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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 9-12

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. ... more>>

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. ... more>>

Illuminating Lines - Annie Fetter
Algebra, difficulty level 2. Match up statements, equations, and sets of points on coordinate planes. ... more>>

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). ... more>>

Spell It Out - Steve Risberg Annie Fetter
Algebra, difficulty level 2. A word-find 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. ... more>>

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. ... more>>

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. ... more>>

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? ... more>>

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