Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...

An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...

The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...

In this linear programming activity, learners 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 inequalities...

Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...

In this linear equations worksheet, 9th graders solve and complete 7 different problems that include a number of linear equations. First, they determine the slope given the points and then write an equation in slope-intercept form. Then,...

In this graphing lines worksheet, students examine given linear equations. They graph each linear equation, and identify the x and y-intercept of each problem. Students create six graphs of given equations.

What's so special about slope? Pupils first match cards with slope and y-intercept to graphs of linear equations. They continue the lesson by matching equations in slope-intercept form to the same graphs.

Let's give parameters a second try. Scholars take a second look at a system of linear equations that involve a parameter. Using their knowledge of solutions of systems of linear equations, learners describe the solution to the system as...

In this linear equations worksheet, students read and interpret graphed linear equations.  They read a story problem, write a linear equation, and plot the points on a coordinate plane.  This five-page worksheet cotnains 12...

In this Algebra I/Algebra II worksheet, students use graphing to solve a system of linear equations.  The one page worksheet contains one multiple choice question.  Answer is included.

Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.

Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question. 

An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the...

In this solving linear systems by graphing worksheet, 6th graders use graphs to solve positive and negative linear equations. Students solve four problems.

In this problem solving worksheet, 6th graders solve 4 sets of linear system equations involving addition and subtractions by graphing out the answers to each equation.

In this algebra learning exercise, 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.

In this ordered pair and linear systems worksheet, students problem solve two equations involving ordered pairs and solving linear systems by graphing.

For this graphing lines worksheet, students graph lines that are in the point-slope form.  They identify the y-intercept and the slope.  They graph the equation of a line on a coordinate plane.  This four-page...

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...

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...

This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...

With 30 problems, each accompanied by a blank graph, pupils get thorough practice solving systems of equations by graphing and finding the point of intersection. Answers are provided in coordinate form.

In this graphing lines worksheet, high schoolers graph 28 lines given various data.  Students graph lines given two points, a point and slope, and a line perpendicular or parallel to a point.