Generate 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 expression.

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 using the distributive property to simplify an expression.

Back

Example: 3(x + 4) = 3x + 12.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Provide an example of combining like terms.

Back

Example: 2x + 3x = 5x.

Front

What is the purpose of simplifying expressions?

Back

The purpose of simplifying expressions is to make them easier to work with and understand.

Front

What is a coefficient in an algebraic expression?

Back

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

Front

Identify the coefficient in the expression 5x + 3.

Back

The coefficient is 5.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, such as the number 3 in the expression 5x + 3.