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Home > AC > Chapter 8 > Lesson 8.1.1 > Problem 8-8

8-8.

Remember that a Diamond Problem is a pattern for which the product of two numbers is placed on top, while the sum of the same two numbers is placed on bottom. (This pattern is demonstrated in the diamond at right.) Copy and complete each Diamond Problem below.

Generic Diamond Problem. One number, X, is located on the left side. The second number, Y, is located on the right side.  The bottom number is the sum of the two numbers, X and Y. The top number is the product of the two numbers, X and Y.

  1. Diamond Problem. Left blank, Right blank, Top negative 80,  Bottom 2

    What two numbers add to and multiply to ?

  1. Diamond Problem. Left blank, Right blank, Top 12,  Bottom negative 7

    For parts (b) through (d) refer to the hint given in part (a).

  1. Diamond Problem. Left blank, Right blank, Top 0,  Bottom

  1. Diamond Problem. Left blank, Right blank, Top negative 81,  Bottom 0

  1. Diamond Problem. Left blank, Right blank, Top 6 x squared,  Bottom 5 x

    Diamond Problem. Left 2 x, Right 3 x, Top 6 x squared,  Bottom 5 x

  1. Diamond Problem. Left blank, Right blank, Top negative 7 x squared,  Bottom negative 6 x

    Think of two numbers that multiply to and add to .
    Also refer to answer in part (c).