Combining Like Terms and 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 the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify: 5(-8n + 5) - 4n

Back

-44n + 25

Front

Simplify: 5a + 6 - 7a - 9

Back

-2a - 3

Front

Simplify: -10x + 15 - 3x + 2

Back

-13x + 17

Front

Simplify: -8n - 7(n + 5)

Back

-15n - 35

Front

Simplify: 4 - (2x + 3) + x

Back

-x + 1

Front

What is a 'term' in algebra?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

What are 'like terms'?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you apply the Distributive Property to the expression 3(x + 4)?

Back

3(x + 4) = 3x + 12.