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Elle M
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A comprehensive guide to solving inequalities algebra 1 and systems of equations, covering essential methods including substitution and elimination, with detailed explanations of strict and non-strict inequalities, interval notation, and problem-solving strategies.
10/18/2023
464
This page covers two main methods for solving system of equations: substitution and elimination, providing detailed explanations of each approach.
Definition: Substitution method involves solving one equation for a variable and inserting that expression into the other equation to solve the system.
Highlight: When solving a system with two variables, the solution should be written as an ordered pair, following standard mathematical convention.
Example: The elimination method involves combining equations to create new equations with fewer variables, making the system easier to solve.
Vocabulary: Key terms for solving systems:
Quote: "When using elimination, look for the easiest variables to eliminate first."
Highlight: The elimination method is particularly effective for solving nonlinear equations, but should be