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,...
Curated OER
Solving Polynomial Equations
This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
Curated OER
Linear Graphs and Equations 5.1
In these identifying coordinates on a grid, linear graphs, and equations worksheets, 6th graders draw the shapes and letter, complete a table and use it to draw a graph, calculate gradients of lines, determine equations of lines, solve...
Curated OER
Linear Equations
In this Algebra I/Algebra II worksheet, students write the equation of a line given the coordinates of two points on the line. The one page worksheet contains a combination of three multiple choice and free response...
Curated OER
Points of Intersection
Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...
Curated OER
Linear Equations
In 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 worksheet, students solve linear inequalities. They graph their solution on a coordinate plane. There are 6 questions with answer key.
Inside Mathematics
Picking Apples
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
Education Development Center
Points, Slopes, and Lines
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Curated OER
Linear Inequalities in Two Variables
Use this activity as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
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...
California Education Partners
T Shirts
Which deal is best? Learners determine which of two companies has the best deal for a particular number of shirts. They begin by creating a table and equations containing each company's pricing structure....
Concord Consortium
The Line and the Ellipse
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors instructional activity, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page...
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
Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
Curated OER
Seven Advanced Algebra Problem Sets
In this advanced algebra learning exercise, learners solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method.
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
Curated OER
Systems of Equations
In this Algebra 2 instructional activity, students solve systems of equations and inequalities then graph the solutions on a number line. There are 11 problems to solve.
Curated OER
Long Distance Phone Plans
In this long distance phone plane worksheet, students compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They write...
Curated OER
Addition to Solve System of Linear Equations
In this algebra worksheet, students solve system systems of equation. They use addition to solve the problems. There are 6 questions with an answer key.
Curated OER
Systems of Equations
In this algebra worksheet, learners solve systems of equation through graphing, linear combination and substitution. There are 3 questions.