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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 (A)
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
Simplify this Rational Algebraic Expression: 15n/30n^3
Simplify this Rational Algebraic Expression: 15n/30n^3
What is a Rational Algebraic Expression?
What is a Rational Algebraic Expression?
Find the LCD of 2/x + 1/2.
Find the LCD of 2/x + 1/2.
What type of expression are the numerator and denominator in RAE?
What type of expression are the numerator and denominator in RAE?
Simplify: x + 6/x^2 + 5x − 6.
Simplify: x + 6/x^2 + 5x − 6.
What is a Rational Algebraic Equation?
What is a Rational Algebraic Equation?
Find the LCD of 3x and 2x.
Find the LCD of 3x and 2x.
These are equations that contain one or more Rational Algebraic Expressions.
These are equations that contain one or more Rational Algebraic Expressions.
Simplify: 2r − 4/r − 2.
Simplify: 2r − 4/r − 2.
Refers to the equality of Rational Expressions.
Refers to the equality of Rational Expressions.
Find the LCD of 2x and 2x.
Find the LCD of 2x and 2x.
What is the sum of a number and 10?
What is the sum of a number and 10?
What is 6 more than a number?
What is 6 more than a number?
17 added to a number yields to 3.
17 added to a number yields to 3.
What is the quotient of a number and 9?
What is the quotient of a number and 9?
What is one-half of a number to 14?
What is one-half of a number to 14?
Twenty-five times a number?
Twenty-five times a number?
What is the ratio of a number to 16?
What is the ratio of a number to 16?
3 less a number amounts to 10.
3 less a number amounts to 10.
Twenty-six added to a number.
Twenty-six added to a number.
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.
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