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 does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of like terms to simplify an expression. For example, 3x + 5x = 8x.

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: 6x + 12x + 3y

Back

18x + 3y

Front

Simplify: 5(a + 6)

Back

5a + 30

Front

Simplify: -4(8r + 3)

Back

-32r - 12

Front

How do you apply the Distributive Property to 3(x + 4)?

Back

3(x + 4) = 3x + 12.

Front

What is the first step in combining like terms?

Back

Identify the like terms in the expression.

Front

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

Back

5x + 4y.

Front

If you have the expression 7a + 2b - 3a, how do you simplify it?

Back

Combine like terms to get 4a + 2b.