9. Combine Like Terms and Distribute Practice

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This simplifies the expression.

Front

How do you distribute a term across a parenthesis?

Back

To distribute a term, multiply it by each term inside the parentheses. For example, a(b + c) = ab + ac.

Front

What is the result of simplifying the expression -7x + 5(1 - 8x)?

Back

The result is 5 - 47x.

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

What is the first step in simplifying an expression with parentheses?

Back

The first step is to distribute any coefficients outside the parentheses to each term inside.

Front

What is the difference between combining like terms and distributing?

Back

Combining like terms simplifies an expression by merging similar terms, while distributing involves multiplying a term across multiple terms in parentheses.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. Only like terms can be combined.

Front

What is the simplified form of the expression 2x + 3x - 5?

Back

The simplified form is 5x - 5.

Front

How do you identify like terms in an expression?

Back

Like terms can be identified by looking for terms that have the same variable and exponent.

Front

What is the result of distributing 4 across the expression (x + 2)?

Back

The result is 4x + 8.