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Graphing Linear Equations

An understanding of the coordinate plane and the ability to graph a linear equation are helpful tools in these problems.
 Related Resources

Interactive resources from our Math Tools project:
Algebra: Linear Equations
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.
... more>>

Building a Bakery
 Steve Risberg

Algebra, difficulty level 3. Find the best place to build the bakery so that the delivery miles to the stores are minimized.
... more>>

From Here to There
 Steve Risberg

Algebra, difficulty level 2. Given descriptions of the rate schedules of a bus, a taxi, and a
shuttle, choose the graphs that best illustrate the cost of riding
each one.
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Hiking Mount Hood
 PoW staff

Algebra, difficulty level 1. Don hikes up and down a mountain at various speeds. Choose the graph
that best represents his trip.
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Illuminating Lines
 Annie Fetter

Algebra, difficulty level 2. Match up statements, equations, and sets of points on coordinate planes.
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Marsha's Triangle
 Marsha Hurwitz

Algebra, difficulty level 3. Find the area of an isosceles triangle whose two legs are on the x and y axes and whose hypotenuse passes through the point (c,d).
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Spell It Out
 Steve Risberg Annie Fetter

Algebra, difficulty level 2. A wordfind problem exploring how sets of points that form lines can
be described by written sentences. An introduction to linear equations
that sets the stage for the standard y = mx + b form.
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Texting 1, 2, 3
 Steve Risberg

Algebra, difficulty level 2. Determine the pricing of Kheri's cell phone texting plan.
... more>>

A Triangle's Area
 Canadian Open Math Challenge 1999 via Tim Lang

Algebra, difficulty level 3. Find the "b" values of two lines needed to form two congruent triangles of a given area.
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What's My Line?
 Terry Trotter

Algebra, difficulty level 1. Given a set of eight points in the Cartesian plane, find the three that are collinear.
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X Marks the Spot
 Terry Trotter

Algebra, difficulty level 3. A Spanish pirate buries his treasure on an island in a very mathematical manner. Can you locate the "X" spot?
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