After my opinion it is not true: if you are good at mathematics you must be good at chemistry and physics.
This would be a matter of opinion. It depends on the person. Someone may be good at chemistry but not algebra while someone else might be good at algebra but not chemistry. Others may be good at both subjects or find both subjects hard.
It may or may not be. Although mathematics is the language of science, some people can be good at mathematics/algebra but just can't visualize molecules. If you are good at algebra though, there is a much greater chance that you will find chemistry easier than someone who is poor at algebra.
Not necessarily.
Absolutely! Chemistry is a very hard subject because it has to do with Math & you Algebra skills! Lots of equations & formulas to memorize and many fun but hard labs!
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.
It should be easier for you if you are good at algebra than it would be if you were not. A significant amount of working with chemistry is the manipulation of symbolic forms used to understand what can and cannot happen, which is about the same as algebra (however the rules for manipulating the symbols are very different). Of course there are many other difficult things to learn in chemistry that algebra won't help you with at all.
Yes, but as you get more into chemistry at higher levels, algebra will not be of any use to you(i.e organic chemistry, inorganic chemistry, etc).
No, there is no reason why you should fail in this case.
Being able to use algebra is essential to studying physics. Being good with algebra can make studying physics easier than it would be if you were not good with algebra. However, being good with algebra will not ensure that you will find studying physics to be easy.
Why yes you do, its not that hard really! good luck!
I was in Chemistry last year and we used something called stoichiometry, which uses both algebra and geometry.
Well, you may still have difficulties, but it won't be because of the math. Most of the math in chemistry is algebra, but there's a lot of conceptual stuff as well. So take good notes!