Curated OER
Solving a System Containing Equations and an Inequality
In this systems learning exercise, students solve a system containing three linear equations and one linear inequality. The solution is provided.
Curated OER
Applying Linear Algebra to Differential Equations
In this math worksheet, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.
Curated OER
Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
Curated OER
Solving Linear Systems by Substitution
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...
Alabama Learning Exchange
Systems on a Mission
Solve systems of equation problems using four different methods: elimination by addition or subtraction, graphing, elimination by multiplication, and substitution. Middle schoolers are then given a series of "missions" to complete.
Curated OER
Linear Inequalities in Two Variables
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...
Curated OER
Solving by Substitution or Elimination
In this algebra worksheet, learners solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option...
Curated OER
Solving Linear Equations
Use this learning exercise for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or...
Curated OER
Linear Systems: Projections
In this projection activity, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page activity contains approximately five problems.
Curated OER
Linear Systems: Nullspace
In 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.
Curated OER
Systems of Equations in Two Variables
In this algebra worksheet, pupils work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Pupils graph two systems to determine the solution.
Curated OER
Math and Measurement
Engage the class in exploring linear measurement and map scales. They work in groups to measure various distances in the classroom and convert measurements to other units as directed by the teacher. To access this Word document, click on...
EngageNY
Why Are Vectors Useful? 2
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
Curated OER
FCAT Real World Solving Linear Equations/Systems
Pupils relate real life situation to the equations, graphs and inequalities. They model real life scenarios using matrices and draw conclusions from their data. This lesson plan is aligned with FCAT.
Curated OER
Linear Systems: Least Squares Approximations
For this least squares approximation worksheet, 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 find the...
Curated OER
Intersecting Graphs
Ninth graders know how to solve a system of linear equations, but what happens when the system involves an exponential function? The instructional slideshow teaches viewers to determine solutions to systems of equations with linear...
Curated OER
Solving Systems vis Elimination
Learners solve systems of equation using elimination. In this algebra lesson, students identify the type of solutions produces by systems of equations. They discuss the type of lines formed given a linear pair.
Curated OER
Systems of Equations
In this algebra worksheet, students solve systems of equation through graphing, linear combination and substitution. There are 3 questions.
Curated OER
The Number of Solutions for a System of Equations.
Students define lines as dependent, independent and no solution. In this algebra lesson, students identify the type of solutions produces by systems of equations. They discuss the type of lines formed given a linear pair.
Curated OER
Solution Sets
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...
Curated OER
How Much Folate?
This task includes scaffolding to support the introduction of the writing and graphing of linear inequalities. Then your geometry learners discover that writing down all possible combinations is not feasible so they are led to use...
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
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...
Math Guy
Algebra 1 Practice Final
What makes this resource special? The amazing answer key that comes with worked out solutions and notes for each problem. Practice problems include all topics ranging from linear systems to simplifying exponential expressions. The...
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