Curated OER
Solving Systems of Equations by Graphing
In this systems of linear equations worksheet, students graph two equations on each coordinate grid. All systems are linear. One of the systems is parallel. The others have one point of intersection.
Curated OER
Linear Systems: Linear Equations, Vectors and Matrices
In this vector and matrix worksheet, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page worksheet contains three practice problems, explanations and...
Virginia Department of Education
Road Trip
Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Curated OER
Solving Linear Systems by Graphing
A worksheet that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one...
Curated OER
Solving Linear Equations
Use this worksheet 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 infinitely...
Curated OER
Linear Systems: General Solutions
In this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
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
Linear - Quadratic Systems
In this quadratic system worksheet, students solve systems of linear equations. This one-page worksheet contains two story problems where students write their own system of equations and then solve. The remaining eight problems are...
Curated OER
Numerical Analysis: Solving Systems Of Non-Linear Equations
In this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
Curated OER
Systems of Equations (Systems Project Part 1)
In this systems of equations worksheet, students identify and explore three ways to solve systems of equations: graphing, substitution, elimination. They discuss the strengths, weaknesses, and write an algorithm for each...
Inside Mathematics
Printing Tickets
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
Curated OER
Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
Mathematics Assessment Project
Fencing
Nail this assessment task to your list of resources. Learners must set up equations to model the cost of fencing that includes posts and panels. They then determine the cost of a fence with a specific number of posts and panels.
Curated OER
Investigation: Linear Quadratic Systems
Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...
Curated OER
Solving Systems of Linear Equations: Extra Practice 31
In this math worksheet, students solve systems of two linear equations using either the substitution method or the elimination method. Seven of the twenty problems have a coefficient of one for one of the two variables.
Curated OER
Linear Equations x/a = c (B)
In this systems of equations practice activity, middle schoolers use their problem solving skills to solve 24 problems.
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
Curated OER
Systems of Equations
For this algebra worksheet, students solve systems of equations using matrices. There are 24 questions to be solved.
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...
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
Curated OER
Solving a System of Linear and Quadratic Equations
In this Algebra II worksheet, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic. The three page worksheet contains a combination of nine multiple choice and free...
Curated OER
Solving a System of Equations
For this Algebra II worksheet, 11th graders determine the solution to a system of one linear and one quadratic equation. The two page worksheet contains a combination of nine multiple choice and free response questions. ...
Curated OER
Linear Inequalities
In this linear inequalities worksheet, students solve and graph systems of inequalities on a coordinate plane. Examples and explanations are provided. This five-page worksheet contains 32 problems. Answers are provided at the end of...