https://file.aiquickdraw.com/mathbot/file/17267607604487us3wz00.pdf

It seems like the file contains multiple choice questions for a standardized test. Here’s an example from the document:

1. *If \(x + y = 7\) and \(xy = 12\), what is \((x-1)(y-1)\)?*

To solve this, expand \((x-1)(y-1)\):

\[
(x-1)(y-1) = xy - (x + y) + 1
\]

Substitute \(xy = 12\) and \(x + y = 7\):

\[
(x-1)(y-1) = 12 - 7 + 1 = 6
\]

So, the answer is **6**.

Would you like further explanation or details on any other questions?

Here are 5 related questions you can explore:
1. What if \(xy = 15\) instead of 12?
2. How do we solve for \(x\) and \(y\) separately from these equations?
3. What is the general formula for expanding \((x-a)(y-b)\)?
4. How would you solve this with different values for \(x + y\) and \(xy\)?
5. Could you use a graphical method to solve for \(x\) and \(y\)?

**Tip:** Always substitute given values step by step to avoid calculation errors.

If x + y = 7 and xy = 12, what is (x - 1)(y - 1)?

Learn how to solve for (x - 1)(y - 1) when x + y = 7 and xy = 12, using algebraic factoring and substitution methods. This detailed step-by-step solution covers key algebraic concepts for students in Grades 8-10.

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