Math Forum - Problems Library - Algebra, Linear Equations: Slope-Intercept Form

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Slope-Intercept Form
Part of the solving process for these problems involves finding a linear equation in slope-intercept form. Other steps are required as well.

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>>

At Least This Many - Terry Trotter
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>>

Bowl-O-Rama! - Steve Risberg
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>>

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>>

Capture the Flag! - Steve Risberg
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>>

Choosing Charity - Steve Risberg
Algebra, difficulty level 2. A company donates to a relief fund by giving a certain amount plus an additional amount for each employee who decides to donate. Given two data points, find the linear equation that defines the company's part of the total donation. ... more>>

Crossed Wires - Steve Risberg
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>>

Heating the Tub - Steve Risberg
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>>

Laser Tag - Steve Risberg
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>>

Line Logic - Steve Risberg
Algebra, difficulty level 1. Given five statements, find an equation of a line that makes four of the statements true and one false. ... 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>>

Math on the Midway - Steve Risberg
Algebra, difficulty level 1. Can you win the carnival midway math game by finding a pattern in the numbers? ... more>>

Splitting a Square - Terry Trotter
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>>

A Tale of Two Intercepts - Terry Trotter
Algebra, difficulty level 3. Find the distance between two y-intercepts. ... more>>

Texting 1, 2, 3 - Steve Risberg
Algebra, difficulty level 2. Determine the pricing of Kheri's cell phone texting plan. ... more>>

Triangle Probability - Annie Fetter
Algebra, difficulty level 3. A point is randomly selected from within a triangle with vertices at (0,0), (0,4) and (6,0). What is the probability that the x-coordinate of the selected point is less than the y-coordinate? ... 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>>

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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