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1Surface Area and Volume
1. 1.1Introduction to surface area of 3-dimensional shapes
2. 1.2Nets of 3-dimensional shapes
3. 1.3Surface area of 3-dimensional shapes
4. 1.4Surface area of prisms
5. 1.5Surface area of cylinders
2Rational Numbers
1. 2.1Comparing and ordering rational numbers
2. 2.2Solving problems with rational numbers in decimal form
3. 2.3Solving problems with rational numbers in fraction form
4. 2.4Determine square roots of rational numbers
3Powers and Exponents
1. 3.1Using exponents to describe numbers
2. 3.2Exponent rules
3. 3.3Order of operations with exponents
4. 3.4Using exponents to solve problems
4Number System and Radicals
1. 4.1Understanding the number systems
2. 4.2Prime factorisation
3. 4.3Greatest Common Factors (GCF)
4. 4.4Least Common Multiple (LCM)
5. 4.5Rational vs. Irrational numbers
6. 4.6Converting repeating decimals to fractions
5Radicals
1. 5.1Square and square roots
2. 5.2Cubic and cube roots
3. 5.3Evaluating and simplifying radicals
4. 5.4Converting radicals to mixed radicals
5. 5.5Converting radicals to entire radicals
6. 5.6Adding and subtracting radicals
7. 5.7Multiplying and dividing radicals
8. 5.8Rationalize the denominator
9. 5.9Operations with radicals
10. 5.10Conversion between entire radicals and mixed radicals
11. 5.11Adding and subtracting radicals
12. 5.12Multiplying radicals (advanced)
13. 5.13Solving radical equations (advanced)
6Exponents
1. 6.1Product rule of exponents
2. 6.2Quotient rule of exponents
3. 6.3Power of a product rule
4. 6.4Power of a quotient rule
5. 6.5 Power of a power rule
6. 6.6Negative exponent rule
7. 6.7Combining the exponent rules
8. 6.8Scientific notation
9. 6.9Rational exponents
10. 6.10Solving for exponents
7Operations of Polynomials
1. 7.1What is a polynomial?
2. 7.2Polynomial components
3. 7.3Multiplying monomial by monomial
4. 7.4Multiplying monomial by binomial
5. 7.5Multiplying binomial by binomial
6. 7.6Multiplying polynomial by polynomial
7. 7.7Applications of polynomials
8Factorising Polynomial Expressions
1. 8.1Common factors of polynomials
2. 8.2Factorising polynomials by grouping
3. 8.3Solving polynomials with unknown coefficients
4. 8.4Solving polynomials with unknown constant terms
5. 8.5Factorising polynomials: x^2 + bx + c
6. 8.6Applications of polynomials: x^2 + bx + c
7. 8.7Solving polynomials with the unknown "b" from $ax^2 + bx + c$ $a x^{2} + b x + c$
8. 8.8Factorising polynomials: $ax^2 + bx + c$ $a x^{2} + b x + c$
9. 8.9Factorising perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
10. 8.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
11. 8.11Evaluating polynomials
12. 8.12Using algebra tiles to factorise polynomials
13. 8.13Solving polynomial equations
14. 8.14Word problems of polynomials
9Introduction to Relations and Functions
1. 9.1Relationship between two variables
2. 9.2Understand relations between x- and y-intercepts
3. 9.3Domain and range of a function
4. 9.4Identifying functions
5. 9.5Function notation
10Linear Functions
1. 10.1Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ $d = (x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}$
2. 10.2Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$ $M = (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2})$
3. 10.3Gradient equation: $m = \frac{y_2-y_1}{x_2- x_1}$ $m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}$
4. 10.4Gradient intercept form: y = mx + b
5. 10.5General form: Ax + By + C = 0
6. 10.6Gradient-point form: $y - y_1 = m (x - x_1)$ $y - y_{1} = m (x - x_{1})$
7. 10.7Rate of change
8. 10.8 Graphing linear functions using table of values
9. 10.9Graphing linear functions using x- and y-intercepts
10. 10.10Graphing from slope-intercept form y=mx+b
11. 10.11Graphing linear functions using a single point and gradient
12. 10.12Word problems of graphing linear functions
13. 10.13Parallel and perpendicular lines in linear functions
14. 10.14Applications of linear relations
11Absolute Value Functions
1. 11.1Absolute value functions
2. 11.2Solving absolute value equations
3. 11.3Solving absolute value inequalities
12Linear Equations
1. 12.1Introduction to linear equations
2. 12.2Introduction to nonlinear equations
3. 12.3Special case of linear equations: Horizontal lines
4. 12.4Special case of linear equations: Vertical lines
5. 12.5Parallel line equation
6. 12.6Perpendicular line equation
7. 12.7Combination of both parallel and perpendicular line equations
8. 12.8Applications of linear equations
13Solving Linear Systems
1. 13.1Determining number of solutions to linear equations
2. 13.2Solving systems of linear equations by graphing
3. 13.3Using elimination method to solve systems of equations
4. 13.4Using substitution method to solve systems of equations
5. 13.5Money related questions in linear equations
6. 13.6Unknown number related questions in linear equations
7. 13.7Distance and time related questions in linear equations
8. 13.8Rectangular shape related questions in linear equations
9. 13.9Solving 3 variable systems of equations by substitution
10. 13.10Solving 3 variable systems of equations by elimination
11. 13.11Solving 3 variable systems of equations (no solution, infinite solutions)
