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CLEP College Algebra 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
2.3 Order of operations (PEMADS)

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 decimal numbers
5.2 Multiplying decimal numbers
5.3 Dividing decimal numbers
5.4 Scientific notation
5.5 Rational vs. Irrational numbers

6. Expressions and Equations

6.1 Patterns
6.2 Adding and subtracting polynomials
6.3 Multiplying polynomials by monomials
6.4 Solving linear equations using multiplication and division
6.5 Solving two-step linear equations: ax + b = c, x/a + b = c
6.6 Solving one - step equations: x + a = b
6.7 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 and 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 General form: Ax + By + C = 0
10.5 Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
10.6 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 x- and y-intercepts
11.5 Determining number of solutions to linear equations
11.6 Using elimination method to solve systems of equations
11.7 Using substitution method to solve systems of equations
11.8 Solving systems of linear equations by graphing

12. Exponents and Multiplying Polynomials

12.1 Exponents: Product rule (a^x)(a^y) = a^(x+y)
12.2 Exponents: Power rule (a^x)^y = a^(x * y)
12.3 Exponents: Division rule (a^x / a^y) = a^(x-y)
12.4 Combining the exponent rules
12.5 Exponents: Zero exponent: a^0 = 1
12.6 Multiplying binomial by binomial
12.7 Solving linear equations using distributive property: a(x + b) = c

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
13.7 Factoring polynomials by grouping
13.8 Factoring polynomials: x^2 + bx + c
13.9 Evaluating polynomials
13.10 Word problems of polynomials

14. Radical Expressions and Quadratic Equations

14.1 Evaluating and simplifying radicals
14.2 Converting radicals to mixed radicals

15. Imaginary and Complex Numbers

15.1 Introduction to imaginary numbers
15.2 Adding and subtracting complex numbers
15.3 Multiplying and dividing complex numbers
15.4 Complex conjugates

16. Solving Quadratic Equations

16.1 Solving quadratic equations by factoring
16.2 Solving quadratic equations by completing the square
16.3 Solving quadratic equations using the quadratic formula
16.4 Nature of roots of quadratic equations: The discriminant
16.5 Applications of quadratic equations

17. Ratio, Proportion, Area, and Perimeter

17.1 Ratios
17.2 Similar polygons

18. Surface Area and Volume

18.1 Surface area and volume of prisms
18.2 Surface area and volume of pyramids
18.3 Surface area and volume of cylinders
18.4 Surface area and volume of cones
18.5 Surface area and volume of spheres

19. Probability and Statistics

19.1 Median and mode
19.2 Mean
19.3 Application of averages
19.4 Introduction to probability
19.5 Organizing outcomes
19.6 Probability of independent events
19.7 Fundamental counting principle
19.8 Combinations
19.9 Permutations

20. Coordinate Geometry

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

21. Negative and Rational Exponents

21.1 Rational exponents
21.2 Solving radical equations
21.3 Basic radical functions

22. Composite Functions and Inverses

22.1 Composite functions
22.2 Inverse functions

23. Logarithms and Exponential Functions

23.1 What is a logarithm?
23.2 Evaluating logarithms without a calculator
23.3 Product rule of logarithms
23.4 Quotient rule of logarithms
23.5 Combining product rule and quotient rule in logarithms
23.6 Solving logarithmic equations
23.7 Evaluating logarithms using change-of-base formula
23.8 Exponential growth and decay by a factor
23.9 Exponential decay: Half-life
23.10 Natural log: ln

23 Chapters · 115 Topics · 888 Videos

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