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 single term by two or more terms inside a set of parentheses.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. Formula: Area = length × width.

Front

Calculate the area of a rectangle with length 6m and width 5m.

Back

Area = 6m × 5m = 30m².

Front

Apply the distributive property: 3(2 + 4)

Back

3(2 + 4) = 3*2 + 3*4 = 6 + 12 = 18.

Front

What is the mistake in the expression: 5(2 + 3) = 5*2 + 3?

Back

The mistake is that the second term should also be multiplied: 5(2 + 3) = 5*2 + 5*3.

Front

If a = 2, what is the value of 4(a + 3)?

Back

4(a + 3) = 4(2 + 3) = 4*5 = 20.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as simple as possible.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Apply the distributive property: 7(x + 2)

Back

7(x + 2) = 7x + 14.

Front

What is the area of a rectangle with length (x + 2) and width (3)?

Back

Area = length × width = (x + 2) × 3 = 3x + 6.