# Solving Word Problems In Algebra

Well, it's going to be w plus w plus 2w plus 2w. The perimeter of this garden is going to be equal to w plus 2w plus w plus 2w, which is equal to what?

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Before you start solving word problems in algebra, you should first already know about real numbers, how to manipulate algebraic expressions, and how to solve math problems involving linear equations and inequalities.

We will focus on application of these concepts through word problems.

We know there are seven days in the week, so: d e = 7 And she trains 27 hours in a week, with d 5 hour days and e 3 hour days: 5d 3e = 27 We are being asked for how many days she trains for 5 hours: d Solve: The number of "5 hour" days is 3 Check: She trains for 5 hours on 3 days a week, so she must train for 3 hours a day on the other 4 days of the week.

3 × 5 hours = 15 hours, plus 4 × 3 hours = 12 hours gives a total of 27 hours So Joel’s normal rate of pay is \$12 per hour Check Joel’s normal rate of pay is \$12 per hour, so his overtime rate is 1¼ × \$12 per hour = \$15 per hour.

So his normal pay of 40 × \$12 = \$480, plus his overtime pay of 12 × \$15 = \$180 gives us a total of \$660 There are 12 girls!

## Solving Word Problems In Algebra

And 3b = 4g, so b = 4g/3 = 4 × 12 / 3 = 16, so there are 16 boys So there are now 12 girls and 16 boys in the class, making 28 students altogether.Let's look at a couple quick examples (note that although these examples use plural and singular units for ease of reading, whether a unit is written in its plural or singular form has no bearing on the meaning or the math): This second example is actually a case of identity, because 12 inches = 1 foot. We can thus see how the presence of units has an effect on the math, but the same general principles that we have studied still hold. Let's multiply by factors with corresponding units that convert from years to seconds as follows.(Again, note that we are actually multiplying in each case by 1 because of the relationship of the units.) Thus, 1 year = 525,600 minutes, or (alternatively) there are 525,600 minutes in a year.So let's draw this garden here, Tina's garden. So if this is the width, then this is also going to be the width. And they tell us that the length of the garden is twice the width. We know that we can find the distance traveled by multiplying the speed and the time traveled at that speed (for instance, if we travel 2 hours at 30 miles per hour, we have gone 60 miles).In addition, we know that Bill travels a third of the time ( The Celsius (C) and Fahrenheit (F) temperature scales are related by a linear function.This problem illustrates the process of unit conversion; a year is the same as 525,600 minutes even though 1 ≠ 525,600.Bill takes a trip in which he drives a third of the time at 30 miles per hour, a third of the time at 50 miles per hour, and a third of the time at 70 miles per hour.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.Units act in many ways like multiplicative constants: they multiply and divide like any other factor, and they can cancel each other out when they are the same.

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