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It isn't; the algebra 1 and 2 that you get taught in middle or high school is elementary algebra. When (if you want to) you get into more advanced algebra, you can learn linear algebra (matrix algebra) and abstract algebra (which involves sets, operations on sets, groups, and many more concepts), and probably several more types of algebra I've never heard of.
Typically in America algebra is learned in seventh or eighth grade. However, honors students can learn algebra in sixth or seventh grade or even earlier! Nowadays many places offer algebra classes to take outside school or even algebra camps!
3x2+4x-6=0 has how many solutions
This is a YES! You will need to take algebra 2 as a high school course which will eligible you to qualify into state colleges. A-G requirements are also what many college look at and decides. For example 3 years of math(alg1,geometry,alg2) will make you be eligible or states as for University is 4 years of math. But city colleges, you may not need alg2 but your math assessment in high school. Colleges also will have placement test that will test your math skills and rank you amongst how your score is as well.