Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you apply the Distributive Property to the expression 7(k - 2)?

Back

By applying the Distributive Property, 7(k - 2) becomes 7k - 14.

Front

What is the result of 5(v + 1) when v = 4?

Back

When v = 4, 5(v + 1) becomes 5(4 + 1) = 5(5) = 25.

Front

Rewrite the expression 5(y - 1) using the Distributive Property.

Back

Using the Distributive Property, 5(y - 1) becomes 5y - 5.

Front

What is the result of 4(x - 5) when simplified?

Back

4(x - 5) simplifies to 4x - 20.

Front

What is the Associative Property of multiplication?

Back

The Associative Property states that (a x b) x c = a x (b x c, meaning the way in which factors are grouped does not change the product.

Front

How can you rewrite (9 x 6) x 5 using the Associative Property?

Back

Using the Associative Property, (9 x 6) x 5 can be rewritten as 9 x (6 x 5).

Front

What is an example of applying the Distributive Property with negative numbers?

Back

An example is -3(m + 4), which becomes -3m - 12.

Front

What is the difference between the Distributive Property and the Associative Property?

Back

The Distributive Property involves distributing a factor across a sum or difference, while the Associative Property involves regrouping factors without changing the product.

Front

How do you simplify the expression 2(3 + 4) using the Distributive Property?

Back

Using the Distributive Property, 2(3 + 4) simplifies to 2*3 + 2*4 = 6 + 8 = 14.