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Factoring Quadratic Equations

These problems involve quadratic equations which can be solved by factoring.
 Related Resources

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

The Christmas Gifts
 Terry Trotter

Algebra, difficulty level 2. A grandfather doles out his annual Christmas gifts to his beloved grandchildren in a most unusual way  mathematical, of course.
... 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>>

Lost in Mathland
 Steve Risberg

Algebra, difficulty level 2. Zach and Zeke get separated while hiking in Mathland, where roads
are named with equations. Zeke is at the intersection of three roads
 can you help Zach determine where he is?
... more>>

Making Triangles
 Steve Risberg

Algebra, difficulty level 4. The lengths of three segments are represented by (n + 2)^2, 9, and n(n
+ 5). Determine for what values of 'n' these three segments can be
used to form a triangle.
... more>>

Many or Money?
 Steve Risberg

Algebra, difficulty level 3. Help the Student Council decide how much to charge for tickets to the concert.
... more>>

Maxwell's Mowing
 Terry Trotter

Algebra, difficulty level 1. Maxwell mows rectangular lawns by mowing around the rectangle, leaving a smaller rectangle. If the lawn is 200 feet by 120 feet, how wide a swath has he mowed so far if his mower runs out of gas 1/4 of the way through?
... more>>

Rocket Science
 Steve Risberg

Algebra, difficulty level 1. Given the initial velocity of a model rocket, determine at what time
the rocket attains a certain height.
... more>>

Throw It Down!
 Steve Risberg

Algebra, difficulty level 3. Kelvin leaps high to dunk a basketball. How long are his hands high
enough above the rim for him to dunk?
... more>>
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