Simplifying by Combining Like Terms & Distributing

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: 6 + 2(7x - 3)

Back

14x

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

Which expression is equivalent to 8(5f - 7) + 3f?

Back

43f - 56

Front

Simplify the expression: 3n + 5p + 2 + n

Back

4n + 5p + 2

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as 5 in 5x.

Front

Simplify the expression: 9(10 - 8x) + 4x

Back

90 - 68x

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

Simplify the expression: -3x + 11y - 4x

Back

-7x + 11y

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.