Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
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Real World Systems of Linear Equations
Students solve systems of equations with fluency. In this algebra activity, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
National Security Agency
Systems of Equations and Inequalities
High school classes can use manipulatives too! Offer hands-on, interactive lessons that venture away from the typical day in your algebra class. Young mathematicians will be involved in collaborative learning, visual representations, and...
Curated OER
Solving Systems of Equations
Students, using algebraic operations, solve and check linear equations. At the beginning of class, they write a paragraph comparing the solving of math problems to solving real life problems. Students observe solving systems of two...
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,...
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Solving by Substitution or Elimination
In this algebra worksheet, students solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option...
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...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 4)
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum covering...
Curated OER
Linear Systems: Graphical Interpretation of Vectors and Linear Systems
For this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
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Linear Systems: Using Matrix Operations
In this linear systems worksheet, learners use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...
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Solving Linear Equations
Use this worksheet for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
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System of Linear Equations - Word Problems
For this algebra worksheet, students analyze word problems, define variables, set up a system of linear equations, and solve the system. There are 7 questions.
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Example and Steps to Solving Linear Systems Using Substitution
In this linear equation activity, students solve five systems of linear equations using the substitution method. Three examples with steps to solve are provided.
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Algebra II: Chapter 7 Test - Systems of Equations
In this systems of equations worksheet, students solve systems of equations, systems of inequalities, and linear equations. They read word problems and write a system of equations that depicts the problem. this two-page worksheet...
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Systems of Word Problems
Ninth graders investigate systems of linear equations. In this Algebra I lesson, 9th graders explore word problems that can be solved by using a system of equations. The problems involve such topics as cell phone usage, gym...
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Quick Graphs of Linear Equations
Graph equations of lines using the slope-intercept method or by plotting both x and y intercepts. Determine if two lines are parallel or perpendicular by comparing their slopes. This handout includes step-by-step directions and four...
Curated OER
I Can Do This! Systems of Equations
Students 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.
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Systems of Equations in Two Variables
In this algebra worksheet, students work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Students graph two systems to determine the solution.
CK-12 Foundation
Problem-Solving Models: Subway vs. Taxi
Ride to success in understanding systems of equations. Scholars graph a system of equations on the cost of a subway and a taxi using an interactive. Using this graph allows users to answer some questions about the situation.
Curated OER
Topic 2: Graphing 2-Variable Linear Equations
Students explore the concept of 2-variable equations and expressions. In this 2-variable equation and expression lesson, students translate 2-variable word problems into 2-variable equations and expressions.
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 equations. To...
Curated OER
Solving Linear Inequalities
Walk the class through the steps of how to evaluate linear inequalities in one variable and graph the solution set. Define and discuss key vocabulary terms, then have individuals work problems of varying difficulty. Included are word...