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 3a^2 + 6a + 5a^2?

Back

The result is 8a^2 + 6a after combining like terms.

Front

What is the equivalent expression for 4(x + 6)?

Back

The equivalent expression is 4x + 24 using the distributive property.

Front

What is the equivalent expression for 12(5 - 4x)?

Back

The equivalent expression is 60 - 48x using the distributive property.

Front

What is the equivalent expression for 7(3a + 4b)?

Back

The equivalent expression is 21a + 28b using the distributive property.

Front

What is the equivalent expression for 6(3y - 2y + 7)?

Back

The equivalent expression is 6y + 42 after simplifying the expression inside the parentheses.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating parentheses.

Front

What is a coefficient in an algebraic expression?

Back

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