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Multiplying Polynomials

For Teachers 8th - 10th
Students explore multiplying polynomials. They observe solving polynomials using the standard order of operations, FOIL, and the box method. Throughout the demonstration, students explore strategies of solving word problems such as...
Worksheet
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Multiply Integers Customized Worksheets

For Students 6th - 7th
In this multiplying integers worksheet, students solve 18 different equations by multiplication. First, they multiply the signed integers by applying the appropriate rules. Then, students multiply the absolute values of each and place...
Worksheet
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Factoring

For Students 8th - 9th
In this factoring worksheet, young algebra pupils practice factoring a binomial that is the difference of two squares and factoring by grouping terms for polynomials of four terms. 
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Steps and Examples for Multiplying Ratiuonal Expressions

For Students 9th - 11th
In this multiplying rational expression worksheet, students are given two examples of how to multiply and then simplify rational expressions.  The examples are complete with steps and justifications.
Worksheet
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Laws of Exponents

For Students 11th
In this Algebra II worksheet, 11th graders use the laws of exponents to write the give radical expressions in simplified exponential and radical form.  The one page worksheet contains twenty-four problems.  Answers are not...
Worksheet
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Square Roots

For Students 9th
In this square roots worksheet, 9th graders solve 10 different problems that include simplifying with negative numbers. First, they identify the negative number in each equation and pull out from under the radical sign as i. Then,...
Worksheet
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Worksheet 4 - Math 126: Sketching Polar Equations

For Students 9th - 12th
In this sketching polar equations worksheet, students solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. Students sketch a graph of the equation.
Worksheet
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Solving Equations Containing Algebraic Fractions

For Students 8th - 9th
In this algebraic fractions worksheet, learners solve and complete 20 different problems that include solving equations that contain algebraic fractions. First, they determine the common denominator in each and use the product of all the...
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Order of Operations

For Teachers 9th
Ninth graders investigate the order of operations.  In this Algebra I lesson plan, 9th graders explore the rules of arithmetic and algebra as they review and practice simplifying increasingly complex numeric expressions using the...
Worksheet
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Math Practice Exam

For Students 5th - 7th
In this math practice exam worksheet, students simplify expressions, find volume and area, write mathematical expressions multiple and divide expressions and reduce fractions. Mention is made of associated videos, but no specific...
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Simple Rational Expressions

For Students 9th - 11th
For this algebra worksheet, students solve rational expression by factoring. They simplify the expressions using the greatest common factor. There is one detailed example of how to simplify a rational expression.
Worksheet
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Adding & Subtracting Polynomials

For Students 8th - Higher Ed
In this adding and subtracting polynomials worksheet, learners simplify each of ten problems using a vertical format for their work and response. They first group like terms together and add them. Students then remove the parentheses and...
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Fractional Exponents

For Students 9th
In this fractional exponents instructional activity, 9th graders solve 10 different problems that include various types of fractional exponents within them. First, they evaluate each given expression. Then, students determine whether...
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Algebra: Formulae

For Teachers 5th - 7th
Students explore basic algebra formulas. In this introductory algebra instructional activity, student use basic algebra formulae to simplify expressions that include 1 or 2 operations.
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Rational Fractions

For Students 9th
For 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...
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Rational Expressions

For Students 8th - 10th
In this algebra worksheet, students identify the greatest common factor to simplify equations. They cancel out GCF to reduce rational expressions. They find the LCD for addition and subtraction problems.
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Simplify the Absolute Value of Numbers

For Students 6th
In this simplifying absolute value of numbers worksheet, 6th graders simplify a total of 8 expressions that use absolute value. Answers are included.
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Extra Practice 45: Solving Equations Reducible to Quadratic

For Teachers 9th - 10th
In this equation worksheet, students solve complex equations with four or more terms. All equations reduce to quadratic expressions. There are 16 problems on this two-page worksheet.
Worksheet
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Solving Fractional Equations

For Students 9th
In this fractional equations learning exercise, 9th graders solve 10 different problems that include various types of rational expressions. First, they determine the least common denominator in each. Then, students compare the numerators...
Worksheet
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Solving Monomials and Polynomials

For Students 9th
In this solving monomials and polynomials activity, 9th graders solve 18 different problems related to solving by division. First, they use the Distributive Property to write every term of the numerator over the monomial in the...
Worksheet
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Thirty-Four Simplify Using The Laws of Exponents

For Students 10th - 12th
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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Simplifying Thirty Exponential Expressions

For Students 10th - 12th
In this exponents worksheet, students simplify thirty problems regarding exponentials. Six of the problems cover fractional exponents and radicals.
Interactive
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Five Simplify With Parentheses and Absolute Value Problems

For Students 6th - 9th
In this grouping symbols worksheet, students simplify five interactive expressions containing a single number, grouping symbols and signs.  The solutions are provided and new number may be placed in each problem. 
Worksheet
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Complex Numbers

For Students 9th
In this complex numbers worksheet, 9th graders solve and graph 10 different problems that include various complex numbers. First, they represent each of the problems shown as complex numbers graphically. Then, students graphically add...

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