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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 ≥.
A ________ is any set of ordered pairs.
A ________ is any set of ordered pairs.
________ 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.
What is the set of the first coordinates of each ordered pair?
What is the set of the first coordinates of each ordered pair?
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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