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Simplifying Square Roots
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
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Negative Exponents
Students solve negative exponential functions. In this algebra lesson, students define the properties for rewriting functions with negative and zero exponents. They use a robot to create a visual of what is happening to the negative...
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Division of Polynomials
In this division of polynomials worksheet, 9th graders solve 10 different equations that include monomials. First, they divide each terms of the polynomial by the monomial and subtract the exponents. Then, students write the appropriate...
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Cyclic Nature
For this cyclic nature worksheet, 11th graders solve 10 different problems that include the powers of i. First, they use the patterns shown for the powers of i to solve. Then, students find any remainders when dividing. They also...
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Indices and standard Form
For this indices and standard form worksheet, students convert numbers from exponential notation to standard notation. Positive and negative exponents are included. This two-page worksheet contains 30 problems. Answers are provided...
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Exponential Expressions and Equations
In this exponential expressions and equations learning exercise, 9th graders solve 10 different problems that include various exponents and equations. First, they set the equations with comparable exponential expressions on either side...
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Unit 1, Worksheet 2, Calculator Worksheet
In this calculator worksheet, students explore place value, standard notation, and exponential notation. They add, subtract, multiply and divide positive and negative integers with and without a calculator. This three-page worksheet...
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Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
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Exponents and Multiplication
In this algebra learning exercise, students solve exponential problems suing multiplication. There are 26 questions with an answer key.
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Number Sense and Operations
In this number sense and operations worksheet, 9th graders solve and complete 15 various types of multiple choice problems. First, they evaluate a few different functions shown. Then, students write numbers given in scientific notation....
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Square Roots Worksheet
In this square roots worksheet, students calculate the value of a number squared. They determine the square root of a number. Students find the area of objects. This five-page worksheet contains 10 problems. Answers are provided.
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Integers
In this integers worksheet, 9th graders solve 16 different types of problems that include writing an integer to represent statements, arranging integers from least to greatest, and using integers to write mathematical expressions. They...
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Substitution Formula
For this substitution formula worksheet, students solve 9 various types of problems related to applying the substitution formula. First, they use a number line to add or subtract negative integers. Then, students substitute numbers for...
Illustrative Mathematics
Exponentials and Logarithms II
Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...
Ohio Department of Education
Multiplying and Dividing in Scientific Notation - Grade 8
Here is really nice set of resources on scientific notation. Eighth and ninth graders explore the concept of multiplying and dividing in scientific notation. In this multiplying and dividing numbers in scientific notation lesson,...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a variety of ways to...
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Simplifying Radicals 1
In this radical worksheet, 10th graders simplify positive radicals. Radicals contain coefficients and exponents set to various powers. Students simplify 21 radicals.
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Functions and Logarithms - Week 4
In this function and logarithm worksheet, learners solve function problems by finding the sum of the digits. They use logarithms to solve graphing problems and find the number of prime numbers. This three-page worksheet contains eight...
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Dividing by Powers of Ten (E)
In this powers of ten worksheet, learners divide four to ten-digit whole numbers by multiples of powers of ten. This two-page worksheet contains approximately 50 problems, with answers.
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Complex Fractions
In this algebra worksheet, students divide complex fractions using properties of division and reciprocals. They are to get rid of all negative exponents. There are 48 problems.
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Radical Equations
In this radical equations worksheet, 9th graders solve 10 different problems that include various radical equations. First, they isolate the variable in each equation. Then students solve by undoing the addition or subtraction, which...
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Standard Form and Scientific Notation
In this standard form and scientific notation worksheet, 9th graders solve 10 different problems that include converting numbers and equations. First, they place the decimal point so there is one non-zero digit to the left of the decimal...
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Solve for the Unknown
In this solving for the unknown worksheet, 11th graders solve 10 different equations that include determining the unknown variable in each one. First, they set up the equations so that the insides are equal to each other. Then, students...
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Worksheet 8, Exponents
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...
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