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Properties

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**Properties (Answers) Commutative Property Associative Property**

Distributive Property Additive Identity Additive Inverse Multiplicative Identity Multiplicative Inverse Substitution Symmetric Equality Transitive Equality Addition Property of Equality Multiplication Property of Equality Zero Product Property

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Hr. 6: 3 * 1 = 3 1 * 5 = 5 Hr. 7: 7 * 1 = 7 1 * 6 = 6

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**5B - B = 4B Replace B with Bananas**

(So this means: Eat 1 Banana out of a bunch of 5 Bananas and 4 Bananas are left.)

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Hr. 6: If x = 7, then 5x = 35 If x = 8, then 6x = 48 Hr. 7: x = p, then 2x = 2p ab = c, then (a)ab = ac ab = c, then 8ab = 8c

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Hr. 6: 3(X + 1) = 3x + 3 7(X + 2) = 7x + 14 Hr. 7 : 4(X - 7) = 4x - 28 Hr. 7 4(B + -2) = 4B - 8

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**Hr. 6: F(a) = a + 1. F(2) = 3 Hr. 7 : y = 1 + a, when a = 2, y = 3**

Y = 22 +X. When X = 4, then Y = 26. F(a) = a F(2) = 3 Hr. 7 : y = 1 + a, when a = 2, y = 3 Hr. 7 f(x) = 8x, then f(1) = 8

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Hr. 6: 3 + 0 = 3 = 37 Hr. 7: 4 + 0 = 4 6 + 0 = 6

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**Hr. 7: Hr. 6: 3 = x, then 9 = x + 6 if x = 1, then x + 8 = 9**

x = q, then x + 1 = q + 1 X = 3, then x + 5 = 8

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Hr. 6: 5P = 0, then P = 0 If A(J+1) = 0, then A = 0 or (J+1) = 0 Hr. 7: 4X = 0, then X =0 6Y = 0, then Y =0 AB = 0, then either A = 0 or B = 0

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Hr. 6: If a = b and b = d, then a = d x = y and y = z, so x = z Hr. 7: If x = 2 and 2 = y, then x = y Hr. 7 If x = k and k = y, then x = y If 1+4 = 5 and 5 = 3 + 2, then = 3 + 2

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Hr. 6: 63 * 1/63 = 1 3/7 * 7/3 = 1 Hr. 7 7 * 1/7 = 1 4/7 * 7/4 = 1

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Hr. 6: 6 + 4 = 4 + 6 A + B + C = B + C +A Hr. 7: 9 + 2 = 2 + 9 1+2+3 = 2+1+3

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Hr. 6: If 93 = a, then a = 93 If x + 4 = y, then f(x) = x + 4 Hr. 7 If 8 = x, then x =8 If x + 7 = y, then y = x + 7

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Hr. 6: 6 + 4 = 4 + 6 A + B + C = B + C +A Hr. 7: 9 + 2 = 2 + 9 1+2+3 = 2+1+3

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Hr. 6: = 0 5 - 5 = 0 Hr. 7 : = 0 Hr. 7 = 0

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**Properties Examples Block 6/7 2011**

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**Properties (Answers) Commutative Property Associative Property**

Distributive Property Additive Identity Additive Inverse Multiplicative Identity Multiplicative Inverse Substitution Symmetric Equality Transitive Equality Addition Property of Equality Multiplication Property of Equality Zero Product Property Game 1

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Hr. 7 7 * 1/7 = 1 .

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**Answer a different property than Substitution.**

Hr. 6: If x = 8, then 6x = 48 Answer a different property than Substitution. .

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Hr. 7: 6Y = 0, then Y =0 .

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Hr. 6: 3 + 0 = 3 .

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Hr. 7 = 0 .

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Hr. 7: (2 + 3) + 5 = 2 + (3 + 5)

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Hr. 7 4(B + -2) = 4B - 8 .

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**Answer a different property than Substitution.**

Hr. 6: if x = 1, then x + 8 = 9 Answer a different property than Substitution. .

