each question on the test is worth 5 points. write an equation that represents the score out of 100 when x is the number of questions are missed

1 answer

If each question on the test is worth 5 points and there are a total of 100 points possible, that means there are 20 questions on the test (since \(100 \div 5 = 20\)).

Let \(x\) be the number of questions missed. If \(x\) questions are missed, then the number of questions answered correctly is \(20 - x\).

The score can be calculated by multiplying the number of questions answered correctly by the points per question:

\[ \text{Score} = (20 - x) \times 5 \]

To express the score out of 100, we can simplify this:

\[ \text{Score} = 100 - 5x \]

So, the equation that represents the score out of 100 when \(x\) is the number of questions missed is:

\[ \text{Score} = 100 - 5x \]