Worksheet
Curated OER

Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
For this graphical interpretation of vectors worksheet, learners execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
Activity
National Council of Teachers of Mathematics

Over the Hill

For Teachers 9th - 12th Standards
Can you hear me from there? Pupils determine the place to build a cell tower on a hill. The class uses constraints and creates a scale drawing on a coordinate system to calculate the exact location of the base of the cell tower.
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.
Lesson Plan
Curated OER

Border Patrol ID: 11603

For Teachers 9th - 12th Standards
Incorporate technology in your classroom by teaching your students how to graph systems of linear inequalities as they apply to an area of land.  The lesson provides an extension in which students are challenged to write a system of...
Worksheet
Curated OER

Solving Linear Systems Using Matrices

For Students 9th - 12th Standards
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
Worksheet
Curated OER

Worksheet #7

For Students 9th - 11th
In 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,...
Worksheet
Curated OER

Math 214 Quiz 8 - Linear Systems

For Students Higher Ed
In this linear system instructional activity, students consider the linear system under given parameters. They identify the solution set of a matrix under given cases. This two-page instructional activity contains three problems.
Worksheet
Curated OER

Linear Systems: Projections

For Students 12th - Higher Ed
In this projection worksheet, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page worksheet contains approximately five problems.
Handout
Charleston School District

Graphing with Slope-Intercept Form

For Students 8th - 9th Standards
Work on graphing linear equations using the provided materials. The print and video lesson thoroughly review the concepts related to graphing linear equations in slope-intercept and standard form. The materials prepare learners for...
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.
Assessment
Concord Consortium

The Line and the Ellipse

For Students 10th - 12th Standards
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
Lesson Plan
EngageNY

Getting a Handle on New Transformations 2

For Teachers 11th - 12th Standards
Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...
Worksheet
Curated OER

MT-A314 Introduction to Linear Algebra Worksheet 1.4(b)

For Students 10th - 11th
A linear algebra activity where pupils explore three linear equations and use Gaussain elimination to solve the system of equations. They identify values that have no solution, one solution, and many solutions. There is one open-ended,...
Worksheet
Curated OER

Points of Intersection

For Students 8th - 9th
Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...
Worksheet
Curated OER

Linear Systems: Applications of Linear Algebra to Differential Equations

For Students 12th - Higher Ed
In this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
Worksheet
Curated OER

Ten Word Problems Solved Using Systems of Equations

For Students 8th - 10th
In this quadratic linear systems of equations worksheet, learners solve ten word problems using systems of equations.  The solutions are provided.
Worksheet
Curated OER

Final Exam Review: College Algebra

For Students 11th - Higher Ed
In this final exam review worksheet,s students solve systems of equations, polynomials and factor quadratic equations.  They identify the slope of a line and write linear equations.  Students use Cramer's rule, graphing,...
Worksheet
Achieve

Stairway

For Students 6th - 10th Standards
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
Worksheet
Curated OER

Solving Polynomial Equations

For Students 8th - 11th Standards
This learning exercise 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...
Worksheet
Curated OER

Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically

For Students 10th - 12th
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
Worksheet
Curated OER

Seven Advanced Algebra Problem Sets

For Students 11th - 12th
For this advanced algebra worksheet, students solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method. 
Worksheet
Curated OER

Linear Equations

For Students 8th - 12th
In this variables worksheet, students eliminate the x or y values in each of the equations. Students complete 5 equations total on this worksheet.
Worksheet
Curated OER

Systems of Equations

For Students 9th - 11th
In this algebra worksheet, students solve systems of equation through graphing, linear combination and substitution. There are 3 questions.
Worksheet
Curated OER

Least Squares

For Students 12th - Higher Ed
In this least squares learning exercise, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the...

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