EngageNY
End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
EngageNY
Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
Curated OER
The Rational Number System
In this rational number system worksheet, learners identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page worksheet contains approximately 10 problems. Answers are...
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Simplifying Rational Expressions
In this rational expressions worksheet, 9th graders identify and solve 20 different problems that include simplifying various types of rational expressions. First, they define and describe a rational expression and how to find its...
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Graphing Rational Functions
Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...
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Rationals
In this rational numbers worksheet, 9th graders solve 14 various types of problems relating to rational numbers that include simplifying each equation and reducing to lowest terms to using the order of operations to simplify equations....
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Simplifying Rational Expressions
In this rational expression worksheet, learners simplify rational expressions. Explanations and examples are provided. This two-page worksheet contains 20 problems, with answers listed at the end of the document.
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Rational Functions
In this rational functions worksheet, 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 worksheet contains 35 multip-step problems.
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Multiplying and Dividing Rational Expressions
In this college level worksheet, young scholars multiply and divided rational expressions and simplify the answers. The two page worksheet contains sixty-two problems. Answers are provided.
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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,...
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Math Regents Exam Questions: Graphing Rational Functions
For this graphing rational functions worksheet, students answer 18 multiple choice problems about rational functions. Students determine values for a which a function is undefined given the equation of the function.
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Multiplication and Division of Rational Expressions
In this rational expressions instructional activity, students solve and complete 20 different problems that include multiplying and dividing rational expressions. First, they multiply or divide to simplify each result. Then, students...
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Addition and Subtraction of Rational Expressions
In this rational expression worksheet, students add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This two-page...
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Solving Rational Equations
In this algebra worksheet, 11th graders solve rational expressions, by combining the denominators and making them common. They solve word problems using algebra. There are 10 questions with an answer key.
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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
Addition and Subtraction of Rational Expressions
In this rational expressions worksheet, 9th graders solve and complete 15 different problems that include adding and subtracting rational expressions. First, they define Least Common Multiple to get a common denominator in an equation....
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Rational Numbers
In this rational numbers activity, 9th graders solve and complete 16 different problems that include adding and subtracting various rational numbers. First, they determine the sum or difference for each equation. Then, students evaluate...
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Multiply Rational Expressions
In this algebra worksheet, students solve rational expressions using multiplication. They cancel out common factors and simplify the expression. There are 28 questions with an answer key.
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Dividing Rational Expressions
In this algebra lesson, 11th graders solve rational equations using division and its reciprocal. There are 22 questions with an answer key.
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Solving Rational Equations
In this rational equations worksheet, students solve rational equations. They find the least common multiple for given complex fractions. This two-page worksheet contains 18 problems. An example is provided at the beginning of the...
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Solving Rational Equations
For this rational equations worksheet, students identify the least common multiple and solve rational equations. This two-page worksheet contains 18 problems.
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Rational Expressions/Equations Test
In this Algebra II worksheet, students are given a test of twenty-three problems regarding Rational Expressions and Rational Equations. Some of the questions are multiple choice, while others are word problems or problem solving problems.
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Simplifying Rational Expressions
In this rational expression worksheet, learners simplify the expression. They remove common factors in the numerator and denominator. This one-page worksheet contains ten problems. Answers are provided at the bottom of the page.
Curated OER
Higher Roots and Rational Exponents
In this higher roots activity, 9th graders solve and complete 40 various types of problems. First, they simplify each root by taking the number inside times another number. Then, students write out the root using rational exponents.
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