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 -8(6x + 3), you would multiply -8 by both 6x and 3.

Front

How do you combine like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power. For example, in 5a - 3a, you combine the coefficients 5 and -3 to get 2a.

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, while 3x and 4y are not.

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 parentheses.

Front

How do you simplify the expression 6 + 2(7x - 3)?

Back

First, distribute 2 to both terms inside the parentheses: 6 + 14x - 6. Then combine like terms: 14x.

Front

What is the result of simplifying -2x - 4(4x - 8)?

Back

Distributing -4 gives -2x - 16x + 32. Combining like terms results in -18x + 32.

Front

What is the first step in simplifying x + 4 - 7(x - 5)?

Back

First, distribute -7 to both terms inside the parentheses: x + 4 - 7x + 35.

Front

What is the final simplified form of x + 4 - 7(x - 5)?

Back

After distributing and combining like terms, the final result is -6x + 39.

Front

What is the importance of parentheses in algebraic expressions?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

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 necessary operations.