PHET
Equality Explorer: Two Variables
Solving equations in two variables can't be that much harder than solving equations in one variable. Using a balance interactive, scholars solve equations in two variables. They apply inverse operations by adding -x, -y, or -1 as...
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 1)
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations.
Curated OER
2 x 2 Linear Systems
Students graph 2x2 systems and solve them algebraically. They investigate parallel systems by solving equations.
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...
Concord Consortium
In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
Curated OER
Linear Equations
For this linear equations worksheet, students problem solve two equations by graphing the solution set of the system in each one.
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...
Curated OER
Linear Inequalities
In this algebra learning exercise, students solve linear inequalities. They graph their solution on a coordinate plane. There are 6 questions with answer key.
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.
Curated OER
Systems-Angle Problems
In this geometry worksheet, 10th graders use systems of linear equations to solve word problems which involve supplementary and complementary angles. The one page worksheet contains ten problems. Answers are not provided.
Concord Consortium
Look but Do Not Touch
We seem to keep missing each other. A short task provides pupils with a quadratic function, as well as a linear function with a missing coefficient. They must determine the value of the coefficient for which the graphs do not intersect.
Curated OER
Cramer's Rule ID: 8793
Mathematicians are introduced to Cramer’s Rule and use it to solve three systems that have one solution, no solutions, and an infinite number of solutions. Students use TI-Nspire to graph the systems to verify their answers and...
Curated OER
2 X 2 Linear Systems
Students solve 2 X 2 systems graphically and algebraically. They investigate parallel systems. They solve application problems using 2 X 2 systems.
Curated OER
Whose Line is it Anyway?
Students solve systems of equations. In this algebra lesson plan, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.
Curated OER
Setting Up Equations
In this setting up equations activity, learners solve 4 different problems that include setting up the equations in each problem. They write out an equation or set up an equations that describe each given situation. Then, students state...
Math Worksheet Center
Linear Quadratic Systems
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,...
Curated OER
What is a Solution to a System?
Students define the solution to a system of equation. In this algebra lesson, students graph two line on the TI calculator and identify the point of intersection if there is any. They find one, zero or infinitely many solution and...
Curated OER
Linear Systems: Least Squares Approximations
In 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
Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra instructional activity, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page instructional activity contains examples, explanations, and approximately...
Curated OER
Topic 2: Graphing 2-Variable Linear Equations
Students explore the concept of 2-variable equations and expressions. For this 2-variable equation and expression lesson, students translate 2-variable word problems into 2-variable equations and expressions.
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: Other Methods of Computing Determinants
In this computing determinants worksheet, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This two-page...
Curated OER
Using Linear Algebra to Solve Systems of ODE's
For this math worksheet, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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,...