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Slope Between Points
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Part of the solving process for these problems involves finding the slope between two points. Other steps are required as well.
- 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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At Least This Many
- Terry Trotter
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Algebra, difficulty level 2. Using two data points from the NBA statistics chart, form an equation (y = mx + b style), then use it to predict other data points.
... more>>
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Bowl-O-Rama!
- Steve Risberg
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Algebra, difficulty level 1. Given information about the number of games two people bowled and how
much each paid, determine the cost of bowling at Bowl-O-Rama.
... more>>
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Buried Treasure
- Steve Risberg
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Algebra, difficulty level 3. The pirate Algebeard has drawn an unusual treasure map. Can you
determine where his treasure is buried?
... more>>
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Capture the Flag!
- Steve Risberg
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Algebra, difficulty level 4. Help the Algebra and Geometry classes at Mathland High find the
equation of a perpendicular bisector to fairly divide the woods for
their game of Capture the Flag.
... more>>
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Crossed Wires
- Steve Risberg
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Algebra, difficulty level 3. Guy wires support two poles of different heights. Find the height of
their intersection and explore what happens as the distance between
the poles changes.
... more>>
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Heating the Tub
- Steve Risberg
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Algebra, difficulty level 1. Water in a hot tub is heated. Given two times and the temperature at
those times, find an equation that models the heating process, then
use it to predict temperatures and times as the heating continues.
... more>>
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Hole in One!
- Steve Risberg
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Algebra, difficulty level 4. Given the dimensions of a miniature golf hole, use slopes to determine
how Tiger needs to hit his shot to make a hole in one.
... more>>
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Laser Tag
- Steve Risberg
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Algebra, difficulty level 3. Help Karsten determine where he needs to shoot his laser in order to
hit his friend Jorge in a game of laser tag.
... 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).
... more>>
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Math on the Midway
- Steve Risberg
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Algebra, difficulty level 1. Can you win the carnival midway math game by finding a pattern in
the numbers?
... more>>
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Splitting a Square
- Terry Trotter
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Algebra, difficulty level 3. A square is drawn on a coordinate plane with vertices P(1, 0), Q(2, 0), R(2, 1) and S(1, 1). A line is drawn from the origin that cuts the square into two sections whose areas are in a ratio of 2:1. What's the equation of the "cutting" line?
... more>>
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A Tale of Two Intercepts
- Terry Trotter
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Algebra, difficulty level 3. Find the distance between two y-intercepts.
... more>>
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The Coordinate Carousel
- Steve Risberg
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Algebra, difficulty level 3. Mrs. Nomial is watching her daughters on the carousel and notices
something interesting. Determine how far away from the edge of the
carousel she is standing.
... more>>
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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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