Use the following Media4Math resources with this Illustrative Math lesson.
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Video Definition 1--Rationals and Radicals--Addition of Rational Expressions (Spanish Audio) | Video Definition 1--Rationals and Radicals--Addition of Rational Expressions (Spanish Audio)
TopicRationals and Radicals |
Rational Functions and Equations |
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Video Definition 20--Rationals and Radicals--Multiplication of Rational Expressions | Video Definition 20--Rationals and Radicals--Multiplication of Rational Expressions
TopicRationals and Radicals DescriptionMultiplication of rational expressions involves multiplying the numerators and denominators of each expression. For example, (x / (x + 1)) * ((x - 1) / 3) simplifies to (x * (x - 1)) / (3 * (x + 1)), illustrating its application in simplifying complex expressions. Covers the multiplication of rational expressions, essential for algebraic simplifications and solving equations. |
Rational Functions and Equations |
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Video Definition 20--Rationals and Radicals--Multiplication of Rational Expressions (Spanish Audio) | Video Definition 20--Rationals and Radicals--Multiplication of Rational Expressions (Spanish Audio)
TopicRationals and Radicals |
Rational Functions and Equations |
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Video Definition 23--Rationals and Radicals--Partial Fraction Decomposition of a Rational Expression | Video Definition 23--Rationals and Radicals--Partial Fraction Decomposition of a Rational Expression
TopicRationals and Radicals |
Rational Expressions |
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Video Definition 23--Rationals and Radicals--Partial Fraction Decomposition of a Rational Expression (Spanish Audio) | Video Definition 23--Rationals and Radicals--Partial Fraction Decomposition of a Rational Expression (Spanish Audio)
TopicRationals and Radicals |
Rational Expressions |
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Video Definition 24--Equation Concepts--Numerical Expression | Video Definition 24--Equation Concepts--Numerical Expression
TopicEquations DescriptionA Numerical Expression consists of numbers and operations without variables. Examples include 2 + 3 = 5 and 2(4 + 3) = 14. This term highlights fundamental operations, foundational for understanding and solving equations. The topic of this video is closely tied to Equations, providing an essential understanding of its fundamental concepts. This video explores the mathematics behind this topic by delving into how key principles are applied in practical contexts. |
Numerical Expressions |
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Video Definition 27--Linear Function Concepts--Linear Expression | Video Definition 27--Linear Function Concepts--Linear Expression
TopicLinear Functions DescriptionThe term is "Linear Expression," defined as an algebraic expression consisting of at least one term where the variable has an exponent of 1. Examples include x, 2x - 3, and -4x + 8. This term establishes the foundation of linear algebra by focusing on the simplest forms of linear relationships. |
Variable Expressions |
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Video Definition 28--Rationals and Radicals--Radical Expression | Video Definition 28--Rationals and Radicals--Radical Expression
TopicRationals and Radicals DescriptionA radical expression includes terms under a radical sign, such as √2 or x + √(b2 - a). Examples illustrate simple and complex radical forms. Defines and illustrates the structure of radical expressions, serving as a basis for simplification and operations. |
Radical Expressions |
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Video Definition 28--Rationals and Radicals--Radical Expression (Spanish Audio) | Video Definition 28--Rationals and Radicals--Radical Expression (Spanish Audio)
TopicRationals and Radicals DescriptionA radical expression includes terms under a radical sign, such as √2 or x + √(b2 - a). Examples illustrate simple and complex radical forms. Defines and illustrates the structure of radical expressions, serving as a basis for simplification and operations. This video includes Spanish audio and can be used with multilingual learners. |
Radical Expressions |
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Video Definition 35--Rationals and Radicals--Rational Expressions | Video Definition 35--Rationals and Radicals--Rational Expressions
TopicRationals and Radicals DescriptionRational Expressions are ratios of two polynomials, such as (x + 1) / (x - 1). They demonstrate how polynomials can form fractions with numerical denominators. Demonstrates how polynomials form the basis for more complex fractional expressions. |
Rational Expressions |
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Video Definition 35--Rationals and Radicals--Rational Expressions (Spanish Audio) | Video Definition 35--Rationals and Radicals--Rational Expressions (Spanish Audio)
TopicRationals and Radicals DescriptionRational Expressions are ratios of two polynomials, such as (x + 1) / (x - 1). They demonstrate how polynomials can form fractions with numerical denominators. Demonstrates how polynomials form the basis for more complex fractional expressions. This video includes Spanish audio and can be used with multilingual learners. |
Rational Expressions |