12. 13.12Word problems relating 3 variable systems of equations
14Linear Inequalities
1. 14.1Express linear inequalities graphically and algebraically
2. 14.2Solving one-step linear inequalities
3. 14.3Solving multi-step linear inequalities
4. 14.4Compound inequalities
15Inequalities in Two Variables
1. 15.1Graphing linear inequalities in two variables
2. 15.2Graphing simultaneous linear inequalities
3. 15.3Graphing quadratic inequalities in two variables
4. 15.4Graphing simultaneous quadratic inequalities
5. 15.5Applications of inequalities
6. 15.6What is linear programming?
7. 15.7Linear programming word problems
16Factorising Quadratic Equations
1. 16.1Factorise by taking out the greatest common factor
2. 16.2Factorise by grouping
3. 16.3Factorising difference of squares: x^2 - y^2
4. 16.4Factorising trinomials
5. 16.5Factoring difference of cubes
6. 16.6Factoring sum of cubes
17Quadratic Functions
1. 17.1Characteristics of quadratic functions
2. 17.2Transformations of quadratic functions
3. 17.3Quadratic function in general form: y = $ax^2 + bx+c$ $a x^{2} + b x + c$
4. 17.4Quadratic function in vertex form: y = a(x-p)^2 + q
5. 17.5Completing the square
6. 17.6Converting from general to vertex form by completing the square
7. 17.7Shortcut: Vertex formula
8. 17.8Graphing parabolas for given quadratic functions
9. 17.9Finding the quadratic functions for given parabolas
10. 17.10Applications of quadratic functions
18Quadratic Equations and Inequalities
1. 18.1Solving quadratic equations by factorising
2. 18.2Solving quadratic equations by completing the square
3. 18.3Using quadratic formula to solve quadratic equations
4. 18.4Nature of roots of quadratic equations: The discriminant
5. 18.5Applications of quadratic equations
6. 18.6Solving quadratic inequalities
19Graphing Rational Functions
1. 19.1Graphing reciprocals of linear functions
2. 19.2Graphing reciprocals of quadratic functions
3. 19.3Graphs of rational functions
20Functions
1. 20.1Function notation
2. 20.2Operations with functions
3. 20.3Adding functions
4. 20.4Subtracting functions
5. 20.5Multiplying functions
6. 20.6Dividing functions
7. 20.7Composite functions
8. 20.8Inequalities of combined functions
9. 20.9Inverse functions
10. 20.10One to one functions
11. 20.11Difference quotient: applications of functions
21Direct and Inverse Variation
1. 21.1Direct variation
2. 21.2Inverse variation
3. 21.3Joint and combined variation
22Piecewise Functions
1. 22.1Evaluating piecewise functions
2. 22.2Graphing piecewise linear functions
3. 22.3Graphing piecewise non-linear functions
23Transformations of Functions
1. 23.1Transformations of functions: Horizontal translations
2. 23.2Transformations of functions: Vertical translations
3. 23.3Reflection across the y-axis: y = f(-x)
4. 23.4Reflection across the x-axis: y = -f(x)
5. 23.5Transformations of functions: Horizontal stretches
6. 23.6Transformations of functions: Vertical stretches
7. 23.7Combining transformations of functions
8. 23.8Even and odd functions
24Exponential Functions
1. 24.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
2. 24.2Exponents: Division rule (a^x / a^y) = a^(x-y)
3. 24.3Exponents: Power rule (a^x)^y = a^(x * y)
4. 24.4Exponents: Negative exponents
5. 24.5Exponents: Zero exponent: a^0 = 1
6. 24.6Exponents: Rational exponents
7. 24.7Solving exponential equations using exponent rules
8. 24.8Graphing exponential functions
9. 24.9Graphing transformations of exponential functions
10. 24.10Finding an exponential function given its graph
25Logarithmic Functions
1. 25.1What is a logarithm?
2. 25.2Converting from logarithmic form to exponential form
3. 25.3Evaluating logarithms without a calculator
4. 25.4Common logarithms
5. 25.5Natural log: ln
6. 25.6Evaluating logarithms using change-of-base formula
7. 25.7Converting from exponential form to logarithmic form
8. 25.8Solving exponential equations with logarithms
9. 25.9Product rule of logarithms
10. 25.10Quotient rule of logarithms
11. 25.11Combining product rule and quotient rule in logarithms
12. 25.12Evaluating logarithms using logarithm rules
13. 25.13Solving logarithmic equations
14. 25.14Graphing logarithmic functions
15. 25.15Finding a logarithmic function given its graph
26Applications of Exponential and Logarithmic Functions
1. 26.1Exponential growth and decay by a factor
2. 26.2Exponential decay: Half-life
3. 26.3Exponential growth and decay by percentage
4. 26.4Finance: Compound interest
5. 26.5Continuous growth and decay
6. 26.6Logarithmic scale: Richter scale (earthquake)
7. 26.7Logarithmic scale: pH scale
8. 26.8Logarithmic scale: dB scale
9. 26.9Finance: Future value and present value
27Sequences and Series
1. 27.1Arithmetic sequences
2. 27.2Arithmetic series
3. 27.3Geometric sequences
4. 27.4Geometric series
5. 27.5Infinite geometric series
6. 27.6Sigma notation
28Permutations and Combinations
1. 28.1Fundamental counting principle
2. 28.2Factorial notation
3. 28.3Path counting problems
4. 28.4Permutation vs. Combination
5. 28.5Permutations
6. 28.6Combinations
7. 28.7Problems involving both permutations and combinations
8. 28.8Pascal's triangle
9. 28.9Binomial theorem

