Algebraic Properties

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10 + (-6 + 11) = (10 + -6) + 11

Associative Property of Addition

3 + (12 + 1) = (3 + 12) + 1

Associative Property of Addition

(2 x 8) x 7 = 2 x (8 x 7)

Associative Property of Multiplication

(8 x 11) x 12 = 8 x (11 x 12)

Associative Property of Multiplication

3 x (4 x 8) = (3 x 4) x 8

Associative Property of Multiplication

15 + 7 + 3 = 7 + 15 + 3

Commutative Property of Addition

4 + 6 + 9 = 6 + 4 + 9

Commutative Property of Addition

8x + 9x = 9x + 8x

Commutative Property of Addition

x + 8 = 8 + x

Commutative Property of Addition

15 x (-7) = -7 x 15

Commutative Property of Multiplication

3 x 8 x 10 = 10 x 8 x 3

Commutative Property of Multiplication

5(-4) = -4(5)

Commutative Property of Multiplication

7(-5) = -5(7)

Commutative Property of Multiplication

3(2x + 5) = 6x + 15

Distributive Property

7(2x - 6) = 14x - 42

Distributive Property

8x + 6 = 2(4x + 3)

Distributive Property

-14 = 0 + (-14)

Identity Property of Addition

-21 = 0 + -21

Identity Property of Addition

0 + 9 = 9

Identity Property of Addition

4 + 0 = 4

Identity Property of Addition

-18 = -18(1)

Identity Property of Multiplication

-20(1) = -20

Identity Property of Multiplication

10 = 1(10)

Identity Property of Multiplication

6(1) = 6

Identity Property of Multiplication

-18 + 18 = 0

Inverse Property of Addition

0 = -5 + 5

Inverse Property of Addition

0 = -8 + 8

Inverse Property of Addition

7 + (-7) = 0

Inverse Property of Addition

7 + -7 = 0

Inverse Property of Addition

1 = -3(-1/3)

Inverse Property of Multiplication

4(1/4) = 1

Inverse Property of Multiplication

6(1/6) = 1

Inverse Property of Multiplication

-10/-1 = 10

Property of -1 (Division)

-15/-1 = 15

Property of -1 (Division)

-10 = 10 x -1

Property of -1 (Multiplication)

-18(-1) = 18

Property of -1 (Multiplication)

4(-1) = -4

Property of -1 (Multiplication)

0 = -15(0)

Zero Product Property

0 = 0(25)

Zero Product Property

4(0) = 0

Zero Product Property


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