ws-equationsolving-fractions-2.pdf
ws-mathcounts-20161122-OPLET.docx
In class today students worked on equation solving and mathcounts problems. I notice that generally they are comfortable solving multi-step equations like (equation 1)

But many students were not sure how to solve (equation 2):

So we did this example in class. I showed students that division can be distributed just like multiplication so we can turn the equation into

and then solve it. Or, we can notice that if two fractions are equal, then their cross products are equal. For example, it is also the case that . This is true for all equivalent fractions and so another way to approach solving equation 2 is to find the cross products and set them equal

And solve from there

Subtract from both sides and add to both sides to get

And finally,

Assignment [handouts attached]

• Equations worksheet
• Mathcounts worksheet

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