Combining Like Terms and Distributive Property

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and -9x are like terms because they both contain the variable x.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

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 each term inside a parentheses.

Front

Simplify: 3x + 4x.

Back

7x.

Front

Simplify: 5y - 2y + 3y.

Back

6y.

Front

What is the result of combining the like terms in the expression: 2a + 3b - 4a + 5b?

Back

-2a + 8b.

Front

Use the Distributive Property to simplify: 4(2x + 3).

Back

8x + 12.

Front

Use the Distributive Property to simplify: -2(3y - 4).

Back

-6y + 8.

Front

Combine like terms: 7m - 3 + 2m + 5.

Back

9m + 2.

Front

What is the result of combining the like terms in the expression: 6x + 2 - 4x + 3?

Back

2x + 5.