No, there is no reason why you should fail in this case.
After my opinion it is not true: if you are good at mathematics you must be good at chemistry and physics.
Not true. Chemistry is easier than Mathematics.
Not you will but you can.
No.
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.
Mathematics is an important part of all the other sciences such as chemistry and thermodynamics; mathematics has rightly been called the language of science. So no, being good at math does not mean that you will fail chemistry, quite the opposite.
No, it is not true. It is false. In order to PASS physics, chemistry, and engineering, you must be pretty good at mathematics.
no
Engineering(except software and electrical) Accounting Economics Mathematics Physics Chemistry
No, you will fail those subject that you do not study for. Passing or failing is in your hands not "fate".
No; it is false.
You'll certainly not fail BECAUSE you are good at algebra - you need to know algebra well, to understand calculus. So, it is not guaranteed that you will succeed, but if you are good at algebra, your chances are certainly a lot better than if your are not good at algebra.