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4

If these are exercises from a published textbook, then it's probably self-deluding to imagine that the students don't have access to them already. Chegg et al. probably already have the solutions available to anyone willing to pay the monthly membership fee. Your lead instructor has already chosen a philosophy and a set of rules. They've made the homework ...

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It costs $5/month (for educators) to use Wolfram Alpha in its practice worksheets model. It will generate a lot of problems for you, but I'm not 100% sure it gives you the granularity you want. I really like it. https://www.wolframalpha.com/pro-for-educators/ Also, Math.com has a worksheet generator, which allows some specification of fraction use and ... 2 I don't think the two "answers" you consider ("on the one hand", "on the other hand" ...) require an "either/or" answer. I think a "happy medium" exists, in which you do not offer pdf solutions to all exercises at each exercise session. What you describe during "in class exercise sessions" is spot on, in my experience. Allowing them to ask questions, ... 2 Typical constrained optimization (useful to "get it") is asking for the rectangle of largest area that can be enclosed in a fence of given length. Sure, it can be reduced to one-dimensional, but leave that option out. Or ask for the largest volume box with given surface area. 1 Something like this? $$a. \left({a+b \over a-b} + {a-b \over a+b}\right) \div \left({a^2 \over a^2-b^2} + {1 \over {a^2 \over b^2}-1}\right)$$ $$b. \left({x^2y - xy^2 \over x-y} + xy\right) \times \left({y \over x} + {x \over y}\right)$$ $$c. \left({n \over m-n} + {m \over {m + n}} \right) \times \left({m^2 \over n^2} + {n^2 \over m^2} - 2\right)$$$\$d. \...

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