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, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify the expression: 3a^2 + 6a + 5a^2.

Back

8a^2 + 6a.

Front

What is the result of applying the distributive property to 4(x + 6)?

Back

4x + 24.

Front

How do you simplify the expression: 3x + 5 + 7x + 2?

Back

Combine like terms to get 10x + 7.

Front

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

Back

12x - 18.

Front

How do you simplify the expression: 15x + 10 - 6x - 1?

Back

Combine like terms to get 9x + 9.

Front

What does it mean for two expressions to be equivalent?

Back

It means they yield the same result for any value of the variable(s) when evaluated.

Front

What is a coefficient in an algebraic expression?

Back

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