Combining like terms and the 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

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, -6k + 7k = (7 - 6)k = 1k = k.

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: -6c + 2c - 4 + 8

Back

-4c + 4

Front

Simplify: 3(2c - 5)

Back

6c - 15

Front

What is the result of combining -3y + 5y?

Back

2y

Front

What is the result of combining 4x^2 + 3x^2?

Back

7x^2

Front

If you have the expression (b + 8)5, what is the simplified form?

Back

5b + 40

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to make the expression as simple as possible.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7.