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Questions and Answers
In what form is Rational Algebraic Expression?
In what form is Rational Algebraic Expression?
Fraction Form (n/d)
Denominator is not equal to zero.
Denominator is not equal to zero.
True
What is a Rational Algebraic Equation?
What is a Rational Algebraic Equation?
Equations that contain one or more Rational Expressions
Simplify this Rational Algebraic Expression: 16p^2 / 28p
Simplify this Rational Algebraic Expression: 16p^2 / 28p
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Simplify this Rational Algebraic Expression: 15n/30n^3
Simplify this Rational Algebraic Expression: 15n/30n^3
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What is a Rational Algebraic Expression?
What is a Rational Algebraic Expression?
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Find the LCD of 2/x + 1/2.
Find the LCD of 2/x + 1/2.
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What type of expression are the numerator and denominator in RAE?
What type of expression are the numerator and denominator in RAE?
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Simplify: x + 6/x^2 + 5x − 6.
Simplify: x + 6/x^2 + 5x − 6.
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What is a Rational Algebraic Equation?
What is a Rational Algebraic Equation?
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Find the LCD of 3x and 2x.
Find the LCD of 3x and 2x.
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These are equations that contain one or more Rational Algebraic Expressions.
These are equations that contain one or more Rational Algebraic Expressions.
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Simplify: 2r − 4/r − 2.
Simplify: 2r − 4/r − 2.
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Refers to the equality of Rational Expressions.
Refers to the equality of Rational Expressions.
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Find the LCD of 2x and 2x.
Find the LCD of 2x and 2x.
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What is the sum of a number and 10?
What is the sum of a number and 10?
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What is 6 more than a number?
What is 6 more than a number?
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17 added to a number yields to 3.
17 added to a number yields to 3.
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What is the quotient of a number and 9?
What is the quotient of a number and 9?
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What is one-half of a number to 14?
What is one-half of a number to 14?
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Twenty-five times a number?
Twenty-five times a number?
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What is the ratio of a number to 16?
What is the ratio of a number to 16?
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3 less a number amounts to 10.
3 less a number amounts to 10.
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Twenty-six added to a number.
Twenty-six added to a number.
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Seven less a number.
Seven less a number.
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Study Notes
Rational Algebraic Expressions
- Formed as a fraction of two polynomials (n/d).
- Must have a non-zero denominator to be valid.
Rational Algebraic Equations
- Contain one or more rational expressions.
- Represent an equality involving rational expressions.
Simplification of Rational Expressions
- Example: 16p² / 28p simplifies to 4p / 7.
- Example: 15n / 30n³ simplifies to 1 / 2n².
- Example: Simplifying (x + 6) / (x² + 5x - 6) results in 1 / (x - 1).
- Example: (2r - 4) / (r - 2) simplifies to 2.
Finding Least Common Denominator (LCD)
- LCD of 2/x + 1/2 is 2x.
- LCD of 3x and 2x is 6x.
- LCD of 2x and 2x is 4x.
Characteristics of Rational Expressions
- Both the numerator and denominator must be polynomials.
- They are expressed as a ratio of two polynomial functions.
Simple Algebraic Terms
- x + 10 represents the sum of a number and 10.
- x + 6 indicates six more than a number.
- x + 17 = 3 describes adding 17 to a number resulting in 3.
- x/9 denotes the quotient of a number and 9.
- x/14 signifies one-half of a number.
- 25x is the representation of twenty-five times a number.
- x/16 shows the ratio of a number to 16.
- 3 - x = 10 conveys that three less a number equals ten.
- x + 26 indicates twenty-six added to a number.
- 7 - x represents seven less a number.
Studying That Suits You
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Description
Test your knowledge of Rational Algebraic Expressions and Equations with these flashcards. Each card presents a term or concept followed by its definition, covering essential properties and simplification techniques. Perfect for students looking to reinforce their understanding of rational algebra.
