Solving Algebraic Word Problems
Here are some steps that will help you organize the process of translating from words to mathematical expressions that you can solve. You may not be able to visualize all the details, but you should gain a mental picture of what is generally being discussed. Thus, figure out what you are trying to find and write it down. If the problem involves a moving automobile, for instance, you don't need to draw a professional rendition when a box or something similar (even marked "car" if necessary) will do. Write down this assignment for reference as you solve the problem (for instance, " = the velocity of the car"). You've probably gone astray somewhere along the line.
Check to see if the number is reasonable (for example, your average automobile can't be expected to go 1,000,000 miles per hour! Before we look at a few example problems, we need to first consider the use of units and unit analysis.
Units are simply identifiers that describe what a number is quantifying.
For instance, we can talk about 1 banana, 1 meter, 1 liter, 1 mile per hour, 1 ton, or a limitless variety of other things.
And they are even, so they could be 2 and 4, or 4 and 6, etc.
We will call the smaller integer n, and so the larger integer must be n 2 And we are told the product (what we get after multiplying) is 168, so we know: n(n 2) = 168 We are being asked for the integers Solve: That is a Quadratic Equation, and there are many ways to solve it.
So, where can you find quality word problems WITH a detailed solution? You are saving per week and your sister is saving per week.
As a first word problem, this one may seem a bit intimidating; don't let it discourage you, though.
You may be surprised at how far you can get by approaching the problem systematically.
It could also be a time when you are trying to figure out if you were over charged for a bill.
This is important stuff - when it comes time to spend YOUR money - you are going to want to make sure that you are getting paid enough and not spending more than you have to. let's put all this newly learned knowledge to work.