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SAT Math: Solving Impossible Math Problems


solving-impossible-math-problemsThe SAT sometimes approaches math a bit differently than we’re used to in math class.  One of these differences in approach is in the way some SAT math problems ask us to solve for relationships between variables, rather than the value of one particular variable.  These problems can seem very challenging, or even downright impossible, at first glance, because they often give us multiple variables but only one equation.  

One thing we learn in math class when studying systems of equations is that in order to solve for 2 variables, we usually need 2 separate equations; to solve for 3 variables, we need 3 separate equations; and so on.   Certain SAT math problems will appear to violate that general rule and ask us to do something that’s supposed to be impossible, like solving for 2 variables with only 1 equation.  When we look more closely at such problems, though, we realize that the SAT is not really asking for the value of each individual variable involved.  Instead, we’re asked to find the value of the sum, product, or some other relationship involving 2 or more variables.  

How to Self-Study for an AP Exam

how to self study for an ap exam

Unfortunately, not all high school AP programs are created equal. Even though colleges put your AP exams in the context of how many were offered at your school, there are major tuition savings to be had from doing well on more AP exams. If you find yourself wanting to take an AP exam that your school does not offer, here is how you can ace the exams on your own:

Pick Your Textbook

This is an important decision as it will form the basis of your self-study journey, especially for exams that have recently gotten a facelift from the CollegeBoard. For such exams, like AP Biology in the 2012-2013 school year, you will want to Google “SUBJECT NAME textbook correlations”.

For most redesigned exam, the CollegeBoard collects correlation assessments from textbook publishers to ensure that their books align with the exam frameworks.  This is usually the ideal way to pick the best textbook.

If a comprehensive correlations document is not available, then you can look for the “SUBJECT NAME example textbook list”, which is more commonly available. Get the latest edition whenever possible and if you can’t decide, just go with whichever one you think has the most reputable publisher behind it.

Either way, do not spend too much time obsessing over the textbook you use – the important thing is how you will use it. 

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