Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply a term by each term inside a set of parentheses.

Front

What is the result of applying the Distributive Property to 3(x + 4)?

Back

3(x + 4) = 3x + 12.

Front

How do you simplify the expression 5(2y + 3)?

Back

5(2y + 3) = 10y + 15.

Front

What is the equivalent expression for 6(a + 2b)?

Back

6(a + 2b) = 6a + 12b.

Front

If you have the expression 4(x + 7), what is the result when you distribute?

Back

4(x + 7) = 4x + 28.

Front

What is the result of distributing -2 to (x - 5)?

Back

-2(x - 5) = -2x + 10.

Front

How do you factor the expression 12x + 36?

Back

12x + 36 = 12(x + 3).

Front

What is the equivalent expression for 10(z - 6)?

Back

10(z - 6) = 10z - 60.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors.