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EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Curated OER
Magic Squares, Simultaneous Equations, Hill Walking, and Diophantine Equations
In this solving equations learning exercise, 9th graders solve and complete 21 various types of problems. First, they use the method shown to find the value of xin each equation. Then, students use an algebraic approach to solve the...
Curated OER
Review of Systems of Equations
Students work to complete various algebraic equations using different methods. Given a word problem, students create a poster identifying the various parts of the equation as well as the solution to the problem. Posters are presented...
Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns. Scholars could find the answer algebraically or create a table to analyze the...
Curated OER
Academic Algebra 2 Test
In this algebra worksheet, 11th graders rewrite word problems using algebraic expressions. They solve problems using systems of equations. There are 14 problems on this worksheet.
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
GeoGebra
GeoGebra Graphing Calculator
So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.
Curated OER
Systems of Linear Equations
Introduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out lesson.
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Curated OER
Find A System
Learners must think critically about the graphical and algebraic forms of a system of linear equations in order to come up with their own system when given a point that is the solution to the system.
Curated OER
Numerical Analysis: Discrete Least Squares
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
Curated OER
Addition to Solve System of Linear Equations
In this algebra learning exercise, students solve system systems of equation. They use addition to solve the problems. There are 6 questions with an answer key.
Curated OER
What is a Solution to a System?
Learners define the solution to a system of equation. In this algebra lesson, students graph two line on the TI calculator and identify the point of intersection if there is any. They find one, zero or infinitely many solution and...
Virginia Department of Education
Road Trip
Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...
Curated OER
Setting Up Equations
In this setting up equations activity, 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
Algebraic Solutions
In this algebraic solutions worksheet, 9th graders solve 10 different sets of simultaneous equations. First, they solve one of the equations such that one variable is defined in terms of the other. Then, students take the new definition...
Curated OER
Points of Intersection
Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...
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...
Mathematics Vision Project
Module 4: Equations and Inequalities
Can you justify that mathematically? Help learners see the process of solving as using mathematical properties rather than a set of steps to memorize in the fourth module of a nine-part Algebra I series. The module contains six...
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
Curated OER
Equations and Systems of Equations
Students practice using algebra to be applied to real world situational problems. The key concepts of translation of language to algebraic expressions is covered. They also look in depth at relationships between different quantities.
Curated OER
Solving Equations By Systematic Trial
Studentss solve equations using guess and check. In this algebra lesson, students solve linear equation using the systematic trial. They isolate and identify the missing variable using non tranditonal methods.
Curated OER
Know the System
Students identify the different systems of equations. In this algebra instructional activity, students solve systems of equations using graphing, elimination and substitution. They use the Ti to graph their systems.