Combine Like Terms with 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 a factor across a sum or difference.

Front

How do you identify the constant in an algebraic expression?

Back

The constant in an algebraic expression is the term that does not contain any variables, typically a standalone number.

Front

What is the result of combining the like terms 3x^2 and 4x^2?

Back

The result is 7x^2.

Front

How do you simplify the expression -8(5b + 2) - 7(b - 5)?

Back

First, apply the distributive property: -40b - 16 - 7b + 35. Then combine like terms to get -47b - 19.

Front

What is the first step in simplifying the expression -8 + 9(5 + 2x)?

Back

The first step is to apply the distributive property: -8 + 45 + 18x.

Front

What is the final simplified form of the expression -8 + 9(5 + 2x)?

Back

The final simplified form is 18x + 37.

Front

How do you combine the terms -3x and -2x?

Back

You add the coefficients: -3 + (-2) = -5, resulting in -5x.

Front

What is a coefficient in an algebraic expression?

Back

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

Front

What is the simplified form of the expression 4x^2 - 3x + 11 - 2x?

Back

The simplified form is 4x^2 - 5x + 11.