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Linear Inequalities

These problems involve linear inequalities and may include graphing and linear programming.
 Related Resources

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

Are You Positive?
 Steve Risberg

Algebra, difficulty level 3. Find all values of x that make a rational expression have a positive value.
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Fraction Debate
 Steve Risberg

Algebra, difficulty level 3. Three students disagree about what happens when you perform a certain operation on a positive proper fraction. Which student do you agree with? Why?
... more>>

He Shoots! He Scores!
 Annie Fetter, Steve Risberg, & Terry Trotter

Algebra, difficulty level 3. Given a set of equations and inequalities, figure out how many points Bo might have scored in his basketball game.
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Hoop Heroes
 Steve Risberg

Algebra, difficulty level 3. Use inequalities to determine how many points Kylie and Shaniqua each
scored in the championship basketball game.
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Letter Jackets
 Steve Risberg

Algebra, difficulty level 4. A company makes jackets that show support for your school. Given
information on the time needed to make each of two models and the
profit earned for selling them, determine how many of each the company
should make each day to maximize the profit.
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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.
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A Phoney Deal?
 Steve Risberg

Algebra, difficulty level 2. Compare two cell phone pricing plans to determine for how many minutes
of calls per month each one is the better deal.
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Tennis Anyone?
 Ethel Breuche

Algebra, difficulty level 1. Use algebra, inequalities, and ratios to find the greatest number of matches a player could have won before the weekend to achieve the win ratio of .503 after the weekend.
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Triangle Possibilities
 Steve Risberg

Algebra, difficulty level 2. Given information about side lengths of a triangle, determine possible dimensions.
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A Variable Triangle
 Steve Risberg

Algebra, difficulty level 4. Given a triangle with side lengths of x + 2, x + 3, and 11, what can
we conclude about x?
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