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Graphing Linear Equations
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An understanding of the coordinate plane and the ability to graph a linear equation are helpful tools in these problems.
- Related Resources
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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.
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Illuminating Lines
- Annie Fetter
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Algebra, difficulty level 2. Match up statements, equations, and sets of points on coordinate planes.
... more>>
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Marsha's Triangle
- Marsha Hurwitz
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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
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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.
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A Triangle's Area
- Canadian Open Math Challenge 1999 via Tim Lang
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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
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Algebra, difficulty level 1. Given a set of eight points in the Cartesian plane, find the three that are collinear.
... more>>
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X Marks the Spot
- Terry Trotter
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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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