Algebraic Proofs Quiz

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9 Terms

1
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Addition Property

If a=b, then a+c = b+c

2
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Subtraction Property

If a=b then a-c = b-c

3
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Multiplication Property

If a=b, then ac=bc

4
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Division Property

If a=b, then a/c = b/c (as long as c is not 0)

5
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Distributive Property

If a(b+c), then a(b+c) = ab+ac

6
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Substitution Property

If a=b, then a may be replaced by b in any expression or equation

7
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Reflexive Property

a=a

8
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Symmetric Property

a=b, then b=a

9
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Transitive Property

a=b and b=c, then a=c