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Diamond Problems Worksheet

This worksheet focuses on solving diamond problems, a fundamental concept in algebra that helps students practice multiplication and addition of integers to find two numbers that satisfy given conditions.

Grade 12 Math AlgebraDiamond Problems
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Includes

3 CustomShort Answer

Standards

CCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSA.SSE.A.2
6 sections · Free to use · Printable
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Diamond Problems

Name:

Date:

Score:

Instructions: 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 two missing side numbers for each diamond problem.

2410

Side 1:  

Side 2:  

-30-1

Side 1:  

Side 2:  

-72-1

Side 1:  

Side 2:  

Find the product (top number) and sum (bottom number) for each diamond problem.

5-3

Product:  

Sum:  

-8-4

Product:  

Sum:  

126

Product:  

Sum:  

Complete each diamond problem by finding the missing product or sum.

7-2

Product:  

Sum:  

48-6

Side 2:  

Sum:  

-12-9

Product:  

Side 1:  

1. Explain the relationship between diamond problems and factoring quadratic expressions.

2. Create your own diamond problem where the product is 36 and the sum is -13. Show your work.