Distributive Property and Combing 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

What is the result of applying the Distributive Property to 3(9 + 2d)?

Back

The result is 27 + 6d.

Front

What does it mean to simplify an expression?

Back

Simplifying 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 4(8x + 1) - 6(1 - 8x)?

Back

The simplified form is 80x - 2.

Front

What is the first step in simplifying -n - 5(-6 - 7n)?

Back

The first step is to distribute -5 to both terms inside the parentheses, resulting in -n + 30 + 35n.

Front

What is the final simplified form of -8n - 7(n + 5)?

Back

The final simplified form is -15n - 35.

Front

How do you handle negative signs when simplifying expressions?

Back

When simplifying, distribute negative signs carefully to ensure that all terms are correctly adjusted, such as changing signs of terms inside parentheses.

Front

What is the simplified result of -3(x - 4) + 3(a - 6)?

Back

The simplified result is -3x + 3a - 6.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as the 3 in 3x.