MMB Alg I Properties
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| Commutative Property of Addition | 2 + 7 = 7 + 2
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| Associative Property of Addition | (3 + 7) + 5 = 3 + (7 + 5)
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| Identity Property of Addition | (-12) + 0 = -12
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| Inverse Property of Addition | (-8) + (+8) = 0
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| Commutative Property of Multiplication | 6*5 = 5*6
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| Associative Property of Multiplication | (3*4)*9 = 3*(4*9)
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| Identity Property of Multiplication | 15*1 = 15
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| Property of Zero | 8 * 0 = 0
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| Property of -1 | (-6) * (-1) = 6
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| Distributive Property (right side) | (x+8)6 = 6x + 48
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| Distributive Property (left side) | 3(x-5) = 3x - 15
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| Inverse Property of Multiplication | (2/3)*(3/2) = 1
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| Reflexive Prop of Equality | 8=8
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| Symmetric Property of Equality | If 4=x, then x=4
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| Transitive Property of Equality | If x=2 and 2=y, then x=y
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| Addition Property of Equality | If x-5 = 12, then x = 17
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| Subtraction Property of Equality | If x+23 = (-9), then x = (-32)
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| Multiplication Property of Equality | If (2/5)x = 40, then x = 100
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| Division Property of Equality | If (-8)x = 64, then x = -8
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| Substitution Property | If x = 5 and x + y = z, then 5 + y = z
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| Closure Property of Addition for the Reals | 3 + 7 = a real number
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| Closure Property of Subtraction for the Reals | 9 - (-14) = a real number
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| Closure Property of Multiplication for the Reals | (-32)*(pi)= a real number
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| Closure Property of Division of the Reals | (10)/(2) is a real number
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Created by:
Mrs. Brogan MMB
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