When working with exponents, there are two new words that come up: exponent and base. As an example, in , 2 is the exponent while is the base and in , 12 is the exponent while is the base. As long as the exponent is a positive whole number, you can think of it as [...]

It doesn’t matter what function you are looking at, the y intercept is the point at which the graph of that function crosses the y-axis. That means the point can always be written (0, c) for some number c. Finding y Intercepts Along the y-axis, the x value of any point is zero. This means [...]

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Given the graph of any function like y = x – 2, the x intercept is simply the point where the graph crosses the x-axis. There might be just one such point or many. In either case, the idea stays the same. Another way to think about this is, the x intercept is the point [...]

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Matrix multiplication is just one of those things that is not intuitive – at least not at first. You have just had so many years of multiplication meaning one thing and then you have this entirely new definition to work with! It certainly takes some getting used to. (and if you continue to study advanced [...]

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The phrase “two step equation” simply refers to linear equations that take two steps to solve. This comes from the idea of a one-step equation which, you guessed it – takes ONE step to solve! See, you got it already! Just to make it perfectly clear, let’s take a look at an example. The equation [...]

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While there are plenty of methods to get a good hand drawn graph of a linear equation, many plot more points than necessary and (if you aren’t careful) misrepresent the location of two important points: the x and y intercepts. Using the intercepts to plot your line takes care of both of these problems and [...]

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At this point, I haven’t even written out any equation or expression and you already know what I’m talking about. There are problems that come up in algebra where it seems like you should be able to cancel a variable out and move on. Yet, in these very situations your professor keeps telling you it [...]

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There are many many ways to solve a quadratic equation (any equation that can be written as ), but today I’m going to focus on using the quadratic formula. Surely by now, you have seen a nice song to help you memorize it right? And you saw this nice tool to check your answer with [...]

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While expressions with many exponents and variables can look complicated, simplifying them is really just about applying the laws of exponents one by one. When working on problems like these, make sure that you are never combining two terms with different bases and not leaving any negative exponents (this varies but it is most common [...]

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To use this solver, your quadratic equation should be written in the form . Simply input the coefficients (a,b,c) into the space below! While it will show you the steps, be aware that wolfram alpha (the program behind this widget) likes to complete the square for just about everything which may not be the most [...]

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