The solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...

How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.

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,...

Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...

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...

In this linear programming worksheet, students solve and complete 6 different word problems related to programming. First, they define the variables in each problem and write a system of inequalities. Then, students graph the...

In this system of equations activity, students solve 1 system of equations.  Students determine how $106 is divided among four girls given various clues.

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...

In this systems of equations activity, 9th graders solve and graph 9 different problems that apply the systems of equations. First, they solve each system of equations by using the graphing method. Then, students write the solution for...

In this system of equations worksheet, students solve systems of equations. They plot functions and evaluate solutions as floating point numbers. This two-page worksheet contains 8 multi-step problems.

Can you solve an equation graphically? Absolutely! This Algebra II activity makes the connection between solving an absolute value equation and graphing two functions. Graphing absolute value functions is presented through the process of...

In this mixed equation and inequality worksheet, students solve various types of equations requiring the use of absolute value, system of equations, polynomials, and square roots. This three-page worksheet contains 60 algebra problems. ...

For this Algebra I/Algebra II worksheet, students use graphing to solve systems of linear inequalities.  The two page worksheet contains a combination of five multiple choice and free response questions.  Answers are...

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.

Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...

What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....

Apply systems of inequalities to a real-world problem. Here, scholars learn to graph solutions to systems of linear inequalities. To finish the lesson, they solve a problem involving burgers and cheeseburgers using a system of inequalities.

Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying...

Seven real-life math problems require the solving of simultaneous pairs of linear equations. Although a similar approach is taken for most of the problems, the topic of sports stadium concessions should keep the interest level high. As a...

In this Algebra I/Algebra II worksheet, learners use the elimination method to solve systems of linear equations.  The one page worksheet contains six multiple choice questions.  Answers are included. 

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.

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.

In this Algebra I/Algebra II worksheet, students solve word problems whose solution requires the use of a system of linear equations in two variables.  The two page worksheet contains a combination of ten multiple choice and free...

In this linear equation instructional activity, students solve systems of linear equations by elimination. Four of the 15 provided problems are word problems that students must write the system of equations. This is a one-page...