# The Transposing Method for solving linear equations

There are some differences between the US basic solving process for algebra equations and inequalities and the world wide one. We teach students to solve equations by observing the principle of balancing the two sides of an equation. The common saying is likely:"Do the same thing to the right side what you did to the left side". On the contrary, the world wide solving process performs by transposing terms from one side to another, while always keeping the equation balanced. The likely saying is:"The running guy appears on the other equation's side with an opposite outfit".

This article generally explains some differences of the 2 solving processes, then it compares them through selected examples.

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This article explains the advantages of the transposing method in solving algebraic equations and inequalities. It proposes to begin teaching students this method at pre-algebra and algebra I classes.

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### Figure This Challenge #56

• Complete Solution will be given on May 17, 2015

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Created by Wanda Collins May 10, 2015 at 1:56pm. Last updated by Wanda Collins May 10, 2015.

# Math Limerick

Question: Why is this a mathematical limerick?

( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) + 5*11 = 92 + 0 .

A dozen, a gross, and a score,
plus three times the square root of four, divided by seven, plus five times eleven, is nine squared and not a bit more.

---Jon Saxton (math textbook author)

Presentation Suggestions:
Challenge students to invent their own math limerick!

The Math Behind the Fact:
It is fun to mix mathematics with poetry.

Resources:

Su, Francis E., et al. "Math Limerick." Math Fun Facts.

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