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Curated OER
Solving Systems of Linear Equations: Elimination Method
In this linear equation worksheet, students solve systems of equations by using the elimination method. This one-page worksheet contains eight problems, with answers.
Illustrative Mathematics
The Intersection of Two Lines
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...
Curated OER
Solve Linear Systems by Substitution
In this linear systems worksheet, students use the substitution method to solve systems of equations. This one-page worksheet contains two multi-step problems.
Curated OER
Linear Programming
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...
Curated OER
Algebra 2 Test
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.
West Contra Costa Unified School District
Solving a System by Substitution
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...
Curated OER
Integrated Algebra Practice: Systems of Linear Equation Word Problems
In this systems of equations worksheet, students solve 10 short answer problems. Students write and solve systems of equations given a word problem.
Curated OER
Topic 3.2 - Solving Systems of Equations Algebraically
In this algebraic equation worksheet, students solve 6 systems of equations using substitution. They then solve 6 more in which they use elimination.
EngageNY
Word Problems
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...
EngageNY
Nature of Solutions of a System of Linear Equations
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...
Curated OER
Tale of the Tape
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.
Curated OER
Dental Impressions
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....
Concord Consortium
Systematic Solution II
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...
Noyce Foundation
Miles of Tiles
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,...
Achieve
Ground Beef
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...
Curated OER
Least Squares
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...
Curated OER
Elimination Using Addition and Subtraction
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.
Curated OER
Minima/Maxima
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...
Curated OER
Topic 3.3: Cramer's Rule
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.
Mathed Up!
Solving Simultaneous Equations Graphically
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,...
Charleston School District
Graphing with Slope-Intercept Form
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...
Mathematics Assessment Project
Best Buy Tickets
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.
Concord Consortium
Three Circles
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...
Curated OER
Academic Algebra II Test Chapter 4
For this algebra worksheet, students solve systems of equations. They evaluate matrix problems and identify the determinant. This two-page worksheet contains 13 problems.