Algebraic Proofs Flashcards

1
Q

x = y → x + a = y + a

A

Addition Property of Equality

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2
Q

x = y → x - a = y - a

A

Subtraction Property of Equality

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3
Q

x = y → ax = ay

A

Multiplication Property of Equality

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4
Q

x = y → x/a = y/a

A

Division Property of Equality

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5
Q

x = y → y = x

A

Symmetric Property of Equality

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6
Q

x is a value → x = x

A

Reflexive Property of Equality

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7
Q

a(x + y) → ax + ay

A

Distribution Property

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8
Q

x = y, and y = z → x = z

A

Transitive Property of Equality

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9
Q

x + y = z, and x = a → a = y = z

A

Substitution Property of Equality

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