How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...

Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....

High schoolers model quadratic and linear equations. In this algebra instructional activity, students solve word problems using equations. They create scatter plots and make predictions using correlations.

Teaching linear function relationships using contextual information is beneficial to pupils' understanding. The lesson uses problem solving to build linear functions given different information for each problem. This is the second...

Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...

Class members connect engineering with an understanding of linear programming using a technical resource. Scholars learn about linear programming (linear optimization) and how it applies to engineering design in the first of two modules....

This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...

There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...

Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.

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...

Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions. 

Test your class, or use this 12 page math packet as chapter review. They solve 21 multiple choice problems which require them to graph linear equations, find the volume of prisms and cones, find unknown angles, and determine...

Not all linear functions are linear transformations — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...

Where did all the variables go? Scholars learn how to interpret an equation when they eliminate all variables during the solving process. They interpret the solution as infinite solutions or no solutions. 

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...

Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...

In this linear equations worksheet, 8th graders solve 10 different problems that include various types of linear equations. First, they write the distance between Venus and the Sun in scientific notation. Then, students determine the...

In this algebra worksheet, students solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option...

Here is a linear equations worksheet in which learners problem solve and calculate the answers to twenty linear equations with various variables.

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.

In this solving equations worksheet, students solve twenty one-step linear word problems and linear equations.  The solving linear equations problems are broken down into five steps each.

In this algebra worksheet, students analyze word problems, define variables, set up a system of linear equations, and solve the system.  There are 7 questions.

In this scatter plot worksheet, students examine tables and write a linear equation that matches the table.  Students graph linear equations.  They read scatter plots, determine the trend line, and write a linear equation to...

Take a look at linear functions in a new environment. A three-stage algebra project first asks learners to model the salt concentration of an aquarium using linear functions. Then, using iterations, pupils create a set of input-output...