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

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

Back

8a^2 + 6a.

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

Simplify the expression: 12(5 - 4x).

Back

60 - 48x.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Simplify the expression: 15x + 10 - 6x - 1.

Back

9x + 9.

Front

What is the result of applying the distributive property to 6(3y - 2y + 7)?

Back

6y + 42.

Front

Simplify the expression: 6(2x - 3).

Back

12x - 18.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.