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Single Variable Division Equations

Solve one - step equations using division.

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Its Weight in Gold

Credit: George Hodan
Source: http://www.publicdomainpictures.net/view-image.php?image=53740
License: CC BY-NC 3.0

Do you know how chemistry, gold, and solving division equations are connected? Well, if you understand density, mass, and volume, you can figure out the connection.

Why It Matters

Imagine that you were living back during the Gold Rush. Now imagine that you were one of the first people to strike a claim. You are pretty sure you've discovered a gold nugget! How would you figure out if it was really gold?

Credit: John Louis
Source: http://www.flickr.com/photos/investingingold/8058839873/
License: CC BY-NC 3.0

Back then, the gold nugget would be put under a magnifying glass, weighed, and examined. Then someone would be appointed to make the decision. The process nowadays is a little different. If you were to discover a gold nugget today, a scientist would have the task of determining whether or not the gold was real. That scientist would have to figure out the density of the gold nugget. The density of gold is known to be 19.3 grams/cm3. If the density of the nugget was also equal to 19.3 grams/cm3, then you'd know that your gold nugget was real.

Density is equal to mass divided by volume, which is represented by the following equation:

\begin{align*}D=\frac{m}{V}\end{align*}

After determining the mass and the volume of the gold nugget, you can substitute those values into the equation and solve for the density. You would know whether or not your nugget was worth its weight in gold!

See for yourself: http://video.mit.edu/watch/is-that-really-gold-archimedes-and-density-10968/

Explore More

At the first link below, continue working with the chemistry of gold and equations involving mass, volume, and density. Check out the next website to review how to solve one-step linear equations.

http://chemistry.about.com/od/workedchemistryproblems/a/Working-With-Density.htm

http://www.purplemath.com/modules/solvelin.htm

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Image Attributions

  1. [1]^ Credit: George Hodan; Source: http://www.publicdomainpictures.net/view-image.php?image=53740; License: CC BY-NC 3.0
  2. [2]^ Credit: John Louis; Source: http://www.flickr.com/photos/investingingold/8058839873/; License: CC BY-NC 3.0

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