Curated OER
Study Guide: Rational Numbers
In this rational numbers worksheet, students solve and complete 8 different problems that include applying the comparison property and density property for rational numbers. First, they replace each blank with the correct symbol to make...
Curated OER
Subtracting Rational Expressions
This worksheet contains 10 problems on subtracting rational expressions. It starts out with like denominators and progresses to more complicated problems. Answers are included.Â
Curated OER
Simplifying Rational Expressions
This is a 10-problem worksheet on simplifying rational expressions. Most of the problems require factoring. It is assumed that the domain of variables do not include values for which any denominator is zero. Answers are included.
Curated OER
Finding Equivalent Forms For Positive Rational Numbers
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.
Curated OER
Twelve Rationalize Denominators Containing Radicals
In this rationalizing the denominator activity, students rationalize the denominator in twelve problems where the denominator contains a radical. The solutions are provided.
EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
Mathematics Vision Project
Module 5: Rational Functions and Expressions
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
West Contra Costa Unified School District
Comparing Rational Functions and Simplified Functions
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order to...
Virginia Department of Education
Rational Equations
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they study steps to...
EngageNY
Equations Involving a Variable Expression in the Denominator
0/0 doesn't equal 0! Begin this lesson by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
Curated OER
Rationalizing Denominators
In this math worksheet, students find the solutions to the rational numbers using radicals. Then they express the answer in simplest form.
Curated OER
Rational Expressions: Add and Subtract
In this algebra instructional activity, high schoolers simplify rational expressions. Some have like, unlike, and quadratic denominators. There are 26 questions.
Curated OER
Fractions and Rationals
Upper elementary and middle schoolers solve 16 types of problems to include writing fractions to represent shaded portions, writing a mixed number to represent certain points on a number line, and changing equivalent mixed numbers to...
CK-12 Foundation
Addition and Subtraction of Rational Expressions: Strawberry Sherbet Punch
Explore the connection between fractions and rational expressions. Young scholars manipulate fractions with unlike denominators to find a total. Challenge questions allow them to check their work to ensure they are correct.
CK-12 Foundation
Oblique Asymptotes: Rational Functions and Asymptotes
Examine the connection between rational functions and their graphs. Individuals use an online manipulative to sort equations with horizontal and oblique asymptotes. They focus on the degree of the numerator and denominator.
Curated OER
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...
Curated OER
Addition and Subtraction of Rational Expressions
In this rational expression learning exercise, 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...
Curated OER
Simplifying Rational Expressions
In this rational expression worksheet, students simplify rational expressions. Explanations and examples are provided. This two-page worksheet contains 20 problems, with answers listed at the end of the document.
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....
Curated OER
Adding and Subtracting Rational Expressions
In this adding and subtracting rational expressions activity, 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.
Curated OER
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.
Curated OER
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,...
Curated OER
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...