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Optional Power Series Problems

For Students Higher Ed
In this power series worksheet, students use substitution, polynomial multiplication, polynomial division, differentiation, and integration to find numbers in a series. They write each Maclaurin series as a simple function. This one-page...
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Test 4: Exponential Notation

For Students 9th - 11th
In this exponential notation worksheet, students solve problems involving exponential notation, and simplify polynomial equations. There are 25 problems on this three-page practice test. An answer sheet is included.
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Completing the Square

For Students 9th - 10th
In this polynomial worksheet, students complete the square of a given problem. Explanations and examples are provided. This two-page worksheet contains ten problems.
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The Discriminant

For Students 9th - 12th
In this discriminant worksheet, students use the discriminant to determine the number of roots a polynomial contains. Explanations and examples are provided prior to the exercise. This two-page worksheet contains ten problems.
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Graphing

For Students 11th - 12th
In this graphing worksheet, students sketch graphs of given polynomial equations. They draw line graphs to show sign changes in specified forms. This one-page worksheet contains ten problems. Answers are provided at the bottom of the...
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Integrated Algebra Practice: Evaluating Expressions

For Teachers 9th - 12th
In this evaluating expressions worksheet, high schoolers solve 10 short answer and multiple choice questions. Students evaluate absolute value, polynomial, and exponential expressions for a given value.
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Common Monomial Factors

For Students 8th - 10th
In this algebra instructional activity, students identify common monomials. They factor polynomials and simplify equations. There are 2 questions with an answer key. 
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Graphing Nonlinear Equations

For Teachers 6th - 7th
Learners graph non-linear equations. In this algebra instructional activity, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.
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Introduction To Functions

For Teachers 8th - 10th
Students define a functions and solve problems using functions. In this algebra lesson, students differentiate functions from non-functions. They differentiate between polynomials of higher degrees.
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Iterating the Function and Complex Numbers

For Teachers 7th - 10th
Students identify the end behavior of polynomial graphs. In this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
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Effects of Parameter Changes

For Teachers 8th - 10th
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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Simplifying Rational Expressions

For Students 8th - 9th
In this algebra worksheet, students simplify fractions involving variables and coefficients. Students must factor polynomials to find common factors in 20 of the problems.
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Math 321 Spring 98. Complex Numbers

For Students Higher Ed
In this complex numbers activity, students find the solutions to polynomials and write them in rectangular and exponential form. This two-page activity contains two problems.
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Visualizing Taylor Series and Fourier Series Approximations

For Students 11th - Higher Ed
In this math instructional activity, students read the examples of the Taylor series and geometric series. Then they investigate the application of examining the Taylor polynomials.
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Adding/Subtracting Rational Expressions

For Students 8th - 10th
For this adding and subtracting rationals worksheet, students find common denominators and solve 26 computation problems. Denominators are polynomials and fractions.
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Using Long Division

For Students 8th - 10th
In this algebra worksheet, students divide polynomials using long division. They write the answer in fractional form. There are 30 questions.
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Meaning of Power

For Teachers 9th - 11th
Students graph exponential and power functions. In this statistics lesson, students test a specific hypotheses and draw conclusion. They use the graph of polynomials to test and draw their conclusions.
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Factorizing

For Students 9th - 10th
In this math learning exercise, students factor quadratic expressions into binomials. Each quadratic expression is in the form x^2 +/-bx+/-c. The first set involves only addition. On the second page, each quadratic equals zero and...
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Binomial Expansion

For Teachers 11th - Higher Ed
In this binomial expansion worksheet, students solve and complete 81 various types of problems. First, they find the given sum and evaluate each factorial notation. Then, students expand each binomial and write only the coefficients....
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Factoring Expressions

For Teachers 9th - 12th
In this factoring worksheet, learners factor guided monomials, then binomials, and work their way to trinomials. There are 8 questions with multiple parts.
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Factorize the Trinomials

For Students 9th - 10th
In this algebra activity, students factor trinomials by completing the square and the AC method. There are five questions with an answer key.
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Algebraic Atrocities

For Students 9th - Higher Ed
In this algebra worksheet, students prove whether or not the left side of an equation equals the right side.  If it is false, students correct the equation. Equations include fractions, trigonometric identities, logarithms, square...
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Math Regents Exam Questions: Factoring Trinomials

For Students 9th - 11th
In this factoring instructional activity, students simplify trinomials.  They factor given expressions containing three terms.  This two-page instructional activity contains 4 multiple-choice problems.  Answers are...
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Binomial Expansion

For Students 9th - 12th
In this algebra instructional activity, high schoolers expand the binomial with the binomial expansion theorem in order to find the coefficient of a given term. There are 4 questions.

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