Distributive Law

Front

What is the Distributive Law in algebra?

Back

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

Front

How do you find the perimeter of a rectangle?

Back

The perimeter of a rectangle is found using the formula P = 2(length + width).

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

What is the result of applying the Distributive Law to 2m(m + n)?

Back

The result is 2m^2 + 2mn.

Front

How do you simplify the expression −(8 − 2p)?

Back

You distribute the negative sign to get -8 + 2p.

Front

What is the expanded form of 7(p + 10q)?

Back

The expanded form is 7p + 70q.

Front

What is the result of expanding 2(6p + 7q)?

Back

The result is 12p + 14q.

Front

How do you combine the results of 7(p + 10q) and 2(6p + 7q)?

Back

You add the expanded forms: 7p + 70q + 12p + 14q = 19p + 84q.

Front

What are like terms in an algebraic expression?

Back

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

Front

What is the first step in simplifying an algebraic expression?

Back

The first step is to identify and combine like terms.