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

Simplify the expression: 9x + 5(x + 3)

Back

14x + 15

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: 3(9 + 2d) + 4d

Back

27 + 10d

Front

What is a constant term?

Back

A constant term is a term in an expression that does not contain any variables.

Front

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

Back

-13x + 17

Front

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

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

If you have the expression 4(x + 2) + 3x, what is the simplified form?

Back

7x + 8

Front

What does it mean for terms to be 'like terms'?

Back

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

Front

Simplify: 2(3y + 4) - 5y

Back

y + 8