CLEP College Mathematics Exam – Algebra & Functions

This course will teach the concepts related to the Algebra & Functions topic of the College Mathematics CLEP exam. The College Mathematics CLEP exam can be taken for college credit. The exact courses that the college credit can be applied to are determined by your university, please consult your university for details. The Algebra & Functions topic covers approximately 20% of the material on the College Mathematics CLEP exam, according to the College Board website. Mastering the Algebra & Functions topic will help you win points on the College Mathematics CLEP exam which will help you pass the exam.

The following lectures are included:

1. Equations – how to solve for unknown variable in equations, how to solve equations in fractional form, and how to solve exponential equations

2. Logarithms – how to find logarithms, common logarithm, and logarithm rules

3. Linear equations – define linear equation, solve linear equations with one unknown, general format for linear equations with two unknowns, slope-intercept form, and how to graph linear equations

4. Modeling real-world problems – modeling linear functions and using tabular form to write an equation for a linear function

5. Point-Slope and Intercept Form – point-slope form, how to find linear equation given two points using point-slope form, intercept form, how to find linear equation given the x and y intercepts using intercept form, horizontal lines, and vertical lines

6. Simultaneous linear equations – how to solve simultaneous linear equations using substitution, addition or subtraction, and graphing

7. Other systems of equations – dependent equations, consistent vs inconsistent system of linear equations, parallel lines and perpendicular lines

8. Inequality and absolute value equations – how to solve inequalities, graphing linear inequalities, and solving absolute value equations

9. Quadratic equations – define quadratic equations, quadratic equations with one unknown, quadratic equations with two unknowns, and solving quadratic equations with one unknown using factoring, difference of two squares, and quadratic formula

10. Quadratic formula – quadratic formula examples, discriminant definition, and impact of the discriminant on the nature of the roots of a quadratic equation

11. Relations – ordered pairs, relations, and domain and range of a relation

12. Functions – function definition, the three ways that functions can be represented, numerical representation of functions,  how to identify relations that are functions, graphical representation of functions, the vertical line test, symbolic representation of functions, evaluating functions to find y with a given x value, and piecewise functions

13. Domain of functions – 5 options for specifying domain of a function, domain of function rules, and domain of function examples

14. Other functions- inverses of a function and exponential functions

15. Combining functions – Composition of functions and combining functions algebraically

16. Transformation of graphs – common graph transformations and their impact on the function in functional notation

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Frequently Asked Questions

How long do I have access to the course materials?

You can view and review the lecture materials indefinitely, like an on-demand channel.

Can I take my courses with me wherever I go?

Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don’t have an internet connection, some instructors also let their students download course lectures. That’s up to the instructor though, so make sure you get on their good side!