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Video Definition 39--Equation Concepts--Variable Expression | Video Definition 39--Equation Concepts--Variable Expression
TopicEquations DescriptionVariable Expression. A variable expression is made up of numbers, operations, and variables. Examples include 2x + 3 = 5 (expression on the left), 4 = 3x + 7 (expression on the right), and 4x + 3 = x - 5 (expressions on both sides). This connects variables to equations and highlights their role in forming relationships within mathematical contexts. |
Variable Expressions |
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Video Definition 39--Rationals and Radicals--Rationalizing an Expression | Video Definition 39--Rationals and Radicals--Rationalizing an Expression
TopicRationals and Radicals DescriptionRationalizing an Expression involves removing radicals in the denominator by multiplying by a conjugate term. For example, 1 / (√2 + 1) is rationalized by multiplying by (√2 - 1). Focuses on simplifying expressions to remove radicals, aiding in creating standard forms for fractions. |
Rational Functions and Equations |
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Video Definition 39--Rationals and Radicals--Rationalizing an Expression (Spanish Audio) | Video Definition 39--Rationals and Radicals--Rationalizing an Expression (Spanish Audio)
TopicRationals and Radicals DescriptionRationalizing an Expression involves removing radicals in the denominator by multiplying by a conjugate term. For example, 1 / (√2 + 1) is rationalized by multiplying by (√2 - 1). Focuses on simplifying expressions to remove radicals, aiding in creating standard forms for fractions. This video includes Spanish audio and can be used with multilingual learners. |
Rational Functions and Equations |
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Video Definition 4--Equation Concepts--Algebraic Expression | Video Definition 4--Equation Concepts--Algebraic Expression
TopicEquations DescriptionAn Algebraic Expression consists of numbers, operations, and variables. Unlike equations, expressions may not have an equality. Examples include 2x + 3, 4 = 3x + 7, and 4x + 3 = x - 5, demonstrating their versatility in representing mathematical relationships. This term distinguishes between expressions and equations, forming the basis for manipulating algebraic forms before solving equations. |
Numerical and Algebraic Expressions |
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Video Definition 41--Rationals and Radicals--Simplifying a Radical Expression | Video Definition 41--Rationals and Radicals--Simplifying a Radical Expression
TopicRationals and Radicals |
Radical Expressions |
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Video Definition 41--Rationals and Radicals--Simplifying a Radical Expression (Spanish Audio) | Video Definition 41--Rationals and Radicals--Simplifying a Radical Expression (Spanish Audio)
TopicRationals and Radicals |
Radical Expressions |
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Video Definition 42--Rationals and Radicals--Simplifying a Rational Expression | Video Definition 42--Rationals and Radicals--Simplifying a Rational Expression
TopicRationals and Radicals |
Rational Expressions |
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Video Definition 42--Rationals and Radicals--Simplifying a Rational Expression (Spanish Audio) | Video Definition 42--Rationals and Radicals--Simplifying a Rational Expression (Spanish Audio)
TopicRationals and Radicals |
Rational Expressions |
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Video Definition 45--Rationals and Radicals--Subtraction of Rational Expressions | Video Definition 45--Rationals and Radicals--Subtraction of Rational Expressions
TopicRationals and Radicals DescriptionSubtraction of Rational Expressions involves subtracting one rational expression from another, resulting in another rational expression. The example simplifies 1/(x + 1) - 1/(x - 1) into -2/(x2 - 1) by finding a common denominator and combining the terms. This term supports the topic by illustrating how operations on rational expressions, like subtraction, can be performed systematically. |
Rational Functions and Equations |
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Video Definition 45--Rationals and Radicals--Subtraction of Rational Expressions (Spanish Audio) | Video Definition 45--Rationals and Radicals--Subtraction of Rational Expressions (Spanish Audio)
TopicRationals and Radicals |
Rational Functions and Equations |
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Video Definition 6--Rationals and Radicals--Division of Rational Expressions | Video Definition 6--Rationals and Radicals--Division of Rational Expressions
TopicRationals and Radicals DescriptionDivision of rational expressions involves dividing one rational expression by another, resulting in a new rational expression. Examples include 1 / (2x2) ÷ 1 / (3x) = 3 / 2x and 2 / (x + 1) ÷ (3 / (x - 1)) = 2(x - 1) / 3(x + 1). This operation is crucial for manipulating and simplifying rational expressions in algebra. |
Rational Functions and Equations |
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Video Definition 6--Rationals and Radicals--Division of Rational Expressions (Spanish Audio) | Video Definition 6--Rationals and Radicals--Division of Rational Expressions (Spanish Audio)
