05 Jun 4 Algebra Tricks That Can Improve Your Grades
Algebra is one of the most integral parts of mathematics, there is almost no problem that you can solve without using a little bit of algebra. In almost every major field of the world, mathematics and algebra are integral, so if you don’t know the basics then you will find it very difficult to be successful in a lot of fields.
Luckily, there are many tricks that you can find that can make algebra considerably easier to solve.
Below you will find some of the best tricks that you can employ to make algebra easier to solve.
Change The Signs
Whenever you are solving algebraic problems, in many instances you will find more negative numbers in the equation. Working with negative numbers can become problematic and can affect your final result if you get it wrong. When working with negative numbers if you miss a single negative sign then it can change the whole answer – not something that you want to happen! To make your life easier, what you can do is multiply the whole equation by -1. By doing this, the negatives will become positives, making it far easier to solve.
When solving left and right-hand sides, many people get confused between the steps. This normally happens when people try to solve equation by adding and subtracting both the sides. What people do is that they place one equation under the other and then solve. This can get confusing and should absolutely be avoided. A simpler way to add or subtract two sides of an equation is to move constants to one side and variables to the other.
C & S
When working with cos and sin, things start to become complicated, especially when they are the exact same function, e.g. cos(8x) and sin(8x). These are simple function, but solutions can become a lot tougher when the functions are complicated by other variables. To save yourself the extra work just replace cos with C and sin with S. With this technique, you will not have to write the whole functions, which will save time and reduce the chances of error.
Multiply & Divide
This trick comes in handy, especially when you need to multiply and divide the terms on both sides of the equation. According to this trick you just need to imagine that there is big X between the equal sign. The terms on either side of the equation can only move along one of the lines of the X; this makes things a lot easier on many occasions. So essentially you have to use the X as a guide line.
These are four of the best tricks that can help you solve algebraic expressions easily
There are many people who avoid these tricks and make easy things complicated for no reason. So, the next time you see an algebraic expression or equation just remember these neat tricks!