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Questions and Answers
A _______ equation is an equation in which each term is either a constant or the product of a constant and a single variable.
A _______ equation is an equation in which each term is either a constant or the product of a constant and a single variable.
linear
A __________ is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.
A __________ is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.
polynomial
A radical equation is an equation that contains a ________ within a radical equation.
A radical equation is an equation that contains a ________ within a radical equation.
variable
A ________ inequality is an inequality of the form ax^2 + bx + c, or ≥.
A ________ inequality is an inequality of the form ax^2 + bx + c, or ≥.
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A ________ is any set of ordered pairs.
A ________ is any set of ordered pairs.
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________ is the property of an operation and a set that the performance of the operation on members of the set always yields a member of the set.
________ is the property of an operation and a set that the performance of the operation on members of the set always yields a member of the set.
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What is the set of the first coordinates of each ordered pair?
What is the set of the first coordinates of each ordered pair?
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What is a relation in which each domain element is paired with exactly one range element?
What is a relation in which each domain element is paired with exactly one range element?
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Study Notes
Linear Equations
- A linear equation has terms that include constants or the product of a constant and a single variable.
Polynomials
- A polynomial is composed of constants and variables, connected through addition and multiplication operations.
Radical Equations
- A radical equation features at least one radical expression, which includes a square root or other roots.
Quadratic Inequalities
- Quadratic inequalities take the form of ax² + bx + c, where the relation includes inequality symbols such as ≥ or ≤.
Relations
- A relation consists of a set of ordered pairs, demonstrating the connection between two sets of values.
Closure Property
- Closure refers to the guarantee that performing an operation on members of a set will always result in another member of the same set.
Domain
- The domain identifies the set of first coordinates (x-values) from each ordered pair in a relation.
Functions
- A function is a specific type of relation where each element of the domain corresponds to exactly one element in the range, ensuring no repeated x-values.
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Test your knowledge with our Algebra II practice test flashcards. This quiz covers essential concepts such as linear equations, polynomials, and variables. Perfect for students looking to reinforce their understanding of algebra.