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

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 are 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 the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

Simplify the expression: 2(x + 3).

Back

2x + 6.

Front

What is the result of combining like terms in the expression: 4y + 2y?

Back

6y.

Front

What is the expression equivalent to: 5(2x - 3)?

Back

10x - 15.

Front

What is the value of the expression: 3a + 4a?

Back

7a.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

Front

What is the equivalent expression for: z + z + z?

Back

3z.