Balancing Equations Worksheet 1 was used for a long time before the invention of computers. Now, almost all mathematics teachers include this worksheet in their calculus curriculum, not only in higher-level math but in calculus courses for younger students as well. In this worksheet, we will discuss some of the basic features that you will encounter when you are working with this worksheet.
At first glance, this worksheet is fairly straightforward. You are given a set of the equation, and you want to figure out which of those equations is most appropriate for you to solve for. You could use the direct method, which means that you need to find the solutions of the equation one by one or you could use the circular method, which means that you solve for the sum of the first few solutions and then find the solution to the equation. It doesn’t matter which way you choose to go. What matters is that you have a method that can be applied to many equations, so that your work will be more effective.
Figure 1, on the other hand, allows you to analyze each equation. This is where you are going to apply the methods and equations that you learned from the worksheet. You might need to work with a quadratic to figure out the solutions of a different quadratic. Or, you might need to apply a quadratic transformation to solve an infinite-dimensional problem.
Figure 1 also allows you to eliminate some unknowns that you may have left in your head. For example, if you are working with a first-order problem, you may leave out the constant term and the unknown terms that are included in that equation. By removing these two unknowns, you will be able to get rid of some factors in your equation. You could either use the direct elimination method or the indirect elimination method. But, both methods will allow you to eliminate the unknown.
Other factors are included in equations that might cause the equation to be too complex to solve. While it might be possible to get rid of these factors by using the direct elimination method, that won’t work for all problems. Using the circle method, for example, might be better for those equations that are only slightly more complex than those that the direct elimination method can handle.
Figure 1 is a great tool because it allows you to apply methods and equations to different problems. In a classroom, you can use this worksheet to make sure that you do not waste time and energy on solving a problem that does not apply to the ones that you are taking.
Figure 1 has helped many students. As you can see, using this worksheet is not difficult. The results will be useful to you. So, do not hesitate to get a copy of this worksheet and try it out.