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Home > CC2 > Chapter 6 > Lesson 6.2.1 > Problem 6-54


Equation Mat, with an equal sign in the center, with tiles as follows:  Left side, 3 rows of 1 positive, x, and 1 positive unit. Right side, 3 rows of 4 positive units.Consider the Equation Mat at right.  Shaded tile is plus 1.  Tile is negative 1.

Refer to the Math Notes box below for help.

  1. Write the original equation represented.

    Count the number of -tiles and unit tiles on each side of the equation, then turn that into an equation.

  2. Simplify the tiles on the mat as much as possible. What value of  will make the two expressions equal?

    Remove matching sets of tiles from each side.

    Now you are left with -tiles on the left and unit tiles on the right. Divide each side by to find the value of .