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Lesson Plan
Curated OER

Rational Equations

For Teachers 8th - 9th
In 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
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...
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Worksheet
Curated OER

Rational Expressions

For Students 9th - 11th
For this rational expressions worksheet, students 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...
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Worksheet
Curated OER

Simplify Rational Expressions

For Students 9th - 12th
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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Worksheet
Curated OER

Adding and Subtracting Rational Expressions with Like and Unlike Denominators

For Students 8th - 11th
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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Worksheet
Curated OER

Rationalizing Denominators with Radicals

For Students 7th - 8th
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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Lesson Plan
Curated OER

Solving Radical Equations Including Problem Solving

For Teachers 8th - 11th
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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Lesson Plan
2
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Curated OER

Mixing Fertilizer

For Teachers 9th - 12th Standards
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.
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Worksheet
Curated OER

Twenty-Six Rationalize Imaginary Denominators

For Students 10th - 12th
In this rationalizing denominators instructional activity, students rationalize imaginary denominators in twenty-six problems.  Sixteen of the problems have denominators that are monomials and ten binomials.  The solutions are provided.
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Worksheet
Curated OER

Fifteen Multiple Choice Rationalizing the Denominator Problems

For Students 10th - 12th
In this rationalizing the denominator worksheet, students rationalize the denominator in fifteen problems.  The solutions are provided.
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Worksheet
Curated OER

Ten Rationalizing the Denominator Problems

For Students 8th - 11th
In this rationalizing the denominator worksheet, students solve seven multiple choice  and three free-response problems containing radical expressions. The solutions are provided.
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Lesson Plan
EngageNY

Linear Equations in Disguise

For Teachers 8th Standards
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
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Handout
Charleston School District

Identifying Irrational Numbers

For Students 8th - 9th Standards
These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them. 
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Worksheet
Curated OER

Rational Functions and Their Graphs

For Students 11th
In this Algebra II instructional activity, 11th graders examine the graphs of rational functions, identifying the points of discontinuity and the vertical and horizontal asymptotes.  The three page instructional activity contains...
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Lesson Plan
Curated OER

Rationalizing Denominators: Extra Practice 41

For Teachers 8th - 9th
In this math worksheet, students must rationalize the denominators to solve radical expressions. Students square terms for fourteen of the problems. The other six problems involve different roots (3rd, 4th, or 5th roots).
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Worksheet
Curated OER

Adding and Subtracting Rational Expressions 9-4

For Students 7th - 9th
In this addition and subtraction worksheet, learners solve 15 problems in which they add or subtract with monomial denominators, binomial denominators, and complex fractions.
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Lesson Plan
Curated OER

Adding and Subtracting forty-Four Rational Expressions with Unlike Denominators

For Teachers 11th - Higher Ed
In this adding and subtracting rational expressions worksheet, students perform the indicated operations and simplify forty-four expressions.  These problems involve unlike denominators.
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Lesson Plan
Curated OER

Adding and Subtracting Rational Expressions

For Teachers 8th
For this adding and subtracting rational expressions worksheet, 8th graders solve and complete 7 different problems. First, they simplify each rational expressions given. Then, students state the domain restrictions as they proceed...
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Lesson Plan
Curated OER

Multiplication and Division of Rational Expressions

For Teachers 9th - 10th
In this rational expression worksheet, learners multiply and divide rational expressions. They solve 24 problems on this two-page worksheet.
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Worksheet
Curated OER

Rational Numbers

For Students 8th - 9th
In this rational numbers worksheet, students solve and complete 33 different problems that include adding and subtracting various types of rational numbers. First, they determine the sum or difference of each problems. Then, students...
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Lesson Plan
Curated OER

Solving Rational Equations

For Teachers 9th - 10th
In this rational equation worksheet, students solve rational expressions by finding the LCM. There are 18 problems on this two-page worksheet.
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Worksheet
Curated OER

Rational Expressions: Add and Subtract

For Students 9th - 12th
In this rational expression worksheet, students add or subtract rational expressions by finding common denominators. There are 11 multiple choice questions.
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Worksheet
Curated OER

Rational Functions

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page worksheet contains nine problems. Answers are not provided.