Curated OER
Solving Linear Inequalities
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...
Curated OER
Practice solving systems of equations
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...
Illustrative Mathematics
Summer Swimming
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...
PBL Pathways
Arsenic and Selenium Removal From Drinking Water at a Minimal Cost
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...
101 Questions
Potty Math
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.
CK-12 Foundation
Direct Variation: Value of a Painting
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.
Curated OER
Linear Systems
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...
Curated OER
Solving a System Containing Equations and an Inequality
In this systems worksheet, students solve a system containing three linear equations and one linear inequality. The solution is provided.
Illustrative Mathematics
Quinoa Pasta 1
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,...
Curated OER
Dimensions of Subspaces
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.
Curated OER
Linear Systems: Review of Vectors
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...
Curated OER
Linear Systems: Nullspace Matrix
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.
Curated OER
Linear Systems: Least Square Regression
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.
Curated OER
Using Gauss Jordon to Solve Linear Systems by Elimination
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.
Curated OER
Linear Systems: Matrix Operations
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.
Curated OER
Systems-Angle Problems
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.
Curated OER
Solving Systems of Inequalities
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.
Curated OER
Analyzing Graphs of Two Equations
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.
Balanced Assessment
Telephone Service
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...
Curated OER
Solving Polynomial Equations
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...
Curated OER
Solving System of Equations by Addition or Subtraction
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...
Curated OER
How Much Does Sibyl Dibble Get Paid Per Hour?
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.
Curated OER
Linear Systems: Vector Spaces
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.
Curated OER
Worksheet #7
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,...