Distributive Property and Combining Like Terms

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

Simplify the expression: 2x + 3x.

Back

5x.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Simplify: 4a + 5b - 2a + 3b.

Back

2a + 8b.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

Apply the Distributive Property: 3(x + 4).

Back

3x + 12.

Front

What is the result of combining the like terms: 6m + 4n - 2m + 3n?

Back

4m + 7n.

Front

Simplify the expression: 5(2x + 3) - 4.

Back

10x + 15 - 4 = 10x + 11.

Front

What is the first step in simplifying the expression 2(x + 3) + 4?

Back

Distribute the 2 to both terms inside the parentheses: 2x + 6 + 4.