# Problem Solving In Algebra

I like to set up these types of problems as proportions, but what we’re looking for is actually a rate of minutes to photos, or how many minutes to print 1 photo.Remember that rate is “how many \(y\)” to “one \(x\)”, or in our case, how many “\(m\)” to one “\(p\)”.Now let’s do some problems that use some of the translations above.

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We will see later that this is like a Slope that we’ll learn about in the Coordinate System and Graphing Lines including Inequalities section.

Here’s the math: To get the rate of minutes to photos, we can set up a proportion with the minutes on the top and the photos on the bottom, and then cross multiply.

Also, remember that if the problem calls for a pure solution or concentrate, use 100%.

Solution: Converting repeating decimal to fraction problems can be easily solved with a little trick; we have to set it up as a subtraction, so the repeating part of the decimal is gone.

Note that Using Systems to Solve Algebra Word Problems can be found here in the Systems of Linear Equations and Word Problems section.

Now that you can do these difficult algebra problems, you can trick your friends by doing some fancy word problems; these are a lot of fun.

So the equation relating the number of color photos \(p\) to the number of minutes \(m\) is \(\displaystyle m=\fracp\). Let’s see how we can set this up in an equation, though, so we can do the algebra!

There are actually a couple of different ways to do this type of problem.

Now we have 6 test grades that will count towards our semester grade: 4 regular tests and 2 test grades that will be what you get on the final (since it counts twice, we need to add it HINT: For any problem with weighted averages, you can multiply each value by the weight in the numerator, and then divide by the sum of all the weights that you’ve used.

For example, if you had test 1 (say, an of your grade, you will take the weighted average as in the formula below.

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