Combining Like Terms & 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 the multiplication over addition.

Front

Simplify the expression: (b + 8)5

Back

5b + 40

Front

Simplify the expression: 4(-x - 6)

Back

-4x - 24

Front

What is the result of combining 3x + 2x?

Back

5x

Front

Simplify the expression: -10x - 9x + 1

Back

-19x + 1

Front

Simplify: 3(9 + 2d) + 4d

Back

27 + 10d

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

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.

Front

What is the first step in applying the distributive property?

Back

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