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The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Curated OER
Graphing Systems of Inequalities
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
Curated OER
GSE Foundations of Algebra: Equations and Inequalities
Need lessons on writing and solving one- and two-step linear equations and inequalities, as well as systems of equations? This comprehensive 106-page module from the Georgia Department of Education contains many different lessons for a...
Curated OER
Topic 3.5 & 3.6: Linear Programming
In this linear programming worksheet, students define variables and write a system of inequalities for the given situation. They model the solution through graphing. This two-page worksheet contains six multi-step word problems.
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Comparing Value for Money: Baseball Jerseys
Learners step up to the plate as they first complete an assessment task using linear equations to determine the best company from which to buy baseball jerseys. They then evaluate provided sample responses identifying strengths and...
Charleston School District
Solving Systems Graphically
When guess and check gets old, it's time to start graphing! An instructive lesson explains how to solve a system of linear equations using graphing. Equations are in both slope-intercepts and standard form.
Curated OER
Graphing Linear Equations
In this math learning exercise, students practice solving systems of linear equations using the elimination and substitution methods. They also graph the solutions.
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Integrated Algebra Practice: Systems of Linear Equation Word Problems
In this systems of equations learning exercise, students solve 10 short answer problems. Students write and solve systems of equations given a word problem.
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Algebra 1, Unit 7, Lesson 8: Practice Finding the Equation of a Line
Students solve systems of linear equations by graphing. The introduction of the lesson asks students to work in pairs or small groups to graph a line when given two points. Students graph 14 equations on the same coordinate grid to...
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
Solving Systems of Linear Equations
In this systems of linear equations worksheet, students use both the elimination and the substitution methods to solve 20 problems involving systems of two linear equations.
Curated OER
Linear Equations
For this linear equations worksheet, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of the line to...
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Graphing Linear Equations on the TI
Students graph linear equations on the TI calculator. In this algebra lesson, students rewrite equations in the slope intercept form and use the calculator to graph their problem. They work together to interpret the graphs off of the TI.
Curated OER
Linear Systems: Reduced Row Echelon Matrix and Rank
Students find the nullspace of the three matrices by finding the reduced row echelon matrix for each in this activity. They convert three matrices to reduced row echelons and show they have only one pivot. Students find the rank of three...
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Linear Systems/ LU Decomposition
In this math instructional activity, students find the values by factoring a matrix A into the product of a lower triangular matrix L. They also make it into an upper matrix U.
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Secret Messages and Matrices
Students use matrices and linear equations to decrypt a secret message. They receive a part of the encoded message to decode by means of inverse matrices. Pupils write critiques about the activity.
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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 instructional activity, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
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Systems of Linear Equations
In this systems of equations activity, students complete 14 multiple choice questions involving systems of equations and finding how many solutions belong to a set of systems.
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System of Linear Equations
In this math worksheet, students solve for the systems of linear equations. They graph the equations and use the method of substitution.
Mathematics Vision Project
Module 2: Systems of Equations and Inequalities
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
Curated OER
Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In 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...
Curated OER
Solving Linear Equations
Use this activity 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...
Curated OER
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...
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