College Algebra Help & Practice

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Our comprehensive lessons on algebra help cover topics including Solving inequalities, Exponents, Matrices, Solving linear equations, Domain and Range, Factoring polynomials, Quadratic equations, Graphing inequalities, just to name a few. Learn the concepts with our video tutorials that show you step-by-step solutions to even the hardest algebra problems. Then, strengthen your understanding with tons of algebra practice.

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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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)
  6. 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
  7. 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
  8. 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 ax2+bx+cax^2 + bx + c
    8. 8.8Factorising polynomials: ax2+bx+cax^2 + bx + 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
  9. 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
  10. 10Linear Functions
    1. 10.1Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 10.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 10.3Gradient equation: m=y2−y1x2−x1m = \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−y1=m(x−x1)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
  11. 11Absolute Value Functions
    1. 11.1Absolute value functions
    2. 11.2Solving absolute value equations
    3. 11.3Solving absolute value inequalities
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 17Quadratic Functions
    1. 17.1Characteristics of quadratic functions
    2. 17.2Transformations of quadratic functions
    3. 17.3Quadratic function in general form: y = ax2+bx+cax^2 + bx+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
  18. 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
  19. 19Graphing Rational Functions
    1. 19.1Graphing reciprocals of linear functions
    2. 19.2Graphing reciprocals of quadratic functions
    3. 19.3Graphs of rational functions
  20. 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
  21. 21Direct and Inverse Variation
    1. 21.1Direct variation
    2. 21.2Inverse variation
    3. 21.3Joint and combined variation
  22. 22Piecewise Functions
    1. 22.1Evaluating piecewise functions
    2. 22.2Graphing piecewise linear functions
    3. 22.3Graphing piecewise non-linear functions
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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

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.

Understandably, many of you may have thought you escaped Algebra after graduating high school. Kissing polynomials and inequalities goodbye must have left you overjoyed! The reality for many of you however is that Algebra will continue to be fundamental as you begin your college education - In fact, much of Algebra forms the basis of all math you have learnt up to now! The utility of Algebra is particularly prominent in fields of science, technology, engineering and math (STEM). Moving forward and beyond academia, Algebra will continue to be your friend in a process you may know as "growing up". Use StudyPug and gain more than just great grades in this intro to College Algebra! Learn life skills to improve your financial planning and budgeting, assess risks in your business or investment ventures, and make good decisions regarding healthcare insurance.

Already feeling unprepared for College Algebra and all those College Algebra formulas that will ensue? Wish you didn't burn all your Algebra 1 and Algebra 2 notes after graduating highschool? StudyPug takes learning College Algebra online, catered for all levels, beginning at College Algebra for dummies! Otherwise browse our other online math courses and get the Algebra help you need! We cover Algebra 1 problems and offer comprehensive Algebra 1 review so let us help you cut to the chase and get you up to speed with whatever you may need right away!

Is College Algebra hard?

College Algebra will definitely be harder than the likes of Algebra 1 or Algebra 2. But if you have completed these courses, you should be well prepared to tackle College Algebra. College Algebra math will build on elementary Algebra concepts you learnt in Algebra 1 and Algebra 2, so not everything will come as a surprise. Furthermore, some of the skills learnt in Algebra 1 and Algebra 2 will be accessed and advanced in College Algebra. Our College Algebra tutors are always available, 24/7 to provide you help with College Algebra. Whether you are just beginning Algebra, or feel like you need to learn Algebra alongside Algebra for dummies, find yourself solving increasingly difficult Algebra problems in no time with the help of our expert, knowledgeable tutors.

At StudyPug we want to help you learn Algebra topics at your own pace and master all things Algebra! So do not fret if you feel like some topics such as linear equations or permutations and combinations, are more challenging than others, this is normal! My Algebra skills are not the same as yours, and you can certainly expect an increase in the level of difficulty jumping from Algebra 1 or Algebra 2 into College Algebra. Rest assured, we will leave no student behind or question unanswered, so be prepared for a wealth of learning!

How to learn College Algebra?

While there is no one formula per se that you could use to learn College Algebra, we would still like to suggest the following on how to do Algebra, or how to learn algebra using StudyPug:

At StudyPug we have over 1000's of lessons, each containing several step-by-step examples to provide you with the best College Algebra study guide money can buy! With immediate access to the entire course, learn College Algebra by supplementing your learning of topics already covered in class, learn ahead to gain new skills and practice with more challenging topics, or swing back to refresh your memory and obtain complete coverage of previous topics.

Remember that some of these lessons will build on Algebra content you have previously learnt. A strong grasp of these more basic, core concepts is critical to being successful in College Algebra. Take advantage of your unlimited access to all of StudyPug and do not skip out the essentials! Do not be ashamed if you have forgotten how to solve quadratic equations, how to wrangle radicals, or operate functions. This is a place to learn and we all start somewhere!

With 24/7 help, our online College Algebra course is a great way to learn College Algebra with the confidence that no time is wasted. We want you to get the most out of your learning by practicing as many College Algebra problems as possible. Practicing is essential because it confirms that you have successful learnt, comprehended, and achieved the learning objective(s) of that lesson. Supplement your College Algebra textbook or College Algebra worksheets with our inventory of unique questions! The greater exposure you have with a variety of questions, the more learning will ensue as you encounter different styles of questions and different ways to solve problems.

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How to pass College Algebra?

Going through and successfully passing College Algebra is a big step in making sure you are well oiled for courses like Calculus and Statistics. Perhaps some of you are keeners preparing for your big CLEP exam - Passing your CLEP College Algebra exam means a lot for you as you are hoping to just jump straight into the deep waters of Calculus and Statistics as soon as you start College. Fear not as such is no secret to our team here at StudyPug. We get that exams are stressful and a lot can hang in the balance in getting the grades and meeting the academic goals you desire.

Here at StudyPug we set you up for success right from the get go: Our College Algebra lessons are geared for test takers and exam reviewers looking for a way to get more out of College Algebra practice problems. Our quick and concise College Algebra tutorials focus heavily on walking through example questions to help with your College Algebra exam prep. By explaining the thought process, looking at alternative methods to solve problems, highlighting common mistakes and identifying pro tips and strategies, we offer you the best help when exercising college algebra practice.

By providing you with a thorough yet rapid College Algebra review experience, we are able to cover more topics and questions in a shorter amount of time! Worry no more about cramming or convoluted questions and let us help you ease into the habit of making College Algebra practice easy practice! With our vast repertoire of College Algebra questions, we seek to provide you a way to sample a College Algebra practice test without the hassle of having to finding accompanying answers. Each question has been uniquely designed to offer you easy practice with College Algebra test and exam style questions. Feeling stuck? Simply swing back into the lesson and review the methods and steps required to solve similar kinds of questions.

We truly believe that practicing math problems is the best way to learn, apply and prepare yourself for any upcoming College Algebra assessment. So what are you waiting for? Dive into our collection of up to 1420 College Algebra practice questions and resurface ready and confident to pass any College Algebra assessment!

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

    Yes. You can find anything you need in this course. Depending on your algebra teacher and school, some of you may touch on a bit of Trig topics, and need Trigonometry help. No worries. Your subscription gives to unlimited access to all courses!

  • 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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