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 4(3 + 5)?

Back

You multiply 4 by both 3 and 5: 4(3 + 5) = 4*3 + 4*5 = 12 + 20 = 32.

Front

What is the result of distributing 2 over the expression (x + 3)?

Back

2(x + 3) = 2x + 6.

Front

If you have the expression 5(2y - 4), what is the simplified form after distribution?

Back

10y - 20.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its most basic form.

Front

What is the result of distributing -3 over (x - 2)?

Back

-3(x - 2) = -3x + 6.

Front

How do you distribute a negative sign in an expression?

Back

Distributing a negative sign means to multiply each term inside the parentheses by -1.

Front

What is the equivalent expression for 6(2a + 3b)?

Back

12a + 18b.

Front

When distributing, what should you do with constants outside the parentheses?

Back

Multiply the constant by each term inside the parentheses.

Front

What is the result of distributing 1/2 over (4x + 8)?

Back

1/2(4x + 8) = 2x + 4.