Curated OER
Excluded Values
In this simplification of radicals learning exercise, students solve 26 problems to find the values of the variable that should be excluded from answers because they will make the denominator equal zero.
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Roots and Radical Expressions
In this Algebra II worksheet, 11th graders simplify radical expressions. The two page worksheet contains explanation, worked example, and three practice problems. Answers are not included.
West Contra Costa Unified School District
Square and Square Roots
Root for your pupils to learn about roots. Young mathematicians first review the meaning of squares and square roots. They then use this knowledge to simplify square roots of monomials with variables.
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Simplifying Roots
In this simplifying roots worksheet, students simplify given roots and express them in terms of exponents. Explanations and examples are provided. This three-page worksheet contains ten problems.
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Complex Fractions
In this complex fractions worksheet, 9th graders solve 10 different problems that include simplifying various complex fractions. First, they create one single fraction in the numerator and then in the denominator. Then, students rewrite...
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The Real Number System: Rational or Irrational
In this real numbers worksheet, students determine if 14 expressions when simplified are rational or irrational. Students take the square and cube roots of numbers to determine if the result is rational or irrational.
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Addition of Radicals Worksheet
In this radicals worksheet, students simplify 5 radical expressions. Students simplify perfect squares and non-perfect squares.
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Laws of Exponents, Radicals
In this Algebra II worksheet, 11th graders solve problems involving the laws of exponents, including fractional exponents, solve radical equations, and graph radical functions. The ten page worksheet contains fifty-seven problems. ...
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Rational Numbers as Exponents
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
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Thirty-Four Simplify Using The Laws of Exponents
In this law of exponents worksheet, students simplify thirty-four expressions using the laws of exponents. The problems increase in difficulty as the students progress down the page.
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Semester Review Worksheet: College Prep Algebra
In this semester review worksheet, students simplify given expressions. They translate word sentences into algebraic expressions, solve equations through substitution, and find the value of a variable in a given equation. This worksheet...
University of Utah
Rational and Irrational Numbers
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
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Rational Exponents
In this rational exponents learning exercise, 9th graders solve and complete 18 different problems. First, they evaluate each rational exponent shown. Then, students write each radical expression in exponential form and simplify the...
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Worksheet Chapter 7.1 & 8.1 College Prep Algebra
In this algebra worksheet, high schoolers solve equations through substitution and then solve for an unknown. They simplify division equations containing exponents and two variables and solve radical problems. This worksheet contains a...
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Order of Operations
In this order of operations worksheet, students simplify and evaluate 10 different types of problems by applying the order of operations in each. They simplify basic equations whether multiplication, division, addition, or subtraction....
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Division of Radicals Worksheet
In this Algebra I/Algebra II worksheet, students simplify expression involving division of radicals. The one page worksheet contains five problems. Answers are provided.
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Solving Quadratics
In this algebra worksheet, 11th graders solve quadratic equations and simplify radicals in to their simplest form using a radical sign. They complete the square and factor equations. There are 13 questions on this worksheet.
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Absolute Value
In this absolute value worksheet, students solve and complete 4 different types of problems. First, they rewrite the expressions without absolute value. Then, students solve each inequality shown. In addition, they simplify the...
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Exponential Expressions
In this exponential expressions worksheet, students simplify the first four expressions by following the rules of exponents. For number 5 they rewrite the exponential expression shown as a radical expression. Finally, for the last five...
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Simplifying a Square Root
In this algebra worksheet, students simplify square roots. They add and multiply the roots. There are 5 questions with an answer key.
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Addition, Subtraction, and More Multiplication with Radicals: Extra Practice 36
In this math worksheet, students use the distributive property to complete computation with radicals. Students multiply pairs of binomials that have the square root sign in each pair.
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Multiplication of Square-Root Radicals
In this Algebra I/Algebra II worksheet, students multiply square-root radicals and express answers in simplest form. The one page worksheet contains three problems. Answers are provided.
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Twelve Rationalize Denominators Containing Radicals
For 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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Chapter 9 - Objective 2.1 Exponents
In this exponent worksheet, students simplify equations containing exponents, fractions, radical expressions. This one-page worksheet contains ten problems.
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