Combining Like Terms & Distributive Property Flashcard

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

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms while keeping the variable part the same. For example, 7x + 6x = (7 + 6)x = 13x.

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 parenthesis.

Front

Simplify: 7x(2 - 5)

Back

-21x

Front

Simplify: -4x + 5x

Back

x

Front

Simplify: 3x(4 + 2)

Back

18x

Front

What is the result of 11a + 11a?

Back

22a

Front

What is the coefficient in the term 5x?

Back

The coefficient is 5, which is the number multiplying the variable x.

Front

What happens when you combine 2x and -3x?

Back

2x + (-3x) = -1x or -x.

Front

If you have 4y + 3y - 2y, what is the simplified form?

Back

4y + 3y - 2y = 5y.