Lesson Plan
Curated OER

Solving Systems of Linear Equations: Elimination Method

For Teachers 9th - 11th
In this linear equation worksheet, students solve systems of equations by using the elimination method. This one-page worksheet contains eight problems, with answers.
Lesson Plan
1
1
Illustrative Mathematics

The Intersection of Two Lines

For Teachers 7th - 9th Standards
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Lesson Plan
Curated OER

Solve Linear Systems by Substitution

For Teachers Higher Ed
In this linear systems worksheet, students use the substitution method to solve systems of equations. This one-page worksheet contains two multi-step problems.
Worksheet
Curated OER

Linear Programming

For Students 10th - 12th
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...
Worksheet
Curated OER

Algebra 2 Test

For Students 10th - 11th
For this algebra 2 worksheet, students solve 13 systems of equations where they must identify and solve problems using matrices. This would be a great review worksheet.
Lesson Plan
West Contra Costa Unified School District

Solving a System by Substitution

For Teachers 8th - 10th Standards
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Worksheet
Curated OER

Integrated Algebra Practice: Systems of Linear Equation Word Problems

For Students 9th - 12th
In this systems of equations worksheet, students solve 10 short answer problems. Students write and solve systems of equations given a word problem.
Worksheet
Curated OER

Topic 3.2 - Solving Systems of Equations Algebraically

For Students 8th - 10th
In this algebraic equation worksheet, students solve 6 systems of equations using substitution. They then solve 6 more in which they use elimination.
Lesson Plan
EngageNY

Word Problems

For Teachers 8th Standards
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...
Lesson Plan
EngageNY

Nature of Solutions of a System of Linear Equations

For Teachers 8th Standards
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...
Activity
Curated OER

Tale of the Tape

For Teachers 9th - 12th Standards
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.
Assessment
Curated OER

Dental Impressions

For Teachers 7th - 10th Standards
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....
Assessment
Concord Consortium

Systematic Solution II

For Students 10th - 11th Standards
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...
Activity
Noyce Foundation

Miles of Tiles

For Students K - 12th Standards
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,...
Assessment
Achieve

Ground Beef

For Students 7th - 10th Standards
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...
Worksheet
Curated OER

Least Squares

For Students 12th - Higher Ed
For this least squares worksheet, 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 slope and...
Worksheet
Curated OER

Elimination Using Addition and Subtraction

For Students 10th - 12th
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.
Worksheet
Curated OER

Minima/Maxima

For Students 10th - 12th
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...
Worksheet
Curated OER

Topic 3.3: Cramer's Rule

For Students 10th - 12th
In this Cramer's Rule instructional activity, students use Cramer's Rule to solve system of equations. They identify the value of each given determinant. This one-page instructional activity contains ten multi-step problems.
Assessment
Mathed Up!

Solving Simultaneous Equations Graphically

For Students 8th - 11th Standards
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,...
Handout
Charleston School District

Graphing with Slope-Intercept Form

For Students 8th - 9th Standards
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...
Assessment
Mathematics Assessment Project

Best Buy Tickets

For Students 9th - 12th Standards
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.
Assessment
Concord Consortium

Three Circles

For Students 9th - 12th Standards
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...
Worksheet
Curated OER

Academic Algebra II Test Chapter 4

For Students 9th - 10th
For this algebra worksheet, students solve systems of equations.  They evaluate matrix problems and identify the determinant.  This two-page worksheet contains 13 problems.