# Ms. Lindquist: The Free Algebra Tutor for Word Problems

So whatever amount Rhonda drives, Jamies amount will be two times that number. We have already decided that the number of miles driven by Rhonda is R, so the number of miles driven by Jamie is 2 R.
As with Example 4, lets think about this in terms of numbers before jumping into an equation. If Rhonda drives 10 miles, then Jamie will drive twice as far which would be 20.
The sum of the two grades was 138. Find the lowest grade. Step 1: What are we trying to find? The lowest grade on an algebra test. Step 2: Assign a variable for the lowest test grade.
The number of miles driven by either Jamie or Rhonda will work. We need to just choose one and move to Step 3. Lets assign a variable to represent the number of miles driving by Rhonda Lets call it R.
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If you are asked how fast a person is running and give an answer of 700 miles per hour, again you should be worried that there is an error. If you substitute these unreasonable answers into the equation you used in step 4 and it makes the equation true, then you should re-think the validity of your equation.
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