CLEP FORMULAS

Question 1

Standard Form of a Line

Answer 1

Question 2

Point-Slope Formula

Answer 2

Question 3

Slope Intercept Form

Answer 3

Question 4

Slope Formula

Answer 4

Question 5

Distance Formula

Answer 5

Question 6

Midpoint Formula

Answer 6

Question 7

General Form for a Quadratic

Answer 7

Question 8

Vertex (Standard) Form for a Quadratic

Answer 8

Question 9

Quadratic Formula

Answer 9

Question 10

Vertex of a Parabola

Answer 10

Question 11

Equation of a Circle

Answer 11

Question 12

Difference of Squares

Answer 12

Question 13

Sum of Squares

Answer 13

Prime

Question 14

Difference of Cubes

Answer 14

Question 15

Sum of Cubes

Answer 15

Question 16

Answer 16

1

Question 17

Answer 17

Undefined

Question 18

Answer 18

Question 19

Answer 19

Question 20

Answer 20

Question 21

Answer 21

Question 22

Answer 22

Question 23

Answer 23

Question 24

Answer 24

Question 25

Answer 25

Question 26

Answer 26

Question 27

Answer 27

Question 28

Answer 28

Question 29

Answer 29

1

Question 30

Answer 30

x

Question 31

Change to Exponential Form

Answer 31

Question 32

Answer 32

0

Question 33

Answer 33

undefined

Question 34

Answer 34

x

Question 35

Answer 35

Question 36

Answer 36

Question 37

Change of Base Formula

Answer 37

Question 38

Answer 38

Question 39

Answer 39

Question 40

Answer 40

1

Question 41

Answer 41

x

Question 42

Answer 42

0

Question 43

Answer 43

Question 44

Answer 44

Question 45

Answer 45

Question 46

Simple Interest Formula

Answer 46

Question 47

Exponential Growth

Answer 47

Question 48

Exponential Decay

Answer 48

Question 49

Compound Interest Formula

Answer 49

Question 50

Continuous Compound Interest Formula

Answer 50

Question 51

Recursive Arithmetic Sequence Formula Generator

Answer 51

Question 52

Recursive Geometric Sequence Formula Generator

Answer 52

Question 53

Explicit Arithmetic Sequence Generator

Answer 53

Question 54

Explicit Geometric Sequence Formula Generator

Answer 54

Question 55

Arithmetic Series Formula

Answer 55

Question 56

Finite Geometric Series Formula

Answer 56

Question 57

Infinite Geometric Series Formula

Answer 57

If r is between 0 and 1 only, then

Question 58

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

Answer 58

divergent, no sum

Question 59

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

Answer 59

the series is convergent.

Question 60

Identify the slope and the y-intercept for

Answer 60

Question 61

Name the parent function for y=x³

Answer 61

Cubic

Question 62

Name the parent function for y = x

Answer 62

Linear

Question 63

Name the parent function for y=x²

Answer 63

Quadratic

Question 64

Name the parent function for y=x³

Answer 64

Cubic

Question 65

Name the parent function y=x⁵

Answer 65

Quintic

Question 66

{x|-3

Answer 66

Set-Builder

Question 67

What kind of notation is the following?

Answer 67

Interval Notation

Question 68

Equation for a horizontal line

Answer 68

y=#

Question 69

Equation for a vertical line

Answer 69

x=#

Question 70

How do you know if a relation is a function?

Answer 70

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

Question 71

When do you use a Horizontal Line test?

Answer 71

To determine if an inverse is also a function.

Question 72

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

Answer 72

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

Question 73

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

Answer 73

Horizontal line

Question 74

What kind of line has a slope that is undefined?

Answer 74

Vertical Line

Question 75

Create Pascal’s Triangle to 7 rows.

Answer 75

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

Question 76

What is a discriminant?

Answer 76

Question 77

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

Answer 77

2, real, rational or irrational roots

Question 78

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

Answer 78

Two complex conjugates

Question 79

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

Answer 79

One real rational root that has a multiplicity of 2

Question 80

i²⁵⁶

Answer 80

i

Question 81

What is a determinant?

Answer 81

Question 82

What is the formula for the absolute value parent function?

Answer 82

Question 83

Direct Variation

Answer 83

Question 84

Inverse Variation

Answer 84

Question 85

Joint Variation

Answer 85

Question 86

Combined Variation

Answer 86

Question 87

Graph of the Absolute Value Parent Function

Answer 87

Question 88

Graph of the Linear Parent Function

Answer 88

Question 89

Graph of the Quadratic Parent Function

Answer 89

Question 90

Graph of the Cubic Parent Function

Answer 90

Question 91

Graph of the Square Root Parent Function

Answer 91

Question 92

Graph of the Cube Root Parent Function

Answer 92

Question 93

Graph of the Greatest Integer Parent Function

Answer 93

Question 94

Graph of the Rational (Reciprocal) Function

Answer 94

Question 95

Answer 95

Question 96

Answer 96

-1

Question 97

Answer 97

Question 98

Answer 98

1

Question 99

conjugate of

Answer 99

Question 100

Answer 100

Question 101

Graph of the Logarithmic Parent Function

Answer 101

Question 102

Parent Graph of the Natural Logarithmic Function

Answer 102

Question 103

Parent Graph of the Natural Exponential Function

Answer 103

Question 104

Parent Graph of the Exponential Function

Answer 104

Question 105

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

Answer 105

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

Question 106

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

Answer 106

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

Question 107

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

Answer 107

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

Question 108

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

Answer 108

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.

Question 109

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

Answer 109

The numerator degree is 1 greater than the denominator exponent.

Question 110

How do you find a slant asymptote?

Answer 110

Long Division

Question 111

How do you find a hole in a Rational Function?

Answer 111

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).