U5L1 Combining Like Terms

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 are alike. For example, 3x + 5x = (3 + 5)x = 8x.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing any operations.

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: 2(3x + 4)

Back

6x + 8

Front

Distribute and simplify: 4(2x - 5) + 3x

Back

8x - 20 + 3x = 11x - 20

Front

What is the result of combining 5y - 2y + 3y?

Back

6y

Front

Simplify: 7a + 2 - 3a + 5

Back

4a + 7

Front

Distribute and simplify: -2(3x + 4) + 5

Back

-6x - 8 + 5 = -6x - 3

Front

Combine like terms: 4x + 3y - 2x + 5y

Back

2x + 8y