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Questions and Answers
What type of numbers are not considered algebraic?
What type of numbers are not considered algebraic?
Which of the following is an algebraic expression?
Which of the following is an algebraic expression?
What is a rational expression?
What is a rational expression?
Which operation turns a square root into an algebraic expression?
Which operation turns a square root into an algebraic expression?
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What makes an equation algebraic?
What makes an equation algebraic?
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Study Notes
Non-Algebraic Numbers
- Transcendental numbers, such as π (pi) and e (Euler's number), are not algebraic.
- These numbers cannot be the roots of any non-zero polynomial equation with rational coefficients.
Algebraic Expressions
- An expression containing numbers, variables, and operations (such as addition or multiplication) is termed an algebraic expression.
- Example of an algebraic expression: 3x² + 5x - 7.
Rational Expressions
- A rational expression is a fraction where both the numerator and the denominator are polynomials.
- Example: (2x + 3) / (x² - 1) is a rational expression.
Square Root Operations
- The operation of squaring a number converts a square root into an algebraic expression.
- For instance, if y = √x, squaring both sides gives y² = x, forming an algebraic expression.
Characteristics of Algebraic Equations
- An equation is considered algebraic if it involves variables and can be expressed as a polynomial equation.
- For example, an equation like 2x + 3 = 7 is algebraic because it can be rearranged into polynomial form.
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Description
Test your knowledge of algebraic expressions and operations with this quiz. Explore various examples and learn to identify and manipulate algebraic expressions.
