Math7 5.1: Combining Like Terms and Distributive Property

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 or difference.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

Simplify the expression: 4(x - 6). What is the result?

Back

4x - 24.

Front

What is the result of simplifying 11y + 3(2y - 4)?

Back

17y - 12.

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 applying the distributive property.

Front

How do you simplify the expression -10z + 15 - 3z + 2?

Back

-13z + 17.

Front

What is the result of -6(3x - 9y - 10)?

Back

-18x + 54y + 60.

Front

What is the simplified form of 3(9 + 2d)?

Back

27 + 6d.

Front

What are like terms?

Back

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

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.