Extra Practice-Combine Like Terms and Distributive Property

Front

What is the process of combining like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 5a + 2a + 2a, you combine the coefficients (5 + 2 + 2) to get 9a.

Front

What does the distributive property state?

Back

The distributive property states that a(b + c) = ab + ac. This means you can distribute the multiplication over addition.

Front

Simplify the expression: 5a + 3a.

Back

8a

Front

Simplify the expression: 4x + 2x - 3.

Back

6x - 3

Front

Simplify the expression: 7y + 2 - 3y + 5.

Back

4y + 7

Front

Simplify the expression: -2(x - 3).

Back

-2x + 6

Front

Simplify the expression: 3(2y + 4).

Back

6y + 12

Front

What is a like term?

Back

A like term is a term that has the same variable raised to the same power. For example, 3x and 5x are like terms, but 3x and 4y are not.

Front

What is the result of applying the distributive property to 2(3 + 4)?

Back

14

Front

Simplify the expression: 6(2x - 1) + 4x.

Back

16x - 6