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All you need to know

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Commutative property   "3 + 4= 4 + 3" or "2 x 5= 5 x 2"  
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Distributive property   a(b+c) = ab+ac, but a/(b+c) ≠ a/b + a/c  
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Factoring (Reverse Distributive Property)   ab + ac = a(b+c)  
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Reciprocal of "A" in addition and subtraction   -A  
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Reciprocal of "A" in multiplication and division   1/A  
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Reciprocal of "-A" in addition and subtraction   A  
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Reciprocal of "A/B" in multiplication and division   B/A  
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Mixed Numbers   2 3/4 (has whole number and a fractional part)  
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2 + 1/2   =2 1/2  
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2 x 1/2   = 1  
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Implied multiplication   a b/c = a x b/c (Not 2 1/2 ≠ 2 x 1/2)  
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Ratio   2:1 or 3:4 .......... A ratio is a statement of how two numbers compare. It is a comparison of the size of one number to the size of another number  
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Exponents   An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd means: 2 x 2 x 2 = 8. 34  
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Natural Numbers   The set of numbers 1,2,3,4,... Also called counting numbers  
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Whole numbers   Natural numbers (counting numbers) and zero; 0,1,2,3,4,...  
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Integers   All whole numbers (both positive and negative) and zero  
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Rational Numbers   Numbers that can be written as factions, including terminating and repeating decimals, and interges  
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Irrational Numbers   Numbers that cannot be expresses as a ratio of two integers. Their decimal expansions are non-ending and non-repeating (like pi or the square root of 2)  
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Pythagorean Theorem   A2+b2=c2  
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FOIL (First, Outside, Inside Last)   (a+b)(c+d)= ac+ ad+bc+bd  
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