Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...

If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...

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.

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....

Up the difficulty level by solving a system of equations with variable coefficients. Young scholars devise a plan to solve for x and y in terms of a and b. They represent their solutions as expressions and explain their...

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,...

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...

In this least squares learning exercise, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the...

Students solve systems of equations with fluency. In this algebra lesson, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.

In this systems of equations worksheet, students use the elimination method to solve systems of equations. An example and explanation is given at the beginning of the worksheet. This one-page worksheet contains ten problems.

Students solve systems of equations. In this algebra instructional activity, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.

In this minima/maxima worksheet, students solve systems of equations, identify the first derivative of a quadratic equation, and find the critical point in an equation. Using Excel worksheets, students graph four equations. There are...

Students factor and solve systems of equation. In this algebra lesson plan, students identify the point of intersection using substitution, elimination and graphing. They write an equation given a system and a graph.

In this Cramer's Rule worksheet, students use Cramer's Rule to solve system of equations. They identify the value of each given determinant. This one-page worksheet contains ten multi-step problems.

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,...

Work on graphing linear equations using the provided materials. The print and video lesson thoroughly review the concepts related to graphing linear equations in slope-intercept and standard form. The materials prepare learners for...

Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...

Everyone wants the best price when shopping — no matter what they are trying to buy. Given pricing information, pupils must solve a system of equations to determine the best option for printing tickets.

Round and round and round we go. Given a diagram of three circles, two of which share a point with the third circle, learners identify the radius of each circle. Doing so requires setting up and solving a system of equations based on the...

Students solve systems of equations with radical expressions. After reading real life situation, they translate the problem into algebraic expressions. As a class, students solve quadratic equations and inequalities by graphing and...

In this algebra worksheet, students solve systems of equations.  They evaluate matrix problems and identify the determinant.  This two-page worksheet contains 13 problems.

For this linear systems worksheet, 9th graders solve and complete 24 different problems that include solving various linear systems. First, they read through each example and define the two methods described for solving linear systems of...

Eighth and ninth graders combine pairs of linear equations by multiplying and either adding or subtracting. They find the value of x in the pair of equations. They use substitution to find the value of y. Students use graphing to solve...

In this linear equation worksheet, student read word problems and write and algebraic equations. They use systems of linear equations to solve the problem. This one-page worksheet contains six problems, with answers.