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Solving Linear Equations (APE and MPE)

For Teachers 9th - 10th
In this linear equation worksheet, students use their algebra rules to solve linear equations. This one-page worksheet contains 16 problems, with answers.
Worksheet
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Applied Maximum/Minimum Problems

For Students Higher Ed
In this maximum and minimum worksheet, students determine the dimensions of given figures inscribed within other figures or within graphs. This one-page worksheet contains seven dimension problems.
Worksheet
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Rate Equation

For Students 12th - Higher Ed
In this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...
Worksheet
Curated OER

Worksheet 14: Velocity & Surface Area

For Students 12th - Higher Ed
In this velocity worksheet, students solve rate and velocity problems. They read story problems, determine necessary information, write equations and solve rate, volume and area problems. This three-page worksheet contains twelve...
Worksheet
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Find the Equation of a Line

For Students 10th
In this equation of a line worksheet, 10th graders solve ten problems that determine locating the equation of a line. They first determine whether the given lines are perpendicular or parallel. Then students find the equation of the line...
Worksheet
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More on Least Squares

For Students 12th - Higher Ed
In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
Worksheet
Curated OER

Quadrants

For Students 10th
In this quadrants learning exercise, 10th graders solve and graph 6 different graphs that contain four different quadrants. They name the quadrant or on which axis the point lies. Students identify the difference between graphing...
Worksheet
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Independent Practice 2: Graphing Lines by Graphing Two Points

For Students 9th - 10th
In this graphing lines worksheet, students solve linear equations and then graph the points on the line. This one-page worksheet contains six problems with a coordinate plane provided for each one.
Worksheet
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Graphing Functions

For Students 10th
In this graphing functions worksheet, 10th graders solve 10 different problems that illustrate various graphs of functions. They determine the type of function that each graph shows. Then, students write the equation for the line graphed...
Worksheet
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Inverse of a Function

For Students 10th
In this inverse of function learning exercise, 10th graders solve and graph 10 different problems that include graphically represented inverse functions. First, they solve each of the problems involving graphs and their inverses. Then,...
Worksheet
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Find the Intercepts

For Students 9th
In this intercepts worksheet, 9th graders solve 10 different problems that include determining the intercepts of each equation. First, they set y equal to zero and solve for x. Then, they set x equal to zero and solve for y. They also...
Worksheet
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Equations of Graphs

For Students 9th
In this equations of graphs worksheet, 9th graders solve and graph 10 different problems that include various types of graphs. First, they determine the equation for each graph shown at the top of the sheet. Then, students determine on...
Worksheet
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Linear & Quadratic Functions: Solving Graphically

For Students 9th - 10th
In this linear and quadratic function worksheet, students examine and solve a system of equations. They graph each function on a coordinate plane. This one-page worksheet contains ten problems.
Worksheet
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Graphing Linear Equations

For Students 9th
In this graphing linear equations worksheet, 9th graders solve and graph 10 different problems that include graphing on the given coordinate planes. First, they determine whether each equation is a linear equation and rewrite it in the...
Worksheet
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Solving Linear Systems by Graphing

For Students 9th
In this linear systems worksheet, 9th graders solve and complete 4 different problems by graphing. First, they graph the first equation shown. Then, students graph the second equation on the same coordinate system as the first. They also...
Worksheet
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Pyramids

For Students 10th
For this pyramids worksheet, 10th graders solve and complete 4 different types of problems. First, they count the number of blocks shown in the pyramid. Then, students count the blocks along the lines of symmetry only. They also...
Worksheet
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Linear Equations

For Students 8th - 10th
In this linear equations worksheet, students solve linear equations using a given variable. This two-page worksheet contains approximately 36 problems. Answers are provided on the last page.
Lesson Plan
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More Complicated Functions: Introduction to Linear Functions

For Teachers 9th - 12th
Students explore the concept of linear functions. In this linear functions lesson, students translate linear functions from tables to graphs to equations. Students use an applet to write a function rule for a linear function in...
Lesson Plan
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Count the Differences

For Teachers 9th - 12th Standards
Pupils find the difference between consecutive y-values on the calculator and write an equation that fits the data.  They continue finding the differences in consecutive y-values using lists on their calculator. Learners...
Lesson Plan
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Race Car Activity

For Teachers 8th - 10th
Students investigate linear functions.  In this linear functions lesson, students are given a situation where two race cars start at the same point.  Students have four graphs that they match to the race car scenario. ...
Worksheet
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Two-Point Formula Worksheet

For Students 9th - 10th
In this linear equation worksheet, students determine the equation of a line when given two points.  This two-page worksheet contains 6 problems.  Answers are provided on the last page.
Lesson Plan
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Studying Soils on South Penquite Farm

For Teachers Pre-K - 6th
Students investigate soil depth.  In this studying soils lesson plan, students visit South Penquite Farm and collect samples.  Students record their data and graph results. 
Lesson Plan
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Hold A Hill

For Teachers 3rd - 5th
Learners inspect soil erosion. In this soil erosion instructional activity, students examine the causes of soil erosion and discover ways to conserve the landscape.
Lesson Plan
West Contra Costa Unified School District

Multiple Representations of Equations

For Teachers 6th - 8th Standards
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.

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