In this algebra learning exercise, students solve rational expression with multiplication and division. They factor and simplify. There are 6 questions with an answer key.

In this rationalizing the denominator worksheet, students rationalize the denominator in fifteen problems.  The solutions are provided.

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,...

In this algebra instructional activity, students simplify rational expressions. They multiply and divide to solve the expressions. There are 9 questions.

In this rational fractions worksheet, 9th graders solve 10 different types of problems that include adding and subtracting. First, they factor each denominator completely, including constant factors, and express repeated factors in...

In this rationalizing the denominator learning exercise, students solve seven multiple choice  and three free-response problems containing radical expressions. The solutions are provided.

In this algebra worksheet, student simplify rational expressions. They use properties of exponential functions to solve. There are 79 questions.

Learners analyze the real number system. They discuss real numbers, rational and irrational numbers, integers, whole numbers, natural numbers and more of the real number in the system. They differentiate between all these numbers.

What is that fraction doing as an exponent? Fun math games prompt learners to practice evaluating radical expressions and expressions containing rational exponents, both in groups and individually.

(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...

This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum...

How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...

Don't get irrational about rational exponents. A PowerPoint presentation highlights the sample high school questions from the Smarter Balanced Assessment Consortium (SBAC) Claim 1 Target A item specifications. As one part of a larger...

A seven-question assessment determines how well your learners understand the procedures to add, subtract, multiply, and divide signed rational numbers. Pupils show their understanding through problem-solving situations. 

Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...

In this rational fractions worksheet, 9th graders solve 10 different problems that include dividing various rational fractions. First, they change the division sign to a multiplication sign and flip the second fraction only. Then,...

In this graphing rational functions worksheet, students find the domain, asymptotes, intercepts and graph a given rational function.  A grid for the graph is provided.

Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...

There are only two options to consider: rational or irrational. Pupils review rational and irrational numbers by answering a set of eight questions provided in a PowerPoint presentation. Part of larger Claim 1 Item Slide Show series, the...

Take an irrational approach to numbers with a Smarter Balanced assessment that covers the introduction of irrational numbers. The nine items cover identifying irrational numbers, approximating them with rational numbers, and converting...

In this rational fractions worksheet, 9th graders solve 10 different problems that contain using multiplication to solve them. First, they multiply the numerators, then they multiply the denominators in each problem shown. Students also...

In this rational expressions worksheet, 9th graders solve 10 different problems that include adding and subtracting various fractional expressions. First, they determine the least common denominator for each one. Then, students add the...

In this algebra worksheet, students factor rational expressions. They identify the domain and range of each function. There are 47 questions.

Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...