Worksheet
Curated OER

Solving Linear Systems by Linear Combinations

For Students 9th - 12th Standards
This worksheet offers six problems to practice solving simultaneous equations using the method of elimination. Start with systems that require multiplying only one of the equations. Then move to systems which require multiplying both...
Lesson Plan
Curated OER

Series Solution of the Time-Independent Schrödinger Equation

For Teachers 11th - Higher Ed
In this math worksheet, students find the solutions to the problems that apply the time-independent Schrödinger equation. They examine the relationship between the mass and energy.
Worksheet
Curated OER

Linear Equations

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students write the equation of a line given the coordinates of two points on the line.  The one page worksheet contains a combination of three multiple choice and free response...
Lesson Plan
Willow Tree

Systems of Equations

For Students 8th - 11th Standards
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
Worksheet
Kuta Software

Equations in Standard Form - Solving Systems by Graphing

For Students 9th - 12th Standards
Get to graphing and figure out the solution between two lines using this 14-problem worksheet. Graphs are provided for the first eight problems, but requires learners to graph the remaining six separately.
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

Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
In this graphical interpretation of vectors activity, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page activity contains...
Worksheet
Raytheon

Equations and Graphing Review

For Students 7th - 9th
In this equations and graphing review instructional activity, learners write, graph and solve equations for 62 problems, including a mid-unit review, with answers included.
Worksheet
Curated OER

Seven Advanced Algebra Problem Sets

For Students 11th - 12th
In this advanced algebra learning exercise, learners solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method. 
Lesson Plan
Curated OER

Linear Equations

For Teachers 8th - 10th
In this linear equations worksheet, students problem solve two equations by graphing the solution set of the system in each one.
Lesson Plan
Illustrative Mathematics

How Many Solutions?

For Teachers 7th - 9th Standards
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Worksheet
Curated OER

Linear Systems: Projections

For Students 12th - Higher Ed
For 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.
Worksheet
Curated OER

Linear Systems: Nullspace

For Students Higher Ed
For this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
Assessment
Concord Consortium

Systematic Solution I

For Students 10th - 12th Standards
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
Lesson Plan
Fredonia State University of New York

Watch Your Step…You May Collide!

For Teachers 8th - 10th Standards
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
Worksheet
Curated OER

Linear Systems: Applications of Linear Algebra to Differential Equations

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

Linear Quadratic Systems

For Students 9th - 11th Standards
In this linear quadratic system worksheet, students explore a system with a linear and a quadratic equation. With the given equations, students graph the parabola. They identify the axis of symmetry, the slope, points of intersection,...
Lesson Plan
Curated OER

Solving Problems Using Systems of Equations Section 8.3

For Teachers 9th - 10th
In this system of equations worksheet, students solve problems involving systems of equations. They read short stories, write equations relating to the information, and solve the systems of equations using the substitution or elimination...
Worksheet
Curated OER

Linear Inequalities

For Students 8th - 9th
In this algebra worksheet, students solve linear inequalities. They graph their solution on a coordinate plane. There are 6 questions with answer key.
Worksheet
Curated OER

Linear Equations

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

Linear Systems: Fundamental Theorem of Linear Algebra

For Students 11th - Higher Ed
In this linear algebra worksheet, learners complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
Worksheet
Curated OER

Solving Systems of Equation by Elimination

For Students 9th - 10th
In this algebra worksheet, students solve systems of equations using elimination or linear combination. There are 24 questions with an answer key.
Assessment
Inside Mathematics

Graphs (2007)

For Teachers 9th - 12th Standards
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
Worksheet
Curated OER

Linear Programming

For Students 9th - 12th
In this algebra worksheet, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.

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