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...
Concord Consortium
Systematic Solution I
Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge,...
Math Mammoth
Solving Linear Systems by Elimination
In this linear equation instructional activity, students solve systems of linear equations by elimination. Four of the 15 provided problems are word problems that students must write the system of equations. This is a one-page...
Curated OER
Systems of Equations
For this algebra worksheet, learners factor systems of equations using elimination and substitution. THey graph their lines and find the point of intersection. There are 15 questions.
CPM
Using Equal Values Method or Substitution
Math whizzes solve and complete 20 different problems. Problems are solved using the substitute, or the equal values method. Learners also create their own systems of equations based on word problems.
Curated OER
Systems of Equations 2
In this systems of equations worksheet, 9th graders solve and graph 9 different problems that apply the systems of equations. First, they solve each system of equations by using the graphing method. Then, students write the solution for...
Mathematics Assessment Project
Creating Equations
Using equations to model events. The resource contains four items that prompt individuals to write and solve basic equations. They must reason abstractly and quantitatively while attending to precision when solving the problems.
Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
Curated OER
Systems of Equations in Two Variables
In this algebra worksheet, students work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Students graph two systems to determine the solution.
Curated OER
Online Math Learning: Solving Word Problems Using Algebra
Learners solve eight short answer algebra word problems. They write and solve systems of equations in two or three variables given a word problem about integers, perimeter, consecutive numbers, etc.
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
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...
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...
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.
Illustrative Mathematics
Solving Two Equations in Two Unknowns
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning.
Curated OER
Writing Equations
In this writing equations worksheet, 9th graders solve and complete 20 different problems that include writing an equation and finding a solution for each problem. First, they read the problem through and write an equation that best...
Concord Consortium
The Line and the Ellipse
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
Curated OER
Systems of Two Equations
For this systems of equations worksheet, learners solve and complete 23 various types of problems. First, they solve each system of equations by graphing on the grids provided. Then, students solve each system by substitution and by...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Illustrative Mathematics
Cell Phone Plans
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
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.
Curated OER
Linear - Quadratic Systems
In this quadratic system worksheet, students solve systems of linear equations. This one-page worksheet contains two story problems where students write their own system of equations and then solve. The remaining eight problems are...
Curated OER
Setting Up Equations
In this setting up equations worksheet, students solve 4 different problems that include setting up the equations in each problem. They write out an equation or set up an equations that describe each given situation. Then, students state...
Curated OER
Systems and Applications
In this algebra worksheet, 11th graders solve 14 systems of equations using substitution or elimination and 14 word problems.