Two neat factoring problems for kids

My son is in the review section of chaper 11 of Art of Problem Solving’s Introduction to Algebra book.    I asked him to chose a problem for our movie today and he chose a “greater than / less than” problem that connects to factoring.  It is a nice way for kids to see a connection between arithmetic and algebra:

 

Since that problem went fairly quickly, I grabbed one of the example problems from earlier in the chapter that had caught my attention. This one is a really neat example of how algebra can help solve an arithmetic problem:

 

A fun morning – I really love the problems in the Art of Problem Solving books!

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