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Activity
Wyzant

Wyzant: Simplifying Using the Foil Method

For Students 9th - 10th
The distributive property is demonstrated using the FOIL method. (FOIL stands for First, Outer, Inner, and Last.) Several examples are given and students can practice using the online worksheet.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Exponential Properties Involving Quotients

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to apply basic properties of exponents in quotients.
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Activity
Help Algebra

Help algebra.com: Getting Rid of Parentheses

For Students 9th - 10th
Resource explains how to simplify several types of expressions that contain expressions using the properties of addition and multiplication and applying the properties with the order of operations.
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Unit Plan
Oswego City School District

Regents Exam Prep Center: Operations With Radicals

For Students 9th - 10th Standards
The rules for how to simplify radicals and how to perform the operations of adding, subtracting, multiplying, and dividing radicals are explained. A multiple-choice interactive quiz is provided for the students to test their knowledge of...
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Handout
Interactive Mathematics

Interactive Mathematics: Equivalent Fractions

For Students 9th - 10th Standards
The concept of equivalent fractions is applied to algebraic expressions. Examples of how to simplify expressions are included, along with when to stop simplifying. Includes practice problems.
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Rational Exponents

For Students 9th - 10th Standards
In this tutorial, you will learn what a rational exponent is and how to complete many tasks involving them. Follow step-by-step instructions and examples, view video explanations, and hone your skills with several practice problems.
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Unit Plan
Khan Academy

Khan Academy: Combining Like Terms With Rational Coefficients

For Students 6th - 8th Standards
Practice combining like terms for expressions that have rational coefficients. This requires adding and subtracting fractions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
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Unit Plan
Wyzant

Wyzant: Simplifying Using the Distributive Property

For Students 9th - 10th Standards
Students investigate how to simplify using the distributive property. The resource consists of lessons with examples, an expression simplifying calculator, and a worksheet to check for comprehension.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Exponential Properties Involving Quotients

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Evaluate and simplify exponential expressions that are divided by another exponential expression.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Fractional Exponents

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Simplify exponential expressions that involve terms being raised to a zero or fractional power.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Negative Exponents

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students simplify exponential expressions that involve negative powers. Students examine guided notes, review guided practice, watch instructional...
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Activity
Interactive Mathematics

Interactive Mathematics: Multiplication & Division of Fractions

For Students 9th - 10th Standards
Starting with numerical expressions, this demonstration shows how to simplify algebraic expressions using multiplication and division. Examples are included for practicing the concept.
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Activity
Interactive Mathematics

Interactive Mathematics: Addition & Subtraction of Fractions

For Students 9th - 10th Standards
The addition and subtraction of algebraic expressions is presented with detailed examples and exercises for extra practice.
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Activity
Help Algebra

Help algebra.com: Simplifying Radical Expressions

For Students 9th - 10th
Simplifying radicals that do not contain perfect squares can be done easily by following the steps outlined on this resource. Use the examples to see exactly how to do this.
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Activity
Help Algebra

Help algebra.com: Properties of Logarithms

For Students 9th - 10th Standards
Three properties of logarithms are presented here (product, quotient, and power properties). Examples are provided to demonstrate how to use the properties to expand and simplify logarithmic expressions.
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Activity
Help Algebra

Help algebra.com: Positive Integer Exponents

For Students 9th - 10th Standards
The Product of a Power and Power to a Power laws of exponents are introduced. Examples are included to demonstrate how to simply expressions with these laws.
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Lesson Plan
Alabama Learning Exchange

Alex: Fortune Properties

For Teachers 9th - 10th
This lesson teaches students how to recognize and apply the Identity Property and Equality Properties by simplifying algebraic expressions.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Simplification of Radical Expressions

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers adding, subtracting, and multiplying square roots.
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Study Guide
Other

New York State Education Department: Eighth Grade Math, Book One (2006) [Pdf]

For Students 7th - 9th
Part one of three; The March 2006 8th grade Math test from the State of New York. The test is 27 multiple choice questions dealing with topics such as algebra (translating into algebraic terms, simplifying expressions, evaluating...
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Study Guide
Other

Ode: Seventh Grade Achievement Test (Practice Test) [Pdf]

For Students 6th - 8th
Half-length practice test for the third grade OAT (Ohio Achievement Test). The test includes 17 multiple-choice and 4 open-response questions dealing with topics such as number sense (order of operations, ratios), measurement (metric...
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Beginning Algebra: Multiplying Polynomials

For Students 9th - 10th Standards
A tutorial that shows you how to multiply polynomials and how to use the FOIL method when multiplying binomials.
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Unit Plan
Khan Academy

Khan Academy: Powers of the Imaginary Unit

For Students 9th - 10th Standards
Simplify expressions with base i (the imaginary unit) raised to a positive exponent. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Whiteboard
ClassFlow

Class Flow: Distribute and Simplify

For Teachers 6th - 8th Standards
[Free Registration/Login Required] This one is a beginner flipchart on Distribution and Simplification.
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Activity
Help Algebra

Help algebra.com: Order of Operations

For Students 9th - 10th Standards
Each step of the Order of Operations is described, then demonstrated in an example. A note on calculator use with order of operations is also included.