Combing Like Terms (distributive properties)

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 two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

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

Front

Can the terms 5w and 5w^2 be combined?

Back

No, they cannot be combined because they are not like terms.

Front

What is the result of distributing -1 in the expression -(3b - 10)?

Back

The result is -3b + 10.

Front

What is the simplified form of 2(9x - 2) + 2?

Back

The simplified form is 18x - 2.

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply a term by each term inside a set of parentheses.

Front

What is the result of combining the like terms 4a + 3a?

Back

The result is 7a.

Front

What is the simplified form of -a + 5(-8a - 9)?

Back

The simplified form is -41a - 45.

Front

What is an example of the distributive property?

Back

An example is 6(x - 2) = 6x - 12.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7.