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Algebra is for solving equations. It's the entire purpose of Algebra. You'll use Algebra in Biology, Chemistry, and Finance. Study hard and it will make your other math & science classes easier.
No, the two of them used algebra and probability to model population biology, not natural selection, however similar the two may be.
foundations algebra is probably pre algebra, which is before algebra, so no.
A solid understanding of mathematical principles is needed for drug dosage. Nurses study chemistry, biology and biochemistry, so they have to be able understand things like rates of chemical reactions. Behavioural science involves statistics. All of these things need mathematics to at least the level of algebra.
algebra 1a is the first part of algebra 1 and algebra 1b is the second part. :)