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Finding and using a pattern is an important problem-solving skill you will use in algebra. The patterns in Diamond Problems will be used later in the course to solve other types of algebraic problems. Homework Help ✎

Look for a pattern in the first three diamonds below. For the fourth diamond, explain how you could find the missing numbers (?) if you know the two numbers (#).

Copy the Diamond Problems below onto your paper. Then use the pattern you discovered to complete each one.

  1. Diamond with 3 in left and 4 in right diamond.

  1. Diamond with -2 in left and -3 in right diamond.

  1. Diamond with 12 in top and 7 in bottom diamond.

  1. Diamond with 4 in top and 1/2 in right diamond.

  1. Diamond with 8 in top and -6 in bottom diamond.

What do you do to each of the # numbers to get to the ? numbers?

See the diamonds below.

In the example diamonds, notice how the two side numbers added together equal the bottom number, while those same two numbers multiplied equal the top number.

a through e diamond problem solutions