TopicRationals and Radicals DescriptionDivision of rational expressions involves dividing one rational expression by another, resulting in a new rational expression. Examples include 1 / (2x2) ÷ 1 / (3x) = 3 / 2x and 2 / (x + 1) ÷ (3 / (x - 1)) = 2(x - 1) / 3(x + 1). This operation is crucial for manipulating and simplifying rational expressions in algebra. |
Rational Functions and Equations |
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Video Transcript: Algebra Nspirations: Rational Functions and Expressions | Video Transcript: Algebra Nspirations: Rational Functions and Expressions
This is the transcript for the video of same title. Video contents: After briefly reviewing the concept of inverse variation, this video explores Boyle??s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes |
Rational Expressions and Rational Functions and Equations |
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Video Transcript: Algebra Nspirations: Rational Functions and Expressions, 1 | Video Transcript: Algebra Nspirations: Rational Functions and Expressions, Part 1
This is the transcript for the video of same title. Video contents: In this Investigation we look at an application of rational functions: Boyle's Law. This is part of a collection of video transcript from the Algebra Nspirations video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Rational Expressions and Rational Functions and Equations |
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Video Transcript: Algebra Nspirations: Rational Functions and Expressions, 2 | Video Transcript: Algebra Nspirations: Rational Functions and Expressions, Part 2
This is the transcript for the video of same title. Video contents: In this Investigation we look at graphs of rational functions. This is part of a collection of video transcript from the Algebra Nspirations video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Rational Expressions and Rational Functions and Equations |
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Video Transcript: Algebra Tiles: Modeling Variable Expressions Using Algebra Tiles | Video Transcript: Algebra Tiles: Modeling Variable Expressions Using Algebra Tiles
What Are Algebra Tiles?Numerical Models |
Algebra Tiles--Expressions and Equations |
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Video Transcript: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles | Video Transcript: Algebra Tiles: Simplifying Variable Expressions Using Algebra Tiles
What Are Algebra Tiles?Numerical Models |
Algebra Tiles--Expressions and Equations |
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Video Transcript: Integers: Numerical Expressions with Integers | Video Transcript: Integers: Numerical Expressions with Integers
This is the transcript that goes with the video segment entitled Video: Integers: Numerical Expressions with Integers. This is part of a collection of video transcripts for the video tutorial series on Integers. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Numerical Expressions |
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Video Transcript: Integers: Variable Expressions with Integers | Video Transcript: Integers: Variable Expressions with Integers
This is the transcript that goes with the video segment entitled Video Tutorial: Integers: Variable Expressions with Integers. This is part of a collection of video transcripts for the video tutorial series on Integers. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Numerical Expressions |
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Video Transcript: Rational Numbers: Numerical Expressions with Rational Numbers | Video Transcript: Rational Numbers: Numerical Expressions with Rational Numbers
This is the transcript that goes with the video segment entitled Video: Rational Numbers: Numerical Expressions with Rational Numbers. This is part of a collection of video transcripts for the video tutorial series on Rational Numbers. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Rational Expressions |
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Video Transcript: Rational Numbers: Variable Expressions with Rational Numbers | Video Transcript: Rational Numbers: Variable Expressions with Rational Numbers
This is the transcript that goes with the video segment entitled Video Tutorial: Rational Numbers: Variable Expressions with Rational Numbers. This is part of a collection of video transcripts for the video tutorial series on Rational Numbers. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Rational Expressions |
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Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Adding and Subtracting Rational Expressions | Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Adding and Subtracting Rational Expressions
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Adding and Subtracting Rational Expressions. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Rational Expressions |
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Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Multiplying Rational Expressions | Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Multiplying Rational Expressions
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Multiplying Rational Expressions. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Rational Expressions |
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Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Simplifying Rational Expressions | Video Transcript: TI-Nspire Mini-Tutorial: (CAS) Simplifying Rational Expressions
