Factoring, Distributing & Combining Like Terms

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions or numbers.

Front

What does it mean to distribute in algebra?

Back

Distributing refers to the process of multiplying a single term by each term inside a set of parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

How do you factor the expression 35y + 21?

Back

You can factor it as 7(5y + 3).

Front

What is the result of distributing -4 in the expression -4(k - 7)?

Back

The result is -4k + 28.

Front

Expand the expression 5(x + 2). What is the result?

Back

The result is 5x + 10.

Front

Are the expressions 9(y - 2) and 18 - 9y equivalent?

Back

No, they are not equivalent.

Front

What is the result of distributing -3 in the expression -3(2c - 5)?

Back

The result is -6c + 15.

Front

What is the first step in factoring an expression?

Back

The first step is to identify the greatest common factor (GCF) of the terms.

Front

How do you combine like terms in the expression 3x + 5x - 2?

Back

You combine like terms to get 8x - 2.