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Worksheet
Curated OER

Rationalizing Denominators

For Students 9th - 12th
In this algebra worksheet, students rationalize the denominator by multiplying by the conjugate. There are 15 multiple choice questions.
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Worksheet
Curated OER

Rationalize Denominators

For Students 9th - 11th
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...
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Worksheet
Curated OER

Simplifying Rational Exponents

For Students 9th - 12th
For this algebra worksheet, students simplify rational exponents using the property of exponents. There are 22 problems with an answer key.
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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 10th - 11th
In this algebra worksheet, students simplify rational expressions using common denominators. There are 50 questions requiring factoring and grouping, with an answer key.
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Lesson Plan
Willow Tree

Rational vs. Irrational Numbers

For Students 7th - 10th Standards
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
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Worksheet
Mt. San Antonio Collage

Graphs of Rational Functions

For Students 9th - 12th Standards
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 
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Lesson Plan
EngageNY

The Structure of Rational Expressions

For Teachers 11th - 12th Standards
Find out when rational expressions are closed. Pupils review adding, subtracting, multiplying, and dividing with rational numbers to make the connections to operations with rational expressions. Using specific examples, learners notice...
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Worksheet
Curated OER

Rationalize the Denominator

For Students 9th - 11th
In this Algebra I/Algebra II/Geometry worksheet, students use their knowledge of perfect squares to rationalize denominators.  The one page worksheet contains five problems with answers. 
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Worksheet
Curated OER

Lesson 19: Rational Functions and Long Division

For Students 10th - 12th
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page instructional activity...
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Lesson Plan
Curated OER

Finding Equivalent Forms For Positive Rational Numbers

For Teachers 8th - 10th
Learners discuss the relationship between and the equivalent forms of rational numbers. They will convert numbers from decimals to fractions, understanding they are equivalent, but just different forms.
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Worksheet
Curated OER

Twelve Rationalize Denominators Containing Radicals

For Students 10th - 11th
In this rationalizing the denominator worksheet, students rationalize the denominator in twelve problems where the denominator contains a radical.  The solutions are provided.
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Lesson Plan
Curated OER

Rationalizing Denominators

For Teachers 6th - 9th
For this math worksheet, students find the solutions to the rational numbers using radicals. Then they express the answer in simplest form.
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Worksheet
Curated OER

Rational Expressions: Add and Subtract

For Students 9th - 12th
In this algebra instructional activity, students simplify rational expressions. Some have like, unlike, and quadratic denominators. There are 26 questions.
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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 9th
In this rational expressions activity, 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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Worksheet
Curated OER

Addition and Subtraction of Rational Expressions

For Students 9th
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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Worksheet
Curated OER

Adding and Subtracting Rational Expressions

For Students 7th - 9th
In this adding and subtracting rational expressions worksheet, students solve 22 problems with complex denominators. Eight problems have common denominators, for the other 14, students must first multiply to find the common denominator.
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Worksheet
Curated OER

Multiplication and Division of Rational Expressions

For Students 9th
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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Worksheet
Curated OER

Solving Rational Equations

For Students 11th
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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Worksheet
Curated OER

LCD of Expressions

For Students 11th
For this algebra worksheet, 11th graders solve rational expression by converting the denominators to the same unit using the least common denominator and multiplication. There are 13 problems.
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Lesson Plan
Curated OER

Addition and Subtraction of Rational Expressions

For Teachers 8th - 11th
In this adding and subtracting rational numbers worksheet, students add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.
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Lesson Plan
Curated OER

Rational Equations

For Teachers 8th - 9th
For this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
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Lesson Plan
Willow Tree

Simplifying Square Roots

For Students 7th - 10th Standards
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root expressions,...
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Worksheet
Curated OER

Rational Expressions

For Students 9th
In 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...
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Worksheet
Curated OER

Rational Expressions

For Students 9th - 11th
In this rational expressions worksheet, learners solve 10 different sets of problems that include the division of various fractional expressions. First, they change the division sign to multiplication. Then, students flip the second...