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Numerical Analysis: Using the QR Algorithm
In this QR algorithm worksheet, students use the QR algorithm to solve an over-determined system of equations. This two-page worksheet contains 11 problems.
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Matrices and Vectors
In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Solving Systems by Substitution
Learners solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
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Linear Systems and Echelon Forms
Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms lesson plan, 11th graders solve a linear system using elementary row operations. Students also describe the set...
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Simultaneous Equations Using Elimination
Students solve a system of two unknowns. In the Algebra lesson plan, students use a on line computer applet/program to solve a system by the elimination method. The student's work is self checking, giving immediate...
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Algebraic Solutions
In this algebraic solutions activity, 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...
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System of Linear Equations - Word Problems
In this algebra worksheet, students analyze word problems, define variables, set up a system of linear equations, and solve the system. There are 7 questions.
Virginia Department of Education
Spring Fling Carnival
Think critically — and linearly by applying linear equations to solve real-world problems. Young mathematicians write equations to model the profit on popcorn and cotton candy at a carnival and solve problems using these equations.
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Linear Systems
In this linear systems worksheet, students solve and complete 10 different problems that include writing each as a linear equation. First, they write the systems of linear equations represented by each matrix equation. Then, students...
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Linear Functions-Learn Your Lines
Students solve and graph linear equations. In this algebra instructional activity, students collect and plot data on a coordinate plane. They use the CBL and TI calculator to graph systems of equation.
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Math Applications 1
For this systems of equations worksheet, students solve 5 different word problems that include writing an equations and solving it by applying a system of equations. First, they write an equation that when solved will give the required...
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Math 214 Quiz 10 - Linear Systems
In this linear systems worksheet, students find the parameter of a given matrix, and solve linear systems. This two-page worksheet contains four problems.
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Linear Equations x/a = c (B)
For this systems of equations practice worksheet, middle schoolers use their problem solving skills to solve 24 problems.
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How Much Does Sibyl Dibble Get Paid Per Hour?
In this problem solving word problems, students determine how much a person makes per hour. The solution is provided. Students can solve this problem in several ways.
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Seven Advanced Algebra Problem Sets
In this advanced algebra worksheet, students solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method.
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Spreadsheet Function Machine
Students create a spreadsheet to analyze functions. For this algebra lesson, students use spreadsheets to find the intersection of systems of equations. They identify the dependent and independent function as it relates to a line.
101 Questions
Downloading
Have you ever wanted to download a great lesson, but you weren't sure if you had enough time? Scholars learn to create a function for this situation to determine when a file will finish downloading. They also learn the difference between...
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Chemical Equations
In this chemical equations worksheet, students write mass balance equations and charge balance equations. Students write the system of equations to solve for solution concentrations at equilibrium. This worksheet has 21 problems to solve.
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Solutions, Solutions, Could it Be?
Students graph and solve linear system of equations. In this algebra lesson, students use algebraic and graphing methods to solve their systems. They find the point of intersection for their solution and draw inference from their data.
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Academic Algebra II 1st Semester Exam
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse...
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Polynomial Word Problems
In this polynomial word problem learning exercise, learners read story problems, write a system of equations, and solve using substitution. This one-page learning exercise contains ten problems.
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The Elimination Method
Tenth graders investigate the Elimination Method in the solving of equations. They solve the equation using this method in examples with the teacher and then transfer the new knowledge to independent practice.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, learners execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
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Linear Systems: General Solutions
In this linear system instructional activity, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page instructional activity contains approximately...