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CLEP College Math Topics

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1. Adding and Subtracting Integers

1.1 Introduction to integer addition
1.2 Adding integers
1.3 Introduction to integer subtraction
1.4 Subtracting integers
1.5 Application of integer operations

2. Multiplying and Dividing Integers

2.1 Multiplying integers
2.2 Dividing integers

3. Primes and Common Factors

3.1 Prime factorization
3.2 Least Common Multiple (LCM)
3.3 Greatest Common Factors (GCF)

4. Fractions

4.1 Adding fractions with like denominators
4.2 Subtracting fractions with like denominators
4.3 Adding and subtracting fractions with unlike denominators
4.4 Multiplying proper fractions
4.5 Dividing fractions and mixed numbers

5. Decimals

5.1 Adding and subtracting decimals
5.2 Multiplying decimals
5.3 Dividing decimals
5.4 Order of operations (BEDMAS)
5.5 Scientific notation
5.6 Rational vs. Irrational numbers

6. Expressions and Equations

6.1 Patterns
6.2 Adding and subtracting polynomials
6.3 Solving linear equations using distributive property: a(x + b) = c
6.4 Multiplying polynomials by monomials
6.5 Solving linear equations using multiplication and division
6.6 Solving two-step linear equations: ax + b = c, x/a + b = c
6.7 Solving one - step equations: x + a = b
6.8 Solving linear equations with variables on both sides

7. Introduction to Equations

7.1 Evaluating algebraic expressions
7.2 Solving literal equations
7.3 Applications of polynomial functions
7.4 Money related questions in linear equations

8. Absolute Value Equations

8.1 Absolute value functions
8.2 Solving absolute value equations
8.3 Solving absolute value inequalities

9. Graphing Inequalities

9.1 Express linear inequalities graphically and algebraically
9.2 Solving one-step linear inequalities
9.3 Solving multi-step linear inequalities
9.4 Graphing linear inequalities in two variables

10. Linear Equations

10.1 Word problems of graphing linear functions
10.2 Rate of change
10.3 Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
10.4 Graphing linear functions using a single point and slope
10.5 General form: Ax + By + C = 0
10.6 Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
10.7 Parallel and perpendicular lines in linear functions

11. Graphing Functions

11.1 Domain and range of a function
11.2 Identifying functions
11.3 Function notation
11.4 Graphing linear functions using table of values
11.5 Graphing from slope-intercept form y=mx+b
11.6 Graphing linear functions using x- and y-intercepts
11.7 Using elimination method to solve systems of equations
11.8 Using substitution method to solve systems of equations

12. Exponents and Multiplying Polynomials

12.1 Direct variation
12.2 Multiplying binomial by binomial

13. Factoring

13.1 Common factors of polynomials
13.2 Factor by taking out the greatest common factor
13.3 Factoring polynomials: ax2+bx+cax^2 + bx + c
13.4 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
13.5 Factoring difference of squares: x^2 - y^2
13.6 Introduction to quadratic functions

14. Radical Expressions and Quadratic Equations

14.1 Evaluating and simplifying radicals
14.2 Converting radicals to mixed radicals
14.3 Solving quadratic equations by factoring
14.4 Solving quadratic equations by completing the square
14.5 Using quadratic formula to solve quadratic equations
14.6 Transformations of quadratic functions

15. Introduction to Geometry

15.1 Cartesian plane
15.2 Parallel and perpendicular line segments
15.3 Horizontal and vertical distances

16. Statistics

16.1 Reading and drawing bar graphs
16.2 Reading and drawing line graphs
16.3 Circle graphs
16.4 Reading and drawing histograms
16.5 Box-and-whisker plots and scatter plots
16.6 Median and mode
16.7 Mean
16.8 Application of averages

17. Probability

17.1 Introduction to probability
17.2 Organizing outcomes
17.3 Probability of independent events
17.4 Comparing experimental and theoretical probability

18. Angle Pair, Parallel, and Perpendicular Lines

18.1 Parallel line proofs
18.2 Perpendicular line proofs
18.3 Inscribed Angles and Proofs
18.4 Standard angles
18.5 Coterminal angles
18.6 Reference angles

19. Triangles

19.1 Classifying Triangles
19.2 Congruence and Congruent Triangles
19.3 Triangles Congruent by SSS Proofs
19.4 Triangles Congruent by SAS and HL Proofs
19.5 Triangles Congruent by ASA and AAS Proofs
19.6 Isosceles and Equilateral Triangles

20. Relations in Triangles

20.1 Unit circle
20.2 Law of sines
20.3 Law of cosines
20.4 Applications of the sine law and cosine law

21. Ratio, Proportion, Similarity, & Percent

21.1 Ratios
21.2 Similar polygons
21.3 Percents, fractions, and decimals
21.4 Percent of a number
21.5 Pythagorean theorem
21.6 Applications of pythagorean theorem
21.7 Solving expressions using 30-60-90 special right triangles
21.8 Solving expressions using 45-45-90 special right triangles

22. Right Triangles

22.1 Use sine ratio to calculate angles and side (Sin = oh \frac{o}{h} )
22.2 Use cosine ratio to calculate angles and side (Cos = ah \frac{a}{h} )
22.3 Use tangent ratio to calculate angles and side (Tan = oa \frac{o}{a} )
22.4 Other word problems relating angles in trigonometry

23. Beginning Measurement

23.1 Metric systems
23.2 Imperial systems
23.3 Conversions between metric and imperial systems
23.4 Conversions involve squares and cubic

24. Circles

24.1 Tangent properties
24.2 Circle and circumference
24.3 Arcs of a circle
24.4 Areas and sectors of circles
24.5 Central and inscribed angles in circles

25. Surface Area and Volume

25.1 Surface area and volume of prisms
25.2 Surface area and volume of pyramids
25.3 Surface area and volume of cylinders
25.4 Surface area and volume of cones
25.5 Surface area and volume of spheres

26. Coordinate Geometry

26.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
26.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
26.3 Solving second degree trigonometric equations

27. Negative and Rational Exponents

27.1 Exponents: Negative exponents
27.2 Combining the exponent rules
27.3 Rational exponents
27.4 Solving radical equations
27.5 Basic radical functions

28. Composite Functions and Inverses

28.1 Composite functions
28.2 Inverse functions

29. Logarithms and Exponential Functions

29.1 What is a logarithm?
29.2 Evaluating logarithms without a calculator
29.3 Product rule of logarithms
29.4 Quotient rule of logarithms
29.5 Combining product rule and quotient rule in logarithms
29.6 Solving logarithmic equations
29.7 Evaluating logarithms using change-of-base formula
29.8 Exponential growth and decay by a factor
29.9 Exponential decay: Half-life
29.10 Natural log: ln

29 Chapters · 146 Topics · 1152 Videos

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Yes! We cover algebraic operations, geometry, data analysis, probability, and all topics tested on the CLEP College Math examination.

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