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Dividing Rational Expressions
For 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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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...
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Simplifying Rational Expressions
In this rational expression worksheet, students 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.
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Higher Roots and Rational Exponents
In this higher roots worksheet, 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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Rational Inequalities
In this algebra worksheet, learners solve rational equations and inequalities. They model word problems using equations and find the minimum amount as it relates to an inequality set up. There is an answer key for this problem.
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Regents Exam Questions: Rationalizing Denominators 1
In this rationalizing worksheet, students simplify expressions containing rational numbers. They identify equivalent expressions containing fractions and square roots. This four-page worksheet contains 16 multiple-choice...
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Math B Regents Questions by Performance Indicator: Rational Numbers
In this rational number learning exercise, students add and subtract quantities containing radical expressions. They identify equivalent expressions. This three-page learning exercise contains 15 multiple-choice...
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Rational and Irrational Numbers 1
You'll need scissors, glue sticks, and mini whiteboards for this activity on rational and irrational numbers. Learners work in groups to classify a variety of expressions as rational or irrational. They are also given a mock discussion...
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Rational and Irrational Numbers 2
Is the circumference of a circle always, sometimes, or never rational? Learners answer questions individually and also work in groups to look at sums and products of rational and irrational numbers. They must also be able to use the...
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Rational and Irrational Numbers
Here is a rational and irrational numbers learning exercise in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.
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Multiplying Rational Expressions
In this rational expression worksheet, students multiply rational expressions and then simplify them. This one-page worksheet contains ten problems, with answers.
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Rationalize Denominators
Solve 10 different problems that include various rational expressions. First, learners rationalize the denominator in each set. Then, they write the conjugate for each binomial and determine the reciprocal. They also write an expression...
West Contra Costa Unified School District
Solving Rational Equations
Scholars first learn to solve two-step equations with fractional coefficients and constants by traditional methods and by clearing the denominator. They continue by learning another approach to solve two-step equations that have decimal...
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Simplify Rational Expressions
In this simplifying rational expressions worksheet, students solve 18 rational expression problems. Students find common denominators and factor quadratics to simplify rational expressions.
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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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The Real Number System: Rational or Irrational
In this real numbers worksheet, high schoolers determine if 14 expressions when simplified are rational or irrational. Students take the square and cube roots of numbers to determine if the result is rational or irrational.
Mathematics Assessment Project
Arithmetic with Polynomials and Rational Expressions
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...
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Graphing Rational Functions
In this Algebra II worksheet, 11th graders graph rational functions and use the graph to solve real-life problems. The four page worksheet contains forty-one problems. Answers are not provided.
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Rational Expressions
For this rational expressions worksheet, 9th graders solve 10 different problems that include multiplying various fractional expressions. First, they multiply the numerators of each fraction. Then, students multiply the denominators of...
Virginia Department of Education
Rational Speed Matching
Ready, set, go! Individuals practice converting rational numbers between fractions, decimals, and percents. A speed game has teams match the three forms of rational numbers on a number line.
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Adding and Subtracting Rational Expressions with Like and Unlike Denominators
In this rational expressions worksheet, students find the sum or difference of two rational expressions in seventy-two problems on four worksheets. The first two worksheets contain problems with like denominators and the second two...
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The Number Line
Represent, order, and compare rational numbers in order to practice placing them on a number line. Your class will use appropriate operations, methods, and tools to compute with real numbers. Then they must explain completely and clearly...
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Solving Radical Equations Including Problem Solving
In this rational equation worksheet, students solve 20 equations with a variable in the denominator of one more terms. They also read real-life application problems, write a rational equation to fit the problem and solve the equation....
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Alternative Algorithms
Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of...
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