Distributive Property and Combine 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?

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: 14 - 3(4n - 1). What is the first step?

Back

The first step is to apply the Distributive Property: 14 - 3*4n + 3*1.

Front

What is the result of simplifying -5 + 5(x + 4)?

Back

The result is 5x + 20, after applying the Distributive Property.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and applying the Distributive Property.

Front

What is the simplified form of 5(2y - 4) + 2(y + 9)?

Back

The simplified form is 12y - 2.

Front

How do you handle negative signs when applying the Distributive Property?

Back

When distributing a negative sign, multiply each term inside the parentheses by -1.

Front

What is the simplified result of -8n - 8(-4 - 2n)?

Back

The simplified result is 8n + 32.

Front

What is the final result of simplifying 4(6n + 9) - 10n?

Back

The final result is 14n + 36.

Front

Why is it important to simplify expressions in algebra?

Back

Simplifying expressions makes it easier to solve equations and understand relationships between variables.