State the property being illustrated in each example.

5.) 6(5x) = (6.5)x

6.) 14 + x + 8 = 14 + 8 + x

7.) 9(y + 4) = 9y + 36

8.) (a + 100) + 50 = a + (100 + 50)

9.) 1/4 (8x - 20) = 2x-5

10.) 25 - 7 = 25 .7 . y

The associative law means that if all the arithmetic operations in an equation are the same, the position of the brackets do not matter and no matter which variables are associated, the result would still be the same.

The commutative law means that if all the arithmetic operations in an equation are the same, the position of the variables do not matter and no matter what order the variables are placed, the result would still be the same.

The distributive law means that whatever is outside of the bracket has to be multiplied into the variables in the bracket evenly. E.g. 1/4 (8x - 20) involves multiplying both 8x by 1/4 and 20 by 1/4.

State the property being illustrated in each example. 5.) 6(5x) = (6.5)x 6.) 14 + x + 8 = 14 + 8 + x 7.) 9(y + 4) = 9y + 36 8.) (a + 100) + 50 = a + (100 + 50) 9.) 1/4 (8x - 20) = 2x-5 10.) 25 - 7 = 25 .7 . y

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State the property being illustrated in each example.

5.) 6(5x) = (6.5)x

6.) 14 + x + 8 = 14 + 8 + x

7.) 9(y + 4) = 9y + 36

8.) (a + 100) + 50 = a + (100 + 50)

9.) 1/4 (8x - 20) = 2x-5

10.) 25 - 7 = 25 .7 . y