Math Forum - Problems Library - Algebra, Quadratics: Factoring

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quadratic equations
factoring
completing the square
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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 9-12

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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