Virginia Department of Education
Factoring for Zeros
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
Balanced Assessment
Alcohol Level
How long does it take alcohol to leave your system? Individuals explore this question by examining a polynomial function. They draw conclusions by analyzing the key features of the given polynomial function.
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Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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An Introduction to Polynomial Functions
In this introduction to polynomial function worksheet, students classify, state the degree, find the intercepts, and evaluate polynomial functions. Six of the problems are true/false problems and thirty-eight and free-response problem...
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Piecewise-Defined Functions 2
In this Piecewise-Defined function worksheet, 10th graders identify the function for a given graph. Additionally, they find the y-intercept, y-intercept, domain, range and interval of each function. Students solve this information for...
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Piecewise-Defined Functions 1
In this piecewise-defined function, young scholars explore the graph of given functions and match it to the proper equation. They identify the x and y-intercepts, domain, range, and interval of each function. There are approximately ten...
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Solving Various Algebraic Equations for Real and Imaginary Roots
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
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Roots of Polynomial Functions
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
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Quadratic Equations
In this algebra worksheet uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided.
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Graphing Lines & Finding Intercepts 1
For this graphing lines worksheet, students examine given linear equations. They graph each linear equation, and identify the x and y-intercept of each problem. Students create six graphs of given equations.
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Using a "Natural Function" not a equation to discuss derivatives
In this derivative worksheet, students relate the concept of the derivative to the "real world" model of seasons. Students are then asked to discuss zeros, increasing values, decreasing values, and critical values of this model. ...
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Rational Functions
In this rational functions activity, students identify rational functions. They find the domain and range of each function. Students find the x and y-intercepts of functions. This two-page activity contains 35 multip-step problems.
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Discriminating Against the Zero
Students explore the concept of quadratic equations. In this quadratic equations instructional activity, students find the roots or zeros of quadratic equations using the quadratic formula. Students give examples of functions with 2...
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Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, young scholars explore the concept of complex roots. Students determine if parabolas have real or complex roots. Young scholars determine the the axis of symmetry and the...
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More on Factors, Zeros, and Dividing
Students explore the concept of finding zeros of polynomials. In this finding zeros of polynomials worksheet, students find the zeros of polynomials given one zero. Students factor and find all the zeros of 18 polynomials.
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Solving Quadratic Equations by Factoring
In this solving quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they graph each quadratic equation by factoring. Then, students find the axis of symmetry and the vertex. They also find...
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Factoring Polynomials
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
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Graphing Applications
In this graphing applications worksheet, learners derive equations for 4 word problems. Students then define variables, find intercepts, graph the equations, and interpret the slopes.
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Graphing a Rational Function
In this graphing rational functions worksheet, students find the domain, asymptotes, intercepts and graph a given rational function. A grid for the graph is provided.
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Linear Equations
In this linear equation worksheet, students answer 10 multiple choice questions involving writing the equation of lines and identifying linear equations in the coordinate plane.
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Graphing Linear Equations
In this linear equations worksheet, students graph 2 linear equations using x- and y- intercepts. Students then graph 2 additional equations using the slope and y-intercept method.
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X-Intercepts
In this x-intercepts, students explore the equations of a line, set "y" equal to zero to determine the x-intercept. Explanations and examples are provided. This two-page worksheet contains ten problems.
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More On Graphing Linear Equations
In this linear equation worksheet, students graph linear equations and identify the x or y-intercept. There are nine graphing equations on this two-page worksheet.
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More Graphing With Intercepts
In this graphing worksheet, students graph linear equations. They identify the x or y-intercept. Coordinate planes are available below each equation. Nine problems are provided on this two-page worksheet.