Combining Like Terms and Distributive Property

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, simplifying the expression.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you simplify the expression 7m - 5(-4m - 10)?

Back

First, apply the distributive property: 7m + 20m + 50 = 27m + 50.

Front

What is the result of simplifying the expression -(7 - k)?

Back

The result is k - 7, as you distribute the negative sign.

Front

How do you simplify -b - 6b?

Back

Combine like terms: -b - 6b = -7b.

Front

What is the simplified form of 3m - 2m?

Back

The simplified form is m, as you combine like terms.

Front

What is the result of applying the distributive property to 5(1 + 9b)?

Back

The result is 5 + 45b, as you distribute 5 to both terms inside the parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable and exponent, allowing them to be combined.

Front

How do you identify like terms in an expression?

Back

Look for terms that have the same variable and exponent; for example, 3x and 5x are like terms.

Front

What is the first step in simplifying an expression using the distributive property?

Back

Identify the term outside the parentheses and multiply it by each term inside the parentheses.