Distributing and Combining Like Terms

Front

What does it mean to distribute in algebra?

Back

To distribute means to multiply a term by each term inside a parenthesis. For example, in -4(k - 7), you multiply -4 by both k and -7.

Front

Simplify the expression: -4(k - 7)

Back

-4k + 28

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.

Front

Simplify the expression: 7 + 3(1 - 2x)

Back

10 - 6x

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of like terms to simplify an expression.

Front

Simplify the expression: 8a + 6 + 1 + 8a - 3b + b

Back

16a - 2b + 7

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 operations.

Front

Simplify the expression: x + 4 - 7(x - 5)

Back

-6x + 39

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 parenthesis.

Front

Simplify the expression: 2(4 + 9w)

Back

8 + 18w