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 2(c - 8)?

Back

You multiply 2 by both c and -8, resulting in 2c - 16.

Front

Simplify the expression 5(2 - 7n) using the Distributive Property.

Back

Distributing gives 5*2 - 5*7n, which simplifies to 10 - 35n.

Front

What is the result of distributing 2 in the expression 2(4x - 7)?

Back

Distributing gives 2*4x - 2*7, which simplifies to 8x - 14.

Front

When distributing 10 in the expression 10(x - 20), what is the simplified result?

Back

Distributing gives 10*x - 10*20, which simplifies to 10x - 200.

Front

What is an equivalent expression for 3(2c - 5) using the Distributive Property?

Back

Distributing gives 3*2c - 3*5, which simplifies to 6c - 15.

Front

Can the Distributive Property be used with subtraction?

Back

Yes, the Distributive Property can be applied to both addition and subtraction.

Front

What is the first step in applying the Distributive Property to an expression?

Back

Identify the factor outside the parentheses and the terms inside the parentheses.

Front

If you have the expression 4(x + 3), what is the result after applying the Distributive Property?

Back

The result is 4x + 12.

Front

How would you simplify the expression 7(3y - 2) using the Distributive Property?

Back

Distributing gives 7*3y - 7*2, which simplifies to 21y - 14.