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quadratic equations
completing the square
quadratic formula

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The Quadratic Formula
These problems involve quadratic equations which are not factorable and can be solved by use of the quadratic formula, although some students may choose to complete the square.

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.

All Wet - Linda Benton
Algebra, difficulty level 3. Solve simultaneous equations, find area, and use the Pythagorean theorem and percentages to find the spraying distance needed for a circular sprinkler in a rectangular yard. ... more>>

The Continued Fraction - Ethel Breuche
Algebra, difficulty level 4. Find the value of a given continued fraction. ... 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>>

The Length of Larry's Rectangle - Larry Sue
Algebra, difficulty level 2. Larry wants to know the length of his rectangle. Can you help him? ... more>>

Poolish Pride? - Steve Risberg
Algebra, difficulty level 3. Two competitive brothers build rectangular pools of similar shape but different size. Given some information relating the lengths and widths, find the area of the larger pool. ... more>>

Reciprocals - Steve Risberg
Algebra, difficulty level 3. Explore the numeric difference between numbers and their reciprocals. ... 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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