distributive property and combining like terms

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

Simplify: 5(9x - 2) - 2x

Back

43x - 10

Front

Simplify: 7(5n - 8) + 6(4 + 6n)

Back

71n - 32

Front

Simplify: 5(-3p + 7) + 5(p - 1)

Back

-10p + 30

Front

Simplify: 3x + 4(2x + 9)

Back

11x + 36

Front

What does it mean to distribute in mathematics?

Back

To distribute means to multiply each term inside the parentheses by the term outside the parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

If you have 2x + 3x, what is the result?

Back

5x, because you combine the coefficients 2 and 3.

Front

What is the first step in using the distributive property?

Back

Multiply the term outside the parentheses by each term inside the parentheses.