Flashcard - Combine, Distribute, Factor

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 two or more terms inside a set of parentheses.

Front

Simplify the expression: (b + 8)5

Back

5b + 40

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

Factor the expression: 24c - 18

Back

6(4c - 3)

Front

Combine like terms: -9n + 12n + 7

Back

3n + 7

Front

Combine like terms: 5x + 3y + 5 + 4x + 3y + y + 8

Back

9x + 7y + 13

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the result of combining the like terms: 3x^2 + 4x^2 + 7?

Back

7x^2 + 7

Front

What is the first step in simplifying an expression?

Back

The first step is to identify and combine like terms.

Front

What is the difference between combining and factoring?

Back

Combining involves adding or subtracting like terms, while factoring involves breaking down an expression into its factors.