Diamond Problems: Factoring and Operations
This worksheet provides practice with diamond problems, focusing on multiplication, addition, and factoring skills essential for algebra.
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Standards
Diamond Problems: Factoring and Operations
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Complete 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.
Find the missing numbers in each diamond problem.
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Right:
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Complete the following diamond problems by filling in the missing values.
1. Product: 24, Sum: 10. Side numbers: and
2. Product: -30, Sum: -1. Side numbers: and
3. Product: 100, Sum: 20. Side numbers: and
1. If the product is 60 and the sum is 17, what are the two side numbers?
2. Can a diamond problem have a product of -16 and a sum of 0? Explain why or why not.
1. Which pair of numbers completes a diamond problem with a product of 42 and a sum of 13?
6 and 7
3 and 14
2 and 21
1 and 42