Cuemath
Cuemath: Linear Equations in Two Variables
A comprehensive guide for learning all about linear equations in two variables with definitions, how to solve them, solved examples, and practice questions.
Texas Education Agency
Texas Gateway: Solving Systems of Equations With Algebraic Methods
Given verbal and/or algebraic descriptions of situations involving systems of two-variable linear equations, the student will solve the system of equations by different methods.
Khan Academy
Khan Academy: Algebra: Constraint Solutions of Systems of Inequalities
Find the range of values of one variable that corresponds to a given value of the other variable in a system of two-variable linear inequalities. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
Illustrative Mathematics
Illustrative Mathematics: The Intersection of Two Lines
The purpose of this task is to introduce students to systems of equations. It takes skills and concepts that students know up to this point, such as writing the equation of a given line, and uses it to introduce the idea that the...
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...
Illustrative Mathematics
Illustrative Mathematics: A Rei, a Ced Cash Box
In this task, learners 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...
Khan Academy
Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations
Lesson 3 of 4 for Passport to Advanced Math. Students 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...
Illustrative Mathematics
Illustrative Mathematics: A Rei Pythagorean Triples
This task has two separate goals: the first is to solve a pair of equations, one quadratic and the other linear. The second goal is to observe that a point that lies on a circle gives rise to a Pythagorean triple. Aligns with A-REI.C.7.
PBS
Pbs Mathline: Stressed to the Breaking Point Lesson Plan [Pdf]
Students explore how much weight a spaghetti bridge can support and whether width and length matter. Printable lesson.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.3: Dimes and Quarters
This task requires students to recognize the pairs of linear equations in two variables that would be used to solve a given system of equations. Aligns with A-CED.A.3.
Texas Instruments
Texas Instruments: Boats in Motion
In this lesson, students make observations about the motion of a boat going up and down the river. They will solve the system of equations algebraically and graphically.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Quinoa Pasta 1
A type of pasta is made of a blend of quinoa and corn. The pasta company is not disclosing the percentage of each ingredient in the blend but we know that the quinoa in the blend contains 16.2% protein, and the corn in the blend contains...
Illustrative Mathematics
Illustrative Mathematics: A rei.c.6: Estimating a Solution via Graphs
The purpose of this task is to give students an opportunity use quantitative and graphical reasoning to detect an error in a solution. Aligns with A-REI.C.6.
Illustrative Mathematics
Illustrative Mathematics: 8.ee Summer Swimming
The local swim center is making a special offer. They usually charge $7 per day to swim at the pool. This month swimmers can pay an enrollment fee of $30 and then the daily pass will only be $4 per day. Aligns with 8.EE.C.8.c.