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 variables involved.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

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 each term inside a parenthesis.

Front

How do you combine like terms?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the expression for 'twice the quantity of 11 less than k'?

Back

2(k - 11) is the expression for 'twice the quantity of 11 less than k'.

Front

What is the equivalent expression for 6m - m?

Back

5m is the equivalent expression for 6m - m.

Front

How do you factor the expression 36x + 24?

Back

You can factor it as 12(3x + 2) or 4(9x + 6).

Front

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

Back

The result is 29y.

Front

What is the first step in simplifying the expression 2(r + y)?

Back

The first step is to apply the distributive property: 2r + 2y.

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 values of their variables.