Question

Explain the difference between evaluating an expression and solving an equation. Use examples to support your explanation.

Answer 1

Evaluating an expression

Unlike an equation, expression does not have an equal sign.

Example

(x² - 4²) / (x + 2)

So, by evaluating an expression it means to simplify the expression. Let's take a look at the example again

(x² - 4²)

= (x + 2)(x - 2) / (x + 2)

= (x - 2)

Solving an equation

Solving an equation involves finding an unknown value given in the equation. It contains an equal to sign (=) so, it result in a solution.

Example

(x² - 4²) / (x + 2) = 0

(x + 2)(x - 2) / (x + 2) = 0

(x - 2) = 0

x = 2