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Quadratic Equations

For Students 9th - 11th
In this algebra worksheet, students define the word "quad" and solve problems with quadratics. They factor polynomials by the quadratic formula and completing the square.
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Functions and Fraction Combination

For Students 11th
In this algebra activity, 11th graders factor polynomials and find the roots of the equations. They write the rules representing the equation and how to solve it. There are 9 questions.
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Exploring Power Functions 2

For Teachers 9th - 12th Standards
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
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Eigenvalues, Eigenvectors, and Diagonalization

For Teachers Higher Ed
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
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Worksheet 8, Exponents

For Teachers 11th - 12th
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...
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Factoring Trinomials

For Teachers 8th - 11th
Students factor trinomials using specific steps. In this algebra lesson, students factor polynomials following the steps on a smart lesson. They review important vocabulary to help with solving the problems.
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Exponents - Week 1

For Teachers 10th - 12th
In this exponent worksheet, students add, subtract, multiply and divide exponents. They solve problems containing negative exponents, fractional exponents, and polynomials. This two-page worksheet contains eight problems.
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Equations and Inequalities

For Teachers Higher Ed
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
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Rational Expressions

For Teachers 9th - 11th
Students simplify rational expressions. In this algebra instructional activity, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
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The football and Braking Distance; Model Data with Quadratic Functions

For Teachers 8th - 10th
Learners use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
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The Rational Root Theorem

For Students 11th
In this algebra worksheet, 11th graders find the rational roots of an equation, by setting it to zero and solving for x. They can also use synthetic division and p/q to help find and eliminate rational root values. There are 19 problems...
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Adding and Subtracting Expressions

For Students 8th - 10th
In this algebra worksheet, students add and subtract expressions. They solve monomials and polynomials. There are 14 questions with an answer key.
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Factoring Trinomials

For Teachers 9th - 12th Standards
Learners factor trinomials using patterns and their TI to graph their results and make predictions through this lesson. This is accomplished by solving quadratic equations through FOIL and algebra tiles.
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Powers of Trig Functions

For Teachers 10th - 11th
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
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Linear Equations

For Students 8th - 9th
In this linear equations learning exercise, learners 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...
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Applications Of Rational Functions

For Teachers 9th - 12th
Learners engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction. Students can...
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Additional Practice Problems with Skills for Quadratic Functions and Equations

For Students 8th - 9th
Challenge your students' graphing and factoring skills with these sets of problems for quadratic functions and equations. Here, students plot the y-intercept and vertex of 7 parabolas. They factor and solve 9 quadratic equations....
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Math 321 Spring 98. Complex Numbers

For Students Higher Ed
In this complex numbers worksheet, students find the solutions to polynomials and write them in rectangular and exponential form. This two-page worksheet contains two problems.
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Integrated Algebra Practice: Evaluating Expressions

For Teachers 9th - 12th
In this evaluating expressions worksheet, young scholars solve 10 short answer and multiple choice questions. Students evaluate absolute value, polynomial, and exponential expressions for a given value.
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Taylor Series

For Students 9th - Higher Ed
In this calculus worksheet, students solve various functions for the Taylor Series using a variety of solving methods including the double angle formula, partial fractions, and u substitution. There are 8 questions.
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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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The Discriminant

For Students 9th - 12th
In this discriminant learning exercise, 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 learning exercise contains ten...
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Simplifying Rational Expressions.

For Students 8th - 11th
In this algebra worksheet, student simplify rational expressions. They use properties of exponential functions to solve. There are 79 questions.
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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.