Algebra

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Solving systems of equations by graphing (even after Algebra 1)
When learning about lines in Algebra 1, you likely learned how to solve a system of (linear) equations, such as the following, by graphing:
How algebra is like a chainsaw: or using common sense on the GMAT
A question I often like to ask my students is, “If you didn’t know how to use a chainsaw, would you play around with it?”Usually the student jokes with me and says of course, but then admits that no, they probably wouldn’t.At least not until they’ve received some training.The reason is obvious: using a tool that you don’t know how to handle is ...
How to sketch any graph by eye
Equations in math are useful but they’re also kind of inefficient – for each x value, you have to do a separate calculation to figure out what y is. Graphs take that equation and turn it into a visual, something you can look at and immediately see what happens at different values of x, how the function changes, and more!
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