Podcast
Questions and Answers
A linear ___ is a mathematical statement that two linear expressions, or a linear expression and a constant, are equal.
A linear ___ is a mathematical statement that two linear expressions, or a linear expression and a constant, are equal.
equation
A linear ___ is a mathematical statement that two linear expressions, or a linear expression and a constant, are not equal.
A linear ___ is a mathematical statement that two linear expressions, or a linear expression and a constant, are not equal.
inequality
A linear ___ is a set of two or more linear equations or inequalities considered together.
A linear ___ is a set of two or more linear equations or inequalities considered together.
system
The ___ form of a linear equation is an equation in the form Ax + By = C with not both A and B equal to zero.
The ___ form of a linear equation is an equation in the form Ax + By = C with not both A and B equal to zero.
Every linear function with a(n) ___ slope will have an inverse function.
Every linear function with a(n) ___ slope will have an inverse function.
The method of solving a system of equations or inequalities by systematically adding or subtracting a multiple of one equation to a multiple of another to eliminate a variable is called ___ elimination.
The method of solving a system of equations or inequalities by systematically adding or subtracting a multiple of one equation to a multiple of another to eliminate a variable is called ___ elimination.
A function composed with its ___ function will always equal x.
A function composed with its ___ function will always equal x.
A ___ function is a function defined differently on different intervals of the function's domain.
A ___ function is a function defined differently on different intervals of the function's domain.
Flashcards
Linear Equation
Linear Equation
A mathematical statement where two linear expressions or a linear expression and a constant are equal.
Linear Inequality
Linear Inequality
A mathematical statement where two linear expressions or a linear expression and a constant are not equal.
Linear System
Linear System
A set of two or more linear equations or inequalities considered together.
Standard Form
Standard Form
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Nonzero Slope
Nonzero Slope
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Gaussian Elimination
Gaussian Elimination
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Inverse Function
Inverse Function
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Piecewise Function
Piecewise Function
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Linear Equation Example
Linear Equation Example
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Linear Inequality Example
Linear Inequality Example
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Linear System Example
Linear System Example
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Nonzero Slope Example
Nonzero Slope Example
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Inverse Function Example
Inverse Function Example
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Piecewise Function Example
Piecewise Function Example
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Solving systems of linear equations
Solving systems of linear equations
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Graphing linear equations and inequalities
Graphing linear equations and inequalities
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Solving linear inequalities
Solving linear inequalities
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Study Notes
Algebra II Unit 2 Key Concepts
- A linear equation equates two linear expressions or a linear expression and a constant.
- A linear inequality expresses that two linear expressions or a linear expression and a constant are not equal.
- A system consists of two or more linear equations or inequalities considered together, allowing for simultaneous solutions.
- The standard form of a linear equation is expressed as Ax + By = C, where not both A and B can equal zero.
- Linear functions exhibiting a nonzero slope guarantee the existence of an inverse function, which is a critical property in function analysis.
- Gaussian elimination is a method used to solve systems of equations or inequalities by adding or subtracting multiples of equations to eliminate variables, facilitating easier solution derivation.
- Composing a function with its inverse function yields x, confirming that they undo each other's effects within their respective domains.
- A piecewise function is characterized by different definitions over distinct intervals of its domain, allowing flexibility in function behavior.
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Description
Test your knowledge with these flashcards covering key concepts from Algebra II, Unit 2. This quiz includes definitions for linear equations, inequalities, and systems of equations. Perfect for reviewing and preparing for your upcoming test.
