Concord Consortium
The Line and the Ellipse
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...
California Education Partners
T Shirts
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....
Mathematics Assessment Project
Printing Tickets
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.
Curated OER
Ten Word Problems Solved Using Systems of Equations
In this quadratic linear systems of equations worksheet, students solve ten word problems using systems of equations. The solutions are provided.
Curated OER
Linear Systems: Differential Equations
In this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.
Curated OER
Linear Systems: Differential Equations
In this differential equations worksheet, students solve collections of simultaneous differential equations. This six-page worksheet contains examples, explanations, and approximately six problems.
Curated OER
Systems of Equations
In this Algebra 2 instructional activity, students solve systems of equations and inequalities then graph the solutions on a number line. There are 11 problems to solve.
Curated OER
Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
Curated OER
Systems of Equations in Two Variables
In this algebra worksheet, students 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. Students graph two systems to determine the solution.
Curated OER
Linear Systems: Using Matrix Operations
In this linear systems learning exercise, students use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page learning exercise contains explanations,...
Curated OER
Solve a System of Inequalities
In this system of linear inequalities worksheet, students solve 5 problems with the graphing method and are given 2 examples with multiple steps to follow.
Curated OER
Linear Relations
In this linear relations worksheet, students complete a table for given functions. They classify graphs as linear or non-linear. Students graph given equations. They compare and contrast graphs. This nine page worksheet contains five...
Curated OER
MA 371 - Matrices: Solving Systems and Determinants
In this solving systems and determinants worksheet, students solve 4 multi-part short answer problems. Students solving systems of equations using matrices. Students find a basis for row spaces and column spaces. Students find the...
Curated OER
Border Patrol ID: 11603
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...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Curated OER
Linear Systems: Graphical Interpretation of Vectors and Linear Systems
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...
Curated OER
Points of Intersection
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...
Curated OER
Extra Practice 3.2: Solving Systems of Equations
In this systems of equations worksheet, students solve 26 short answer questions. Students use substitution and linear combination to solve each system of equations.
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...
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...
Curated OER
Linear Systems
In this linear systems activity, 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
In this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.