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1-15.

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 (#).

diamond problem

Diamond problem

Diamond problem

Diamond problem


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

  1. 1-15(a) diamond diagram

  1. 1-15(b) diamond diagram

  1. 1-15(c) diamond diagram

  1. 1-15(d) diamond diagram

  1. 1-15(e) diamond diagram

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

See the diamonds below. In the example diamonds, notice how one row added
together equals the bottom number, while that row multiplied equals the top number.