Worksheet
Curated OER

Linear Systems: Linear Equations, Vectors and Matrices

For Students Higher Ed
In this vector and matrix worksheet, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page worksheet contains three practice problems, explanations and...
Lesson Plan
Curated OER

Solving Systems of Linear Equations: Extra Practice 31

For Teachers 8th - 9th
In this math worksheet, learners solve systems of two linear equations using either the substitution method or the elimination method. Seven of the twenty problems have a coefficient of one for one of the two variables.
Worksheet
Curated OER

Applying Linear Algebra to Differential Equations

For Students 11th - Higher Ed
In this math activity, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.
Worksheet
Curated OER

Using Linear Algebra to Solve Systems of ODE's

For Students 11th - Higher Ed
In this math worksheet, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
Lesson Plan
Curated OER

Solving Systems via Elimination (Multiplication Method)

For Teachers 9th
Ninth graders investigate systems of linear equations.  In this Algebra I lesson, 9th graders solve systems of linear equations using the elimination method.   Equations are written in standard form.
Worksheet
Curated OER

Linear Inequalities in Two Variables

For Students 9th - 12th Standards
Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
Worksheet
Curated OER

Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
Worksheet
Curated OER

Linear Systems: The Determinant

For Students Higher Ed
In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...
Worksheet
Curated OER

Rewriting Equations &Formulas

For Students 9th - 11th Standards
Practice with literal equations. Solve for one variable in terms of another.  Find the value of y given specific values of x. This short worksheet would make a good warm-up activity at the beginning of class or a quick assessment at...
Lesson Plan
Curated OER

Solution Sets

For Teachers 9th - 12th Standards
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Lesson Plan
Curated OER

What Functions do Two Graph Points Determine?

For Teachers 9th - 12th Standards
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
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...
Lesson Plan
EngageNY

Two Graphing Stories

For Teachers 9th - 10th Standards
Can you graph your story? Keep your classes interested by challenging them to graph a scenario and interpret the meaning of an intersection. Be sure they paty attention to the detail of a graph, including intercepts, slope,...
Lesson Plan
Curated OER

Analyzing Graphs of Two Equations

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

Intermediate Algebra Assessment Review

For Students 9th - 12th Standards
Put on your Algebra cap because this review provides practice on topics such as linear equations, rational expressions, and function problems. All the questions are multiple choice, and while the focus is on a few main sections,...
Lesson Plan
Curated OER

Linear Equations and Matrices

For Teachers 10th - 11th
Students solve systems of equations. In this precalculus lesson plan,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.
Worksheet
Curated OER

Linear Systems: Graphical Interpretation of Vectors and Linear Systems

For Students Higher Ed
In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
Lesson Plan
Curated OER

Topic 2: Graphing 2-Variable Linear Equations

For Teachers 8th - 9th
Students explore the concept of 2-variable equations and expressions. In this 2-variable equation and expression lesson, students translate 2-variable word problems into 2-variable equations and expressions.
Worksheet
Curated OER

Linear Systems: Least Squares Approximations

For Students Higher Ed
In this least squares approximation instructional activity, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students...
Worksheet
Curated OER

Analysis of Interactive Methods for Solving Linear Systems

For Students Higher Ed
For this interactive method worksheet, students use several methods to solve iterations and generate solutions for the function. This four-page worksheet contains approximately ten problems.
Worksheet
Curated OER

Linear Systems: Reduced Row Echelon Matrix and Rank

For Students Higher Ed
Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...
Worksheet
Curated OER

Linear Systems/ LU Decomposition

For Students 11th - Higher Ed
In this math worksheet, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
Lesson Plan
Curated OER

Chapter 5 Solving Problems

For Teachers 9th - 12th
Learners explore the concept of algebra topics. In this algebra topics lesson, students solve linear and quadratic equations. Learners solve systems and factor equations. Students practice problems involving perfect square trinomials and...
Worksheet
Curated OER

Linear Systems: Identifying Pivots and Multipliers

For Students 11th - Higher Ed
In this identifying pivots worksheet, students use algebra to find equivalent systems of equations. This four-page worksheet contains examples, explanations and approximately ten problems.

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