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Worksheet
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Curated OER

Solving Linear Inequalities

For Students 8th - 11th Standards
Walk the class through the steps of how to evaluate linear inequalities in one variable and graph the solution set. Define and discuss key vocabulary terms, then have individuals work problems of varying difficulty. Included are word...
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Lesson Plan
Curated OER

Practice solving systems of equations

For Teachers 11th
Eleventh graders solve systems of equation. In this algebra lesson, 11th graders find the point of intersection of two lines if there is any, using algebra and graphing. They use substitution and linear combination to find the solution...
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Lesson Plan
Illustrative Mathematics

Summer Swimming

For Teachers 7th - 9th Standards
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
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Activity
PBL Pathways

Arsenic and Selenium Removal From Drinking Water at a Minimal Cost

For Teachers 10th - Higher Ed Standards
Decide on the most efficient plan to supply drinking water. The second project-based learning task in a two-part series builds upon the first project. Pupils revisit the wells to supply drinking water, but they must make sure the...
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Activity
101 Questions

Potty Math

For Teachers 9th - 12th Standards
You don't want to flush your money down the drain! Have your classes complete a financial comparison between two different types of toilets. They use linear modeling to determine the most cost-effective model.
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Interactive
CK-12 Foundation

Direct Variation: Value of a Painting

For Students 9th - 12th Standards
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
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Worksheet
Curated OER

Linear Systems

For Students Higher Ed
In this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
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Interactive
Curated OER

Solving a System Containing Equations and an Inequality

For Students 8th - 10th
In this systems worksheet, students solve a system containing three linear equations and one linear inequality.  The solution is provided.
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Lesson Plan
Illustrative Mathematics

Quinoa Pasta 1

For Teachers 7th - 9th Standards
Here is a great opportunity to introduce your mathematicians to a food they may never have heard of, quinoa. It may help to show a short video on quinoa, or make some quinoa for the class to try. Once they get over how to say quinoa,...
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Worksheet
Curated OER

Dimensions of Subspaces

For Students 11th - Higher Ed
For this math worksheet, learners practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
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Worksheet
Curated OER

Linear Systems: Review of Vectors

For Students 12th - Higher Ed
In this review of vectors instructional activity, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page instructional activity contains...
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Worksheet
Curated OER

Linear Systems: Nullspace Matrix

For Students Higher Ed
In this linear systems worksheet, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page worksheet contains explanations, examples and four problems to solve.
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Worksheet
Curated OER

Linear Systems: Least Square Regression

For Students Higher Ed
For this least square regression worksheet, students find solutions to given linear systems. They draw pictures, draw a vector and prove the solution. This two-page worksheet contains eleven problems, with some examples and explanations.
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Worksheet
Curated OER

Using Gauss Jordon to Solve Linear Systems by Elimination

For Students 11th - Higher Ed
In this math worksheet, students practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.
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Worksheet
Curated OER

Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
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Worksheet
Curated OER

Systems-Angle Problems

For Students 10th
In this geometry worksheet, 10th graders use systems of linear equations to solve word problems which involve supplementary and complementary angles.  The one page worksheet contains ten problems.  Answers are not provided. 
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Worksheet
Curated OER

Solving Systems of Inequalities

For Students 9th - 11th
In this algebra activity, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
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Lesson Plan
Curated OER

Analyzing Graphs of Two Equations

For Teachers 9th - 10th
Students analyze graphs of two equations. In this algebra lesson, students rewrite word problems as linear equations. They graph their solution and compare and contrast the two items being represented.
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Assessment
1
1
Balanced Assessment

Telephone Service

For Students 9th - 12th Standards
Class members must determine the best phone plan for customers. by assessing three different phone plans. Each plan price depends not only the number of minutes, but also the location of the calls — bringing in a third variable. Scholars...
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Worksheet
Curated OER

Solving Polynomial Equations

For Students 8th - 11th Standards
This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
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Interactive
Curated OER

Solving System of Equations by Addition or Subtraction

For Students 9th - 12th
In this online math worksheet, students solve systems of equations by using addition and subtraction . This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific...
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Worksheet
Curated OER

How Much Does Sibyl Dibble Get Paid Per Hour?

For Students 8th - 11th
In this problem solving word problems, students determine how much a person makes per hour.  The solution is provided.  Students can solve this problem in several ways.
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Worksheet
Curated OER

Linear Systems: Vector Spaces

For Students Higher Ed
For this vector space worksheet, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page worksheet contains approximately eight problems.
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Worksheet
Curated OER

Worksheet #7

For Students 9th - 11th
For this maximum and minimum of values worksheet, students solve 4 problems, two of which are word problems, related to determining values of a given variable. First, they find the maximum value of P subject to its constraints. Then,...

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