Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Find a System
The purpose of this task is to encourage students to think critically about both the algebraic and graphical interpretation of systems of linear equations. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: 8.ee How Many Solutions?
Eighth graders are given a linear equation and instructed to find a second linear equation in order to make a system of equations that fits different criteria related to its possible solutions. Aligns with 8.EE.C.8.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Sistemas De Ecuaciones Lineales
In Spanish. In this interactive unit learn how to identify, graph and solve linear equations with two unknowns.
Illustrative Mathematics
Illustrative Mathematics: A Rei Solution Sets
For this task, students are shown the graphs of two equations, with areas bounded by their lines and intersections shaded in different colors. They are asked to write a system of equations or inequalities for each shaded area and explain...
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Illustrative Mathematics
Illustrative Mathematics: A Rei Quinoa Pasta 2
For this problem, students must determine how much quinoa and how much corn are in a type of pasta. They must study the ingredient list which shows the protein content of the pasta. They know that quinoa has more protein than corn and...
Khan Academy
Khan Academy: Solutions of Inequalities: Algebraic
Given a two-variable linear inequality, check whether a given pair of values is a solution of the inequality. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Solutions of Inequalities Graphically
Given the graph of a two-variable linear inequality, check whether a given pair of values is a solution of the inequality. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or...
Illustrative Mathematics
Illustrative Mathematics: A Rei, a Ced Cash Box
In this task, students are asked to construct equations in two variables to determine whether a loose coin beside a ticket box belongs with the money collected for tickets. They must then explain their reasoning. Aligns with A-CED.A and...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Sistemas De Ecuaciones Lineales
In Spanish. Learn the algebraic language to represent and solve systems of two linear equations with two unknowns.
Khan Academy
Khan Academy: Systems of Equations With Elimination
Solve systems of equation with one-step elimination (e.g., x-values or y-values cancel each other out). Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Systems of Equations With Elimination Challenge
Solve systems of equations with multi-step elimination (e.g., a manipulation is needed in order for x-values and y-values to cancel each other out). Students receive immediate feedback and have the opportunity to try questions...
Khan Academy
Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations
Lesson 3 of 4 for Passport to Advanced Math. Learners will solve systems of equations in two variables in which one equation is linear and the other equation is quadratic or another nonlinear equation; relate properties of the function f...
Khan Academy
Khan Academy: Solutions of Systems of Equations
Verify whether a given pair of values is a solution to a system of equations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Illustrative Mathematics
Illustrative Mathematics: A Rei the Circle and the Line
Students are required to solve a system of equations in this task which will demonstrate their understanding of the correspondence between intersection points of the two graphs and solutions of the system. Aligns with A-REI.C.7.
Texas Instruments
Texas Instruments: Tracing Paper Inequalities
In this activity, students will graph systems of linear inequalities in two variables in the Cartesian coordinate plane and find their solutions.
CK-12 Foundation
Ck 12: Algebra: Testing Solutions for Linear Inequalities
[Free Registration/Login may be required to access all resource tools.] Write and solve linear inequalities.
ClassFlow
Class Flow: Applications Using Systems
[Free Registration/Login Required] This flipchart provides guided practice with word problems involving systems of equations and gives a brief review on solving systems of equations.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Systems of Nonlinear Equations
Learn how to solve a system of nonlinear equations using the substitution and the elimination methods. This tutorial offers definitions, problems and step-by-step solutions, and practice exercises for you to complete and check.
Illustrative Mathematics
Illustrative Mathematics: A rei.c.7 & a rei.d.10: A Linear and Quadratic System
The purpose of this task is to give students the opportunity to make connections between equations and the geometry of the graphs. Aligns with A-REI.C.7and A-REI.D.10.
Sophia Learning
Sophia: Equations for the Circle: Lesson 5
This lesson presents the standard form and the general form for the equation of a circle, and relates the two. It is 5 of 5 in the series titled "Equations for the Circle."
Sophia Learning
Sophia: Equations for the Circle: Lesson 3
This lesson presents the standard form and the general form for the equation of a circle, and relates the two. It is 3 of 5 in the series titled "Equations for the Circle."
Illustrative Mathematics
Illustrative Mathematics: A Rei Quinoa Pasta 3
For this problem, students must determine how much of a quinoa-based gluten-free pasta is actually quinoa. They must study the ingredient list and set up linear equations to solve the problem. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: A rei.c and a rei.a.1: Products and Reciprocals
The purpose of this task is to test student skills at converting verbal statements into two algebraic equations and then solving those equations. Aligns with A-REI.A.1 and A-REI.C.