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Factoring Quadratic Equations
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These problems involve quadratic equations which can be solved by factoring.
- Related Resources
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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 9-12
Access to these problems requires a Membership.
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The Christmas Gifts
- Terry Trotter
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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>>
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An Expanding Circle
- Steve Risberg
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Algebra, difficulty level 2. When the radius of a circle increases by 6 inches, the area increases
by 125%. Find the original radius.
... more>>
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Lost in Mathland
- Steve Risberg
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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>>
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Making Triangles
- Steve Risberg
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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>>
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Maxwell's Mowing
- Terry Trotter
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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>>
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Rocket Science
- Steve Risberg
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Algebra, difficulty level 1. Given the initial velocity of a model rocket, determine at what time
the rocket attains a certain height.
... more>>
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Throw It Down!
- Steve Risberg
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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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