Curated OER
Polynomials
In this polynomials activity, students solve and complete 16 different types of problems. First, they solve each of the fractional expressions shown. Then, students factor each polynomial and find their roots. In addition, they write an...
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Addition and Subtraction of Rational Expressions
In this adding and subtracting rational numbers worksheet, students add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.
02 x 02 Worksheets
Factoring
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
Curated OER
Divide Polynomials By Factoring
Students investigate how to perform the operation of division with polynomials. The lesson begins with a warm up that has them factor a set of polynomials and then problems using factoring for division are introduced as guided practice.
Curated OER
Models with monomials and polynomials
Students participate in a activity that focuses on the concepts of combining monomials to make polynomial expressions. They use algebra tiles to complete the exercises in the activity. This is hands-on learning with successive problem...
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Rationalizing Denominators with Radicals
In this radicals worksheet, students solve 10 different problems that include rationalizing the denominators in each problem. First, they rationalize the denominator. Then, students write the conjugate for each binomial. In addition,...
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How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
Curated OER
Solving Monomials and Polynomials
In this solving monomials and polynomials worksheet, 9th graders solve 18 different problems related to solving by division. First, they use the Distributive Property to write every term of the numerator over the monomial in the...
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Subtracting Rational Expressions
This worksheet contains 10 problems on subtracting rational expressions. It starts out with like denominators and progresses to more complicated problems. Answers are included.
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Algebraic Fractions
In this algebraic fractions worksheet, 9th graders solve 10 different problems that include various polynomial denominators. First, they factor the numerator and factor the denominator. Then, students divide out the common binomial...
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Multiplication and Division of Rational Expressions
In this rational expressions worksheet, 9th graders identify and solve 15 different problems that include multiplying and dividing various rational expressions. First, they multiply or divide each pair of rational expressions. Then,...
West Contra Costa Unified School District
Lowest Common Multiple through the Grades
The LCM will be your new BFF. Learners review least common multiple and least common denominator applications, mostly on fractions, from middle school. Scholars then see how the LCM can be applied to various types of problems from...
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Polynomials
In this polynomials worksheet, students solve 18 different problems that include polynomials and fractions. They simplify each given fraction with polynomials in the numerator and the denominator. Then, students factor both and reduce...
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Solving Polynomial Equations
Young scholars demonstrate how to use spreadsheets as a tool for analyzing, visualizing and solving mathematical problems. Students obtain fundamental grasp of cubic equations and other polynomial equations.
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Simplifying Rational Expressions
This is a 10-problem worksheet on simplifying rational expressions. Most of the problems require factoring. It is assumed that the domain of variables do not include values for which any denominator is zero. Answers are included.
Curated OER
Rational Root Theorem
For this polynomial worksheet, learners use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page worksheet contains ten problems.
Curated OER
Math 155 Worksheet 1
In this college level Calculus worksheet, students review factoring, rationalization of a denominator, and functional notation to prepare for differentiation. The two page worksheet contains six problems. Answers are not included.
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Expressions and Operations
For this expressions and operations worksheet, 9th graders solve and complete 20 different problems that include various polynomials. First, they simplify each polynomial and write the answer in simplest form. Then, students match that...
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Rational Inequalities
For this rational inequalities worksheet, 9th graders solve 10 different equations that contain rational inequalities in each. First, they find the zeros from the numerator and the undefined points from the denominator. Then, students...
EngageNY
Radicals and Conjugates
Make the irrational rational again! Continuing the theme from previous lessons in the series, the lesson relates the polynomial identity difference of squares to conjugates. Learners develop the idea of a conjugate through analysis and...
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Dividing Monomials
In this monomials worksheet, 9th graders solve and complete 14 different problems that include dividing various monomial expressions. First, they divide the powers with the same base and subtract the exponents. Then, students simplify...
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Adding and Subtracting Rational Expressions
In this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
Curated OER
Asymptotes And Zeros of Rational Functions
Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...
Curated OER
Dividing by a Monomial
In this algebra worksheet, 11th graders solve monomial divisions by making them like terms and reducing them to the lowest term. There are 10 questions with an answer key.