This is the transcript for the TI-Nspire Mini-Tutorial entitled, Simplifying Rational Expressions. This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Rational Expressions |
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Video Tutorial: Factorial Expressions | Video Tutorial: Factorial Expressions
TopicPolynomials DescriptionThis video discusses factorials and their applications in counting, permutations, and combinations. It explains the growth of factorials, illustrating how they are used for calculating arrangements and combinations. Examples cover permutations of objects, arranging items, and deriving combinations for groups. Key terms include factorials, permutations, combinations, and the fundamental counting principle. Applications extend to password generation and probability calculations. The segment bridges counting techniques with practical problem-solving. |
Combinatorics and Factoring Polynomials |
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Worksheet: Analyzing Expressions, Worksheet 1 | Worksheet: Analyzing Expressions, Worksheet 1
This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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Worksheet: Analyzing Expressions, Worksheet 2 | Worksheet: Analyzing Expressions, Worksheet 2
This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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Worksheet: Analyzing Expressions, Worksheet 3 | Worksheet: Analyzing Expressions, Worksheet 3
This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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Worksheet: Analyzing Expressions, Worksheet 4 | Worksheet: Analyzing Expressions, Worksheet 4
This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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Worksheet: Analyzing Expressions, Worksheet 5 | Worksheet: Analyzing Expressions, Worksheet 5
This is part of a collection of math worksheets on the topic of analyzing linear and quadratic expressions to identify specific terms based on a description. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Numerical and Algebraic Expressions |
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Worksheet: Evaluating Exponential Expressions, Set 1 | Worksheet: Evaluating Exponential Expressions, Set 1
This is part of a collection of math worksheets on the topic of evaluating exponential expressions. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Exponential and Logarithmic Functions and Equations |
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Worksheet: Evaluating Exponential Expressions, Set 10 | Worksheet: Evaluating Exponential Expressions, Set 10
This is part of a collection of math worksheets on the topic of evaluating exponential expressions. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Exponential and Logarithmic Functions and Equations |
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Worksheet: Evaluating Exponential Expressions, Set 11 | Worksheet: Evaluating Exponential Expressions, Set 11
This is part of a collection of math worksheets on the topic of evaluating exponential expressions. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Exponential and Logarithmic Functions and Equations |
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Worksheet: Evaluating Exponential Expressions, Set 12 | Worksheet: Evaluating Exponential Expressions, Set 12
This is part of a collection of math worksheets on the topic of evaluating exponential expressions. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Exponential and Logarithmic Functions and Equations |
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Worksheet: Evaluating Exponential Expressions, Set 13 | Worksheet: Evaluating Exponential Expressions, Set 13
This is part of a collection of math worksheets on the topic of evaluating exponential expressions. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Exponential and Logarithmic Functions and Equations |
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Worksheet: Evaluating Exponential Expressions, Set 14 | Worksheet: Evaluating Exponential Expressions, Set 14
This is part of a collection of math worksheets on the topic of evaluating exponential expressions. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Exponential and Logarithmic Functions and Equations |
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Worksheet: Evaluating Exponential Expressions, Set 15 | Worksheet: Evaluating Exponential Expressions, Set 15
This is part of a collection of math worksheets on the topic of evaluating exponential expressions. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Exponential and Logarithmic Functions and Equations |
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Worksheet: Evaluating Exponential Expressions, Set 16 | Worksheet: Evaluating Exponential Expressions, Set 16
This is part of a collection of math worksheets on the topic of evaluating exponential expressions. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Exponential and Logarithmic Functions and Equations |
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Worksheet: Evaluating Exponential Expressions, Set 17 | Worksheet: Evaluating Exponential Expressions, Set 17
This is part of a collection of math worksheets on the topic of evaluating exponential expressions. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Worksheet LibraryTo see the complete collection of Worksheets, click on this link. |
Exponential and Logarithmic Functions and Equations |