Distributive Property Flashcard #1

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

Calculate the area of a rectangle with length 6p and width 3. What is the expression for the area?

Back

The area is 6p * 3 = 18p.

Front

If the width of a rectangle is 7 and the length is represented as 3w + 4, what is the expression for the area?

Back

The area is 7(3w + 4) = 21w + 28.

Front

What mistake is made in the expression 2(3y + 8) = 6y + 8?

Back

The mistake is that they didn't multiply the 8 in the parentheses by 2. The correct expression is 6y + 16.

Front

Which expression is equivalent to 5(a + 6)?

Back

5(a + 6) = 5a + 30.

Front

What is the result of applying the Distributive Property to 4(2x + 5)?

Back

4(2x + 5) = 8x + 20.

Front

If you have the expression 5(2x + 1), what is the correct way to simplify it?

Back

5(2x + 1) = 10x + 5.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Identify the mistake in the expression 5(2x + 1) = 5(3x).

Back

The mistake is that you can't combine 2x + 1 to get 3x because they aren't like terms.

Front

What is the area of a rectangle with length 12w and width 7?

Back

The area is 12w * 7 = 84w.