Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

What does the Distributive Property state?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute the multiplication over addition.

Front

What is the result of applying the Distributive Property to 4(x + 6)?

Back

4x + 24.

Front

What is the result of applying the Distributive Property to 5(x + 2)?

Back

5x + 10.

Front

How do you combine like terms in the expression 6y + 22y + y?

Back

Combine the coefficients: 6y + 22y + 1y = 29y.

Front

What are coefficients in an expression?

Back

Coefficients are the numerical factors in front of the variables in an expression.

Front

Identify the coefficients in the expression 4r + 8u.

Back

The coefficients are 4 and 8.

Front

What is the equivalent expression for 6(2x - 3)?

Back

12x - 18.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both.