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Squaring Binomials

Part of the solving process for these problems involves squaring a binomial. While students can certainly multiply it out, it's hoped that they will be
able to correctly apply the formula for a binomial squared. Other steps are required as well.
 Related Resources

Interactive resources from our Math Tools project:
Algebra: Polynomials
The closest match in our Ask Dr. Math archives:
High School: Polynomials
NCTM Standards:
Algebra Standard for Grades 912
Access to these problems requires a Membership.

Alvin's Theorem
 Terry Trotter

Algebra, difficulty level 2. Alvin notices that the difference between any two consecutive square
numbers can also be expressed as the sum of consecutive integers.
Can you use algebra to show that this pattern is always true?
... more>>

An Expanding Circle
 Steve Risberg

Algebra, difficulty level 2. When the radius of a circle increases by 6 inches, the area increases
by 125%. Find the original radius.
... more>>

Polynomial Power
 Steve Risberg

Algebra, difficulty level 3. Given the value of one variable expression, can you use it to find the value of others?
... more>>

Three Consecutive Integers
 Annie Fetter

Algebra, difficulty level 1. Use a variable to explain an interesting relationship that can be found between three consecutive integers.
... more>>
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