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Properties of Equality

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Term
Definition
Addition Property of Equality   You can add the same number to both sides of an equation, and the statement will be true.  
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Addition Property of Equality   -3 + x = 5 +3 +3 __________ x = 8  
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Subtraction Property of Equality   You can subtract the same number from both sides of the equation, and the statement will be true.  
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Subtraction Property of Equality   x + 7 = 14 -7 -7 ____________ x = 7  
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Multiplication Property of Equality   x/6 = 3 6 * x/6 = 3 * 6 x = 18  
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Multiplication Property of Equality   you can multiply both sides of an equation by the same number, and the statement will still be true.  
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Division Property of Equality   You can divide both sides of an equation by the same nonzero number, and the statement will be true  
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Division Property of Equality   6x = 36 6x/6 = 36/6 x = 6  
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Additive inverse   The opposite of a number. Two numbers are additive inverses if their sum is zero.  
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-5   What is the additive inverse of 5?  
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associative property of addition   For all numbers a,b, and c (a+b) +c = a + (b + c)  
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associative property of multiplication   For all numbers a, b and c. (a x b) x c = a x (b x c)  
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commutative property of addition   Name the property. 3+4 = 4 + 3  
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commutative property of multiplication   Name the property. 3(12) = 12(3)  
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Distributive property   What property is used below? 3(4+5) = 3(4) + 3(5)  
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Multiplicative inverse   the reciprocal of a number  
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1/5   What is the multiplicative inverse of 5?  
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