Combining like-terms and distributive property

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

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 each term inside a parentheses.

Front

Simplify: 7v + 2 + 12 + 2v

Back

9v + 14

Front

Distribute and then Combine Like Terms: 2(4x + 7) + 3x

Back

11x + 14

Front

Which expression is NOT equivalent to the others? 4(2x + 5), 2x + 20, 4(2x) + 4(5), 8x + 20

Back

2x + 20

Front

Simplify: 5(2 - 7n)

Back

10 - 35n

Front

Distribute and then Combine Like Terms: 3(4x + 2) + 5x

Back

17x + 2

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent, simplifying the expression.

Front

If you have the expression 3x + 4x, what is the simplified form?

Back

7x

Front

What is the first step in using the distributive property?

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.