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Properties learned in Algebra 1

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
Addition Property of Equality   For every real number a, b, and c, if a = b, then a + c = b + c.  
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Subtraction Property of Equality   For every real number a, b, and c, if a = b, then a - c = b - c.  
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Multiplication Property of Equality   For every real number a, b, and c, if a = b, then a * c = b * c.  
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Division Property of Equality   For every real number a, b, and c, where c is nonzero, if a = b, then a/c = b/c.  
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Identity Property of Addition   For every real number a, a + 0 = a.  
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Inverse Property of Addition   For every real number a, there is an additive inverse -a such that a + (-a) = 0.  
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Identity Property of Multiplication   For every real number a, a * 1 = a.  
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Inverse Property of Multiplication   For every nonzero real number a, there is a multiplicative inverse 1/a such that a(1/a) = 1.  
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Distributive Property   For every real number a, b, and c, a(b + c) = ab + ac a(b - c) = ab - ac (b + c)a = ba + ca (b - c)a = ba - ca  
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Multiplication Property of Zero   For every real number n, n * 0 = 0.  
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Multiplication Property of -1   For every real number n, -1 * n = -n  
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Commutative Property of Addition   For every real number a and b, a + b = b + a  
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Commutative Property of Multiplication   For every real number a and b, a * b = b * a  
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Associative Property of Addition   For every real number a, b, and c, (a + b) + c = a + (b + c)  
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Associative Property of Multiplication   For every real number a, b, and c, (a * b) * c = a * (b * c)  
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Created by: BNSAlgebra
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