+
Worksheet
Curated OER

Rationalizing Denominators

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

Solving Rational Equations

For Students 8th - 11th Standards
In this algebra worksheet, learners solve rational equations including two application problems. This worksheet contains explanations to aid in understanding. 
+
Lesson Plan
Curated OER

Rational Expressions: Simplifying

For Teachers 8th - 10th
This two-day instructional activity will help the class simplifying rational expressions. It also has an emphasis on understanding when a rational expression is undefined. The instructional activity contains powerpoint presentations,...
+
Worksheet
Math Mammoth

Add and Subtract Rational Expressions With Unlike Denominators

For Students 6th - 8th
The class solves 19 problems involving rational expressions. They find the least common denominator of fractions, make fractions equivalent and then add or subtract fractions containing rational expressions.
+
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.
+
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.
+
Worksheet
Curated OER

Topic 9.4 - Adding and Subtracting Rational Expressions

For Students 8th - 10th
This learning exercise contains a good selection of problems of adding and subtracting rational expressions. There are eight problems. None of the problems have common denominators.  A few are mixed expressions and some require...
+
Lesson Plan
Curated OER

Regents Exam: Solving Rationals 1

For Teachers 9th - 12th
In this rational number worksheet, students add and subtract fractions containing variables. They find common denominators and solve for the unknown. This four-page worksheet contains eighteen problems. Answers are listed on the last...
+
Worksheet
Curated OER

Regents Exam Questions: Rationalizing Denominators 1

For Students 9th - 12th
In this rationalizing worksheet, learners simplify expressions containing rational numbers.  They identify equivalent expressions containing fractions and square roots.  This four-page worksheet contains 16 multiple-choice problems.  An...
+
Worksheet
Curated OER

Rationalizing Denominators

For Students 9th - 11th
In this Algebra I/Algebra II instructional activity, students rationalize denominators that contain a radical expression.  The two page instructional activity contains a combination of sixteen free response questions.  Answers are...
+
Lesson Plan
1
1
EngageNY

Adding and Subtracting Rational Expressions

For Students 10th - 12th Standards
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
+
Lesson Plan
West Contra Costa Unified School District

Solving Rational Equations

For Teachers 8th - 10th
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...
+
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...
+
Worksheet
Curated OER

Rational Expressions Two - Addition and Subtraction

For Students 8th - 11th
This worksheet is a mix of 24 problems on adding and subtracting rational expressions. All of the problems have unlike denominators. Most require factoring of the denominators, and a few contain mixed expressions and three expressions....
+
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. 
+
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...
+
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. 
+
Lesson Plan
Curated OER

How Simple Is Your Rational Expression?

For Teachers 8th - 10th
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...
+
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 worksheet contains...
+
Worksheet
Curated OER

Rational Equations 9-5

For Students 8th - 10th
Algebra learners practice solving various rational equations by finding the LCD and multiplying both sides of the equation. There are nine problems on this worksheet geared towards algebra 1. 
+
Lesson Plan
Curated OER

Multiplication And Division of Rational Expressions

For Teachers 6th - 8th
There is nothing wrong with good old-fashioned practice. Middle schoolers simplify rational expressions using the operations of multiplication or division. The worksheet included 24 problems and an example to help learners along. 
+
Lesson Plan
Curated OER

Rational Equations and Proportions

For Teachers 7th - 8th
In this rational equations worksheet, students solve and complete 11 various types of problems. First, they find a number that is the reciprocal of one described in each statement. Then, students solve for the variable in each expression.
+
Worksheet
Curated OER

Rational Exponents

For Students 9th - 11th Standards
In this Algebra worksheet, students simplify expressions involving rational exponents.  The one page worksheet contains explanation, examples and nine practice problems.