Algebra: Diamond Problems
This worksheet focuses on solving Diamond Problems, a common algebraic puzzle involving multiplication and addition.
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Algebra: Diamond Problems
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Date:
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Solve each diamond problem. The top number is the product of the two side numbers, and the bottom number is the sum of the two side numbers. Fill in the missing numbers.
1. Find the missing numbers for the diamond problem:
Top:
Left:
2. Complete the diamond problem:
Bottom:
Left:
3. Solve for the missing values:
Left:
4. If the top number is 100 and the bottom number is 25, what are the two side numbers? Show your work.
5. Create your own diamond problem where one side number is -7 and the bottom number is -2. Then, solve it.
Top:
Left:
6. In a diamond problem, the top number is the of the two side numbers.
7. The bottom number in a diamond problem represents the of the two side numbers.
8. Diamond problems are often used as a visual aid for quadratic expressions.
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