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Algebra 1 is a basic algebra course usually taken in freshman year (9th grade). Common Core guidelines dominate the curriculum. It is faster paced than middle school math courses. Algebra 2 is a more advanced algebra course usually taken in junior year (11th grade). Algebra 2 is paced even faster and builds on what you learn in A1 and geometry. Both deal with variables and the manipulation of numbers.
Notice that
and given that 10 is closer to 9, it's clear that
is probably closer in value to 3 then to 4. (The actual value is indeed about 3.162.)