Question

I WILL GIVE YOU 100 points and Braine at Math Properties of Equality, Part 2

For each expression, write an equivalent expression to show the

mathematical properties of equality.

Distributive Property:

6(m +4) = ?

Associative Property:

2 + (m + x) = ?

Commutative Property:

x + 3 = ?

Distributive Property:

3(2y - 6) = ?

Distributive Property:

m(y + 5) = ?

Answer 1

1. 6(m + 4) = 6m + 24

2. 2 + (m + x) = (2 + m) + x

3. x + 3 = 3 + x

4. 3(2y - 6) = 6y - 18

5. m(y + 5) = my +5m

Explanation:

1. Distributive property "distributes"/multiplies the 6 outside the parentheses to each term inside the parentheses.

2. Associative property deals with how terms and numbers are grouped into parentheses. The terms/numbers stay in the same order.

3. The commutative property means terms can change in order, and you will still get the same result.

4, 5. See #1 above. Distribute/multiply the number/term outside the parentheses to the numbers/terms inside.

Let me know if you have questions.