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Systems of Linear Inequalities
In this Algebra I/Algebra II worksheet, learners solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system. The three page...
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Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra worksheet, learners complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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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...
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Solving Linear Systems by Linear Combinations
This worksheet offers six problems to practice solving simultaneous equations using the method of elimination. Start with systems that require multiplying only one of the equations. Then move to systems which require multiplying both...
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Solving Linear Systems by Graphing
A worksheet that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one...
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Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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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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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors activity, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page activity contains...
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Using Linear Algebra to Solve Systems of ODE's
For this math worksheet, students examine the coupled differential equations. Then they find the eigenvalues and eigenvectors for the 2x2 matrix.
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Definitions of Parabolas
In this algebra worksheet, 11th graders identify parts of a parabola and circle. They solve systems of equations and answer questions about radius, foci and conics. There are 20 questions on this test.
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Sixteen System of Quadratic Equations Problems
In this system of quadratic equations worksheet, learners solve twelve system of quadratic equations problems and state if the given point is a solution to the system in four problems. The solutions are provided.
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Topic 4.7 - Using Augmented Matrices
In this algebra worksheet, students solve each of the systems of equations using an augmented matrix. There are 8 problems to solve.
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Chapter 3.3 - Cramer's Rule
In this Cramer's rule worksheet, students solve 4 problems in which they find the determinant. They then solve 8 more problems in which they use Cramer's Rule to solve each system of equations.
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Rewriting Equations &Formulas
Practice with literal equations. Solve for one variable in terms of another. Find the value of y given specific values of x. This short worksheet would make a good warm-up activity at the beginning of class or a quick assessment at...
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Solving Quadratic Equations
In this ways to solve quadratic equations learning exercise, learners solve 19 equations using five different methods, then solve four more using the method of their choice.
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Solving Equations
In this solving equations instructional activity, 9th graders solve 24 different problems. First, they find the zeros of each function. Then, students solve each equation by factoring. They also solve each equation by completing the...
Inside Mathematics
Picking Apples
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
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Algebra 2 Test
In this algebra learning exercise, students solve problems involving functions, systems and conics. They simplify radicals and graph parabolas identifying the focus and ellipse. There are 20 questions.
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Linear Systems: Identifying Pivots and Multipliers
In this identifying pivots worksheet, students use algebra to find equivalent systems of equations. This four-page worksheet contains examples, explanations and approximately ten problems.
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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...
Mathematics Assessment Project
A Golden Crown?
For this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.
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Evaluating Expressions
In this evaluating expressions worksheet, 9th graders solve 10 different problems that include evaluating various forms of expressions. First, they evaluate the equations for the given values of x in each of the 4 boxes. Then, students...
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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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New York State Testing Program
In this state testing worksheet, students solve problems on a variety of topics studied throughout the year. They find the median, solve algebraic equations, solve proportions, simplify expressions, find percents, and complete...