{"id":1449,"date":"2013-12-16T09:00:25","date_gmt":"2013-12-16T09:00:25","guid":{"rendered":"https:\/\/magoosh.com\/sat\/?p=1449"},"modified":"2018-06-26T07:20:45","modified_gmt":"2018-06-26T14:20:45","slug":"important-sat-math-formulas-facts","status":"publish","type":"post","link":"https:\/\/magoosh.com\/sat\/important-sat-math-formulas-facts\/","title":{"rendered":"Important SAT Math Formulas and Facts"},"content":{"rendered":"

Below is a list of formulas and math facts you\u2019ll need if you\u2019re looking to ace SAT math<\/a>. A lot of it should be old hat for you at this point\u2014after all, you study this stuff in school, right?\u2014but it\u2019s definitely handy to have it all in one place for reference, and there are some nifty shortcuts sprinkled through the list that you might not be aware of yet, too. <\/p>\n

For more detailed information about the math formulas you’ll need to know for the SAT, be sure to take a look at Magoosh’s SAT Math Formula eBook! (And for even more free SAT<\/a> prep, you can check out Magoosh’s SAT study guide, as well!)<\/p>\n

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Arithmetic and Number Properties<\/h2>\n

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Order of Operations<\/b><\/p>\n

The Associative Property:<\/span><\/p>\n

\"(a+b)+c=a+(b+c)\"<\/p>\n

\"(a*b)*c=a*(b*c)\"<\/p>\n

The Distributive Property:<\/span><\/p>\n

\"a*(b+c)=ab+ac\"
\n\"a*(b-c)=ab-ac\"
\n\"(a+b)\/c=(a\/b)+(b\/c)\"
\n\"(a-b)\/c=(a\/b)-(b\/c)\"<\/p>\n

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Fast Fractions<\/b><\/p>\n

\"{1\/x}+{1\/y}={x+y}\/{xy}\"
\nFor example: \"{1\/2}+{1\/5}={2+5}\/{2*5}=7\/10\"<\/p>\n

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Exponents and Roots<\/b><\/p>\n

Laws for Combining:<\/span><\/p>\n

\"{x^a}*{x^b}=x^(a+b)\"<\/p>\n

\"{x^a}\/{x^b}=x^(a-b)\"<\/p>\n

\"(x^a)^b=x^(a*b)\"<\/p>\n

1 and 0 as bases: <\/span><\/p>\n