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What is College Algebra?

What is Algebra and why do we need it? Algebra can be defined as the branch of math that uses symbols and letters in lieu of numbers to study a variety of phenomena. Often times these symbols represent a simplification of known or unknown variables and factors involved in a complex algebraic equations or formulas. Algebraic equations and formulas are often used to describe a relationship between these variables. The study of Algebra also involves the rules that dictate how these symbols and letters operate.

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I'm taking Algebra 3 in high school. Is your college algebra help the right course for me?
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Your college algebra help is great, but what if I need to review more basic algebra problems in a case that I am stuck on a question. Can I do it here?
This course is designed for college algebra. If you need help on more basic concepts which are not covered in this course, you may look at other courses such as Algebra 1 and Algebra 2. It's all included in your subscription.
What are the prerequisites for College Algebra?
A prerequisite is either Algebra 1 or Algebra 2 and after you mastered College Algebra, your follow up course should be either Calculus 1 or Statistics or Business Calculus.

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College Algebra Help & Practice

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1Surface Area and Volume ?

2Rational Numbers

3Powers and Exponents

4Number System and Radicals

5Radicals

6Exponents

7Operations of Polynomials

8Factorising Polynomial Expressions

9Introduction to Relations and Functions

10Linear Functions

11Absolute Value Functions

12Linear Equations

13Solving Linear Systems

14Linear Inequalities

15Inequalities in Two Variables

16Factorising Quadratic Equations

17Quadratic Functions

18Quadratic Equations and Inequalities

19Graphing Rational Functions

20Functions

21Direct and Inverse Variation

22Piecewise Functions

23Transformations of Functions

24Exponential Functions

25Logarithmic Functions

26Applications of Exponential and Logarithmic Functions

27Sequences and Series

28Permutations and Combinations

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What is College Algebra?

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How to pass College Algebra?

I'm taking Algebra 3 in high school. Is your college algebra help the right course for me?

Your college algebra help is great, but what if I need to review more basic algebra problems in a case that I am stuck on a question. Can I do it here?

What are the prerequisites for College Algebra?

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1Surface Area and Volume