Identify Equivalent Expressions

Front

What is an equivalent expression?

Back

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

Front

How do you determine if two expressions are equivalent?

Back

You can determine if two expressions are equivalent by simplifying both expressions and checking if they result in the same value.

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

Give an example of equivalent expressions using the distributive property.

Back

3(x + 2) and 3x + 6 are equivalent expressions.

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 are like terms?

Back

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

Front

How can you combine like terms?

Back

You can combine like terms by adding or subtracting their coefficients.

Front

What is the value of the expression 2x + 3x when x = 4?

Back

The value is 20, because 2(4) + 3(4) = 8 + 12 = 20.

Front

What is the first step in solving an equation?

Back

The first step is to isolate the variable on one side of the equation.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an expression.