To calculate Sarah's score, we can break down the problem as follows:

Total number of questions on the test:

Each question is worth 2 points, and the total points available are 50. Therefore, the number of questions on the test is: $\frac{50}{2} = 25 \text{ questions}$

Sarah's score if she got 10 questions wrong:

• If Sarah got 10 questions wrong, she answered $25 - 10 = 15$ questions correctly.
• Since each correct answer is worth 2 points, her score will be: $15 \times 2 = 30 \text{ points}$

Thus, Sarah's score with 10 questions wrong is 30 points.

General case (if Sarah got $xx$ questions wrong):

• If Sarah got $xx$ questions wrong, the number of correct answers would be $25 - xx$.
• Her score would then be: $(25 - xx) \times 2 = 50 - 2xx \text{ points}$

Thus, Sarah's score with $xx$ questions wrong is $50 - 2xx$ points.

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Would you like more details on how I arrived at the solution? Feel free to ask questions if anything is unclear!

Here are some related questions:

1. How many correct answers would Sarah need to pass the test?
2. What percentage score did Sarah get if she got 10 questions wrong?
3. How many questions would she need to get wrong to score below 40 points?
4. How many questions must Sarah answer correctly to get at least 80%?
5. If Sarah answered $yy$ questions correctly, what would her score be?

Tip: When working with test scores, understanding the relationship between points per question and total points is key to quick calculations!