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.
EngageNY
End-of-Module Assessment Task: Grade 8 Module 4
Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear...
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...
Curated OER
Systems of Linear Inequalities
Graphing systems of linear inequalities is the focus of this worksheet. Problems range from checking solutions of inequalities, graphing systems of two inequalities, and graphing systems of three inequalities. Graphing horizontal lines,...
Illustrative Mathematics
How Many Solutions?
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...
CPM
Using Equal Values Method or Substitution
Math whizzes solve and complete 20 different problems. Problems are solved using the substitute, or the equal values method. Learners also create their own systems of equations based on word problems.
CCSS Math Activities
Sandwich Shop
Eat up the task on systems of equations. Given information on the total number of sandwiches and the total income, learners write and solve a linear system of equations to find the number of each type of sandwich sold at a shop. They...
Curated OER
How Much Does Sibyl Dibble Get Paid Per Hour?
In this problem solving word problems, students determine how much a person makes per hour. The solution is provided. Students can solve this problem in several ways.
Concord Consortium
Systematic Solution II
Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their...
Noyce Foundation
Digging Dinosaurs
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
Curated OER
Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
Curated OER
Linear Systems: The Column Space
In this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.
Curated OER
Linear Systems: Applications of Eiginvalues
In this Eigenvalue and Eigenvector worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.
Curated OER
Linear Systems: Orthogonal Matrices
In this orthogonal matrices learning exercise, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page learning exercise contains...
Curated OER
Linear Systems: Reduced Row Echelon Matrix
In this echelon matrix activity, students find the nullspace of matrices by finding the reduced row echelon. This two-page activity contains explanations, examples and six problems to complete.
Curated OER
Systems-Angle Problems
In this geometry activity, 10th graders use systems of linear equations to solve word problems which involve supplementary and complementary angles. The one page activity contains ten problems. Answers are not provided.
Curated OER
Solving Systems of Inequalities
In this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
Curated OER
Modeling in Algebra
In this modeling in algebra activity, 8th graders solve ten different types of algebra problems, including 5 word problems. They first complete each table, describe the pattern used, and determine the 20th and nth term for each. Students...
Curated OER
Final Exam Review: College Algebra
In this final exam review activity,s learners 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,...
Fredonia State University of New York
Watch Your Step…You May Collide!
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...
National Council of Teachers of Mathematics
Over the Hill
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.
Barton Math Class
Parallel and Perpendicular Lines Worksheet
With the focus being on parallel, perpendicular, or neither type, practice with three different types of problem solving. Learners start with a simple skill of determining the relationship between slopes and then work towards creating...
Curated OER
Equations of Lines Perpendicular and Parallel
In this algebra worksheet, students solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
Curated OER
Systems of Linear Inequalities
In this Algebra I/Algebra II worksheet, learners solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system. The three page...