator exponent.

110
Q

How do you find a slant asymptote?

A

Long Division

111
Q

How do you find a hole in a Rational Function?

A

Simplify first. If there are any common factors of the numerator and the denominator, the x-value of the hole is the canceled factor. Set canceled factor = 0 and solve for the x-value. Then, plug in the x into the simplified equation to find the y-value of the hole. Answer is in the form of (x, y).