Combining Like Terms w/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: 11a - 5c + 3a

Back

14a - 5c

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Simplify: 6a - 2(3a + 4)

Back

-8

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change, represented by a number without a variable.

Front

In the expression 3x + 4, what is the constant?

Back

4

Front

Simplify: 5x^2 + 7x^2 - 4

Back

12x^2 - 4

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as the '3' in 3x.

Front

Simplify: -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 distribute the multiplication across the terms inside the parentheses.