Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is a mathematical expression that has the same value as another expression for all values of the variable(s) involved.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform operations to make the expression as concise as possible.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a number by each term inside the parentheses.

Front

What is a mathematical expression?

Back

A mathematical expression is a combination of numbers, variables, and operators (like +, -, *, /) without an equal sign.

Front

What is a mathematical equation?

Back

A mathematical equation is a statement that two expressions are equal, containing an equal sign (=).

Front

How do you identify like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor is the largest factor that two or more numbers share.

Front

How do you use the distributive property to simplify -3(2x - 4)?

Back

Using the distributive property: -3(2x - 4) = -6x + 12.

Front

What is the result of combining like terms in the expression 4x + 3 - 5 + 2x?

Back

Combining like terms gives you 6x - 2.