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Absolute Value Equations and Inequalities
Demonstrate the meaning of an absolute inequality using three different methods. Here, scholars explore absolute value inequalities through graphing, number line distance, and compound inequalities. Pupils complete various activities to...
Teach Engineering
Applications of Linear Functions
It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...
Inside Mathematics
Vencent's Graphs
I like algebra, but graphing is where I draw the line! Worksheet includes three multiple-part questions on interpreting and drawing line graphs. It focuses on the abstract where neither axis has numbers written in, though both are...
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Curated OER
Academic Grade 9 Assessment of Mathematics: Algebra I and Geometry
Test your class, or use this 12 page math packet as chapter review. They solve 21 multiple choice problems which require them to graph linear equations, find the volume of prisms and cones, find unknown angles, and determine...
Statistics Education Web
The United States of Obesity
Mississippi has both the highest obesity and poverty rate in the US. Does the rest of the data show a correlation between the poverty and obesity rate in a state? Learners tackle this question as they practice their skills of regression....
Curated OER
Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria.
Curated OER
Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
University of Utah
Representations of a Line
Line up to learn about lines! Scholars discover how to express patterns as linear functions. The workbook then covers how to graph and write linear equations in slope-intercept form, as well as how to write equations of...
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
Paying the Rent
Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...
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
Graphing Linear Equations
In this math worksheet, students practice graphing the linear equations on the Cartesian plane. They also create a function table for each.
Curated OER
Systems of Equations (Systems Project Part 1)
In this systems of equations worksheet, high schoolers identify and explore three ways to solve systems of equations: graphing, substitution, elimination. They discuss the strengths, weaknesses, and write an algorithm for...
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
Linear Equations
Pre-algebra pupils examine the rate of change and how we can interpret it as a linear function. They are introduced to slope-intercept equations and graphs. Plenty of instruction is provided along with example problems. Note that even...
Curated OER
Introduction to Graphing
In this graphing worksheet, students graph linear equations on a coordinate plane. Students identify the slope and y-intercept of each problem, find the midpoint of a line, and the distance between given points. Given an equation,...
Curated OER
Using a Graph to Solve a System of Linear Equations
In this Algebra I/Algebra II worksheet, students use graphing to solve a system of linear equations. The one page worksheet contains one multiple choice question. Answer is included.
Curated OER
Graphing Linear Inequalities
In this graphing instructional activity, learners solve and graph linear inequalities on a coordinate plane. Inequalities contain one variable. The solution set is sketched and colored. This instructional activity contains eight...
Curated OER
Linear Inequalities
In this linear inequalities worksheet, students solve and graph systems of inequalities on a coordinate plane. Examples and explanations are provided. This five-page worksheet contains 32 problems. Answers are provided at the end of...
Curated OER
Graphing Linear Equations
In this Algebra I learning exercise, 9th graders write the equation of a line given the slope and the y-intercept and determine the equation of a line given the graph. The five page learning exercise contains twenty-eight...
Inside Mathematics
Printing Tickets
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
Curated OER
The Cartesian Plane
Learners solve and complete 22 various types of problems. First, they find the gradients of the lines and plot the given points. Then, they complete the table of values for each equation and use the table to draw the graph.
Achieve
Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...