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Hr. 7: 7 * 1 = 7 .

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Hr. 7: 1+2+3 = 2+1+3

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Hr. 6: If a = b and b = d, then a = d .

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Hr. 7 If 8 = x, then x =8 .

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Hr. 7 f(x) = 8x, then f(1) = 8 .

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**Properties (Answers) Commutative Property Associative Property**

Distributive Property Additive Identity Additive Inverse Multiplicative Identity Multiplicative Inverse Substitution Symmetric Equality Transitive Equality Addition Property of Equality Multiplication Property of Equality Zero Product Property Game 2

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Hr. 6: 3 = x, then 9 = x + 6 Not Substitution .

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9 + 2 = 2 + 9 Hr. 7:

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Hr. 6: = 37 .

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Hr. 7: If x = 2 and 2 = y, then x = y .

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Hr. 7: ab = c, then 8ab = 8c .

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Hr. 7 : y = 1 + a, when a = 2, y = 3 .

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Hr. 7 If x + 7 = y, then y = x + 7 .

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Hr. 7 : = 0 .

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Hr. 7 : 4(X - 7) = 4x - 28 .

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Hr. 6: 1 * 5 = 5 .

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**5B - B = 4B Replace B with Bananas.**

(So this means: Eat 1 Banana out of a bunch of 5 Bananas and 4 Bananas are left.)

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Hr. 7: (a + b) + c + d = a + b + (c + d)

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Hr. 6: 3/7 * 7/3 = 1 .

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**If A(J+1) = 0, then A = 0 or (J+1) = 0**

Hr. 6: If A(J+1) = 0, then A = 0 or (J+1) = 0 .

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**Properties (Answers) Commutative Property Associative Property**

Distributive Property Additive Identity Additive Inverse Multiplicative Identity Multiplicative Inverse Substitution Symmetric Equality Transitive Equality Addition Property of Equality Multiplication Property of Equality Zero Product Property Game 3

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Hr. 6: (3 x 4) x 2 = 3 x (4 x 2)

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Hr. 6: 3 * 1 = 3 .

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Hr. 6: F(a) = a F(2) = 3 .

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Hr. 6: If x + 4 = y, then f(x) = x + 4 .

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Hr. 7: x = q, then x + 1 = q + 1 .

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Hr. 6: x = y and y = z, so x = z .

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Hr. 7: AB = 0, then either A = 0 or B = 0 .

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Hr. 6: 5 - 5 = 0 .

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Hr. 6: 7(X + 2) = 7x + 14 .

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Hr. 7 4/7 * 7/4 = 1 .

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Hr. 7: x = p, then 2x = 2p .

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Hr. 7: 4 + 0 = 4 .

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Hr. 6: A + B + C = B + C +A

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**Properties (Answers) Commutative Property Associative Property**

Distributive Property Additive Identity Additive Inverse Multiplicative Identity Multiplicative Inverse Substitution Symmetric Equality Transitive Equality Addition Property of Equality Multiplication Property of Equality Zero Product Property Game 4

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Hr. 7: 1 * 6 = 6 .

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Hr. 6: = 0 . .

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Hr. 6: If 93 = a, then a = 93 .

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Hr. 6: If x = 7, then 5x = 35 NOT SUBSTITUTION .

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Hr. 6: 6 + 4 = 4 + 6

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Hr. 7: X = 3, then x + 5 = 8 .

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Hr. 6: 9 + (3 + 8) = (9 + 3) + 8

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Hr. 7 If x = k and k = y, then x = y .

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Hr. 7: ab = c, then (a)ab = ac .

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Hr. 6: 5P = 0, then P = 0 .

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Hr. 6: 3(X + 1) = 3x + 3 .

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Hr. 6: 63 * 1/63 = 1 .

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Hr. 6: Y = 22 +X. When X = 4, then Y = 26. . .

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Hr. 7 If 1+4 = 5 and 5 = 3 + 2, then = 3 + 2 .

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Hr. 7: 6 + 0 = 6 .

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Hr. 7: 4X = 0, then X =0 .

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