math proofs Flashcards

(15 cards)

1
Q

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

A

Addition POE

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2
Q

If a = b then a x c = b x c

A

Multiplication POE

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3
Q

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

A

Subtraction POE

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4
Q

If a = b then a/c = b/c.

A

Division POE

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5
Q

Property of equality

A

POE

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6
Q

Combining like terms

A

CLT

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7
Q

a + a = 2a

A

Combining like terms

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8
Q

a ( b + c ) = ab + ac

A

Distributive property

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9
Q

a = a

A

Reflexive property

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10
Q

If a = b then a can be substituted for b
Ex. If a = b and b + c = d then a

A

Substitution property

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11
Q

a + b = c
a + b = d

A

Transitive property

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12
Q

If a = b then b = a

A

Symmetric property

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13
Q

b x a = a x b or a + b = b + a

A

Commutative property

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14
Q

Associative property

A
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15
Q
A
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