Combining Like Terms with Distributive Property

Front

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

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents a number in an expression or equation.

Front

Write an expression for the number of baseball cards Perry has if he has 17 fewer than Pete, who has b cards.

Back

b - 17

Front

What is the distributive property?

Back

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

Front

Simplify the expression: 2(4 + 9w)

Back

8 + 18w

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

Collect like terms: 4y + 8d - 2y + 3d

Back

11d + 2y

Front

What is the result of simplifying 14 - 3(4n - 1)?

Back

-12n + 17

Front

If x = 5, what is the value of the expression 3x + 2?

Back

17

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.