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 5y 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: 2(c + 6) + 5c

Back

7c + 6

Front

Simplify: 3x - 5x

Back

-2x

Front

Simplify: 2x + 7(x - 5) - 4

Back

9x - 39

Front

Combine like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Simplify: 19 - (3 - 5b)

Back

16 + 5b

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

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

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.

Front

If you have the expression 4x + 3y - 2x + 5y, what is the simplified form?

Back

2x + 8y