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 or difference.

Front

How do you apply the Distributive Property to 3(2 + 4)?

Back

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

Front

Which expression is equivalent to 5(x + 2)?

Back

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

Front

What is the result of applying the Distributive Property to 4(3x + 5)?

Back

4(3x + 5) = 12x + 20.

Front

If you have 2(3 + 5x), what is the simplified expression?

Back

2(3 + 5x) = 6 + 10x.

Front

Fill in the blank: 6(2x + __) = 12x + 18.

Back

3.

Front

Which of the following is not equivalent to 8x + 4? Options: 4(2x + 1), 2(4x + 2), 8(x + 1), 8(x + 2)

Back

8(x + 2).

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.

Front

How can you check if 10x - 8 is equivalent to 2(5x - 4)?

Back

Expand 2(5x - 4) to get 10x - 8, which shows they are equivalent.

Front

What is the simplified form of 7(2 + 3x)?

Back

7(2 + 3x) = 14 + 21x.