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

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of 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 the multiplication over addition.

Front

What is the result of combining 3a^2 + 5a^2?

Back

The result is 8a^2.

Front

What is the result of simplifying 12(5 - 4x)?

Back

The result is 60 - 48x.

Front

What is the result of simplifying 6(2x - 3)?

Back

The result is 12x - 18.

Front

What is the result of simplifying 6(3y - 2y + 7)?

Back

The result is 6y + 42.

Front

What is the result of simplifying z + z^2 + 1?

Back

The result is 1 + z + z^2.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they yield the same result when evaluated for the same value of the variable.

Front

What is a coefficient in an algebraic expression?

Back

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