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...
Mathematics Assessment Project
Buying Chips and Candy
As a middle school assessment task, learners first two write equations representing their purchase of chips and candy bars. They then solve the system of equations to find the price of each item.
Curated OER
Solving Linear Systems by Substitution
Need a worksheet to reinforce using substitution to solve linear systems of equations? This one contains 4 problems and plenty of work space. Tip: This would be a great quick review, warm up, or pair exercise.
Curated OER
Systems of Equations
In this Algebra 2 worksheet, students solve systems of equations and inequalities then graph the solutions on a number line. There are 11 problems to solve.
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
CK-12 Foundation
Linear Equations: Temperature Transitions
Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the...
Curated OER
Math 212: Review of Linear Systems
In this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page instructional activity contains four problems.
Curated OER
Linear Systems Review for Exam 1
In this math instructional activity, students practice reviewing for the exam that focuses upon the concept of linear systems. They draw a concept map for the review topics listed.
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Solving Linear Systems by Substitution
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...
Curated OER
Solving Linear Systems
In 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...
Curated OER
Solving a System of Equations
In this Algebra II worksheet, 11th graders determine the solution to a system of one linear and one quadratic equation. The two page worksheet contains a combination of nine multiple choice and free response questions. ...
Curated OER
Solve Linear Systems of Equations: Graphing, Substitution, and Elimination
In this system of linear equations worksheet, students solve by using graphing, substitution, and elimination. There are 44 problems.
Curated OER
MA 371 - Linear Equations 1
In this linear equations worksheet, students solve 8 short answer problems. Students write augmented matrices given a system of equations in two and three variables. Students express their answers using an augmented matrix in reduced row...
Texas Instruments
Making Predictions Using Systems of Equations
Students explore the concept of systems of equations. In this system of equations lesson, students enter data into lists on their calculators about 100 meter dash times. Students plot the points using a scatter plot and perform a linear...
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
Graphing Linear Equations
In this math instructional activity, students practice solving systems of linear equations using the elimination and substitution methods. They also graph the solutions.
Curated OER
Graphing Linear Equations
In this graphing worksheet, students solve systems of linear equations by graphing on a coordinate plane. Given specific coordinates, students determine the line of intersection. This one-page worksheet contains ten problems.
Curated OER
Writing and Graphing Linear Equations on a Flat Surface
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
Curated OER
Investigation: Linear Quadratic Systems
Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...
Curated OER
Linear Programming
In this algebra worksheet, students calculate the maximum and minimum of a shaded region. They identify the boundaries and their vertices's. There are 2 problems.
Curated OER
Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
Mathematics Assessment Project
Representing Inequalities Graphically
A new, improved version of the game Battleship? Learners graph linear inequalities on the coordinate plane, then participate in a game where they have to guess coordinate points based on the solution to a system of linear...
Curated OER
Extra Practice 3.2: Solving Systems of Equations
In this systems of equations worksheet, students solve 26 short answer questions. Students use substitution and linear combination to solve each system of equations.
Curated OER
Practice solving systems of equations
Eleventh graders solve systems of equation. In this algebra lesson, 11th graders find the point of intersection of two lines if there is any, using algebra and graphing. They use substitution and linear combination to find the solution...