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 two or more terms inside a set of parentheses.

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 a coefficient in an algebraic expression?

Back

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

Front

What is the first step in simplifying the expression 3x + 5 + 7x + 2?

Back

The first step is to combine like terms: 3x and 7x.

Front

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

Back

21a + 28b.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors.

Front

What is the equivalent expression for 2(r + y)?

Back

2r + 2y.

Front

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

Back

2(k - 11).