Distribute and Combine Like Terms

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term by each term inside a set of parentheses. For example, in 2(3 + 4), you would calculate 2*3 + 2*4.

Front

What is the result of distributing 6(3 - 2x)?

Back

18 - 12x.

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, you add or subtract the coefficients of the terms that are alike. 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 multiple terms inside parentheses.

Front

Simplify the expression: 4(2x + 5).

Back

8x + 20.

Front

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

Back

5x.

Front

What does it mean to simplify an expression?

Back

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

Front

What is the result of distributing -2(3x + 4)?

Back

-6x - 8.

Front

What is the first step in simplifying the expression 5(2x + 3) + 3x?

Back

Distribute 5 to both terms inside the parentheses: 10x + 15 + 3x.