# Solving Word Problems Involving Linear Equations

Note as well that at this point it is assumed that you are capable of solving fairly simple linear equations and so not a lot of detail will be given for the actual solution stage.The point of this section is more on the set up of the equation than the solving of the equation.

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One car is moving at a speed of 100 mph and the other is moving at 70 mph.

Assuming that the cars start moving at the same time how long does it take for the two cars to meet?

So, the equation is then, $\begin4\left( \right) 2\left( x \right) & = 72\\ 16x 2x & = 72\\ 18x & = 72\\ x & = 4\end$ So, it looks like the height of the set of shelves should be 4 feet. First, let’s define $$p$$ to be the cost that the store paid for the calculator. This means that 0.15$$p$$ has been added on to the original price ($$p$$) to get the amount the calculator is being sold for.

Note however that we haven’t actually answered the question however. This means that we also need the width of the set of shelves. In other words, we have the following equation $p 0.15p = 78.50$ that we need to solve for $$p$$.

$\frac =$ Since we are using the standard scale if the grade percentage is 0.9 or higher the student will get an A.

Likewise, if the grade percentage is between 0.8 and 0.9 the student will get a B.

In this case we definitely need to sketch a figure so we can correctly set up the equation.

Here it is, Now we know that there are 72 feet of wood to be used and we will assume that all of it will be used. $\left( \begin\ \end \right) \left( \begin\ \end \right) = 72$ It is often a good idea to first put the equation in words before actually writing down the equation as we did here.

Or, put in other words, we will now start looking at story problems or word problems. It is my belief however that the main reason for this is that students really don’t know how to work them.

Once you understand how to work them, you’ll probably find that they aren’t as bad as they may seem on occasion.