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Diamond Problems: Factoring Practice

This worksheet helps grade 9 students practice solving diamond problems, which reinforce factoring quadratic expressions.

Grade 9 Math AlgebraDiamond Problems
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Includes

2 CustomShort Answer

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.ACCSS.MATH.CONTENT.HSA.APR.B.3

Topics

AlgebraFactoringDiamond ProblemsQuadratic ExpressionsGrade 9 Math
5 sections · Free to use · Printable
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Diamond Problems: Factoring Practice

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Instructions: In 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 for each diamond.

2411??
3011??
-18-7??
-40-3??
-242??
-36-5??
4914??
-640??

1. If the top number of a diamond problem is 60 and the bottom number is 17, what are the two side numbers?

2. Can you always find two integers for any given product and sum? Explain why or why not.