Curated OER
MP3 Purchase Plans
Use algebra to solve real world problems. Mathematicians practice use of graphs, tables, and linear functions to solve a problem regarding mp3 purchase plans. They work in groups to solve the problem and present their findings and...
Curated OER
Worksheet #7
In this maximum and minimum of values worksheet, students solve 4 problems, two of which are word problems, related to determining values of a given variable. First, they find the maximum value of P subject to its constraints. Then,...
101 Questions
Coin Counting
Cash in on a great resource. After watching a video of a coin counter, pupils estimate the number of coins and the amount of money they see. They then use additional given information and systems of equations to find the actual values.
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 4
Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear...
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Curated OER
Solving multi-step inequalities and solving systems by elimination
Young scholars solve multi-step equations and apply the process of elimination. For this algebra lesson, students solve linear inequalities and equations using linear combination and evaluation. They graph their results on a number...
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.
Concord Consortium
Intersections II
How many intersections can two absolute value functions have? Young scholars consider the question and then develop a set of rules that describe the number of solutions a given system will have. Using the parent function and the standard...
Curated OER
Linear Systems and Calories
Students define and graph properties of linear equations. In this algebra lesson, students write systems of equations to represent functions. They relate linear equations to the real world.
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
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
Systems of Linear Inequalities #5
In this systems of linear inequalities instructional activity, high schoolers solve 10 multiple choice problems about linear inequalities. Students determine the maximum and minimum values of systems of linear inequalities.
Alabama Learning Exchange
Systems on a Mission
Solve systems of equation problems using four different methods: elimination by addition or subtraction, graphing, elimination by multiplication, and substitution. Middle schoolers are then given a series of "missions" to complete.
Curated OER
Intersecting Graphs
Ninth graders know how to solve a system of linear equations, but what happens when the system involves an exponential function? The instructional slideshow teaches viewers to determine solutions to systems of equations with linear...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
PHET
Equality Explorer: Two Variables
Solving equations in two variables can't be that much harder than solving equations in one variable. Using a balance interactive, scholars solve equations in two variables. They apply inverse operations by adding -x, -y, or -1 as...
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
Solving Systems of Equations
Students identify the quadrants and axis of a coordinate plane. In this algebra lesson, students discover the ocrrect way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and range and...
Curated OER
Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
Curated OER
I Can Do This! Systems of Equations
Pupils solve systems of 2-by-2 linear equations using tables,
graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
Curated OER
Multivariable Calculus: Linear Systems
For this linear system worksheet, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...
Curated OER
Systems of Linear Inequalities
For this Algebra I/Algebra II worksheet, students solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system. The three page...