Question

identify the following as an expression or an equation (4 points)

expression equation
$2x^3 - 4x^2$ ○ ○
$x = 3x^2 - 4$ ○ ○
$5^x = 25$ ○ ○
$3x + 2\pi$ ○ ○

Explanation:

Step1: Recall definitions

An expression is a combination of numbers, variables, and operations (no equal sign). An equation has an equal sign, showing two expressions are equal.

Step2: Analyze \(2x^3 - 4x^2\)

No equal sign, so it's an expression.

Step3: Analyze \(x = 3x^2 - 4\)

Has an equal sign, so it's an equation.

Step4: Analyze \(5^x = 25\)

Has an equal sign, so it's an equation.

Step5: Analyze \(3x + 2\pi\)

No equal sign, so it's an expression.

Answer:

• \(2x^3 - 4x^2\): Expression (select the circle under Expression)
• \(x = 3x^2 - 4\): Equation (select the circle under Equation)
• \(5^x = 25\): Equation (select the circle under Equation)
• \(3x + 2\pi\): Expression (select the circle under Expression)