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 a factor across a sum.

Front

What is the result of combining the expression 6y + 22y + y?

Back

The result is 29y.

Front

How do you apply the distributive property to 5(2f + 4)?

Back

You multiply 5 by each term inside the parentheses: 5 * 2f + 5 * 4 = 10f + 20.

Front

What is the equivalent expression for 36x + 24?

Back

The equivalent expression is 2(18x + 12).

Front

How do you express 'twice the quantity of 11 less than k'?

Back

The expression is 2(k - 11).

Front

What is the equivalent expression for 6m - m?

Back

The equivalent expression is 5m.

Front

What does it mean for two expressions to be equivalent?

Back

It means 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 that multiplies a variable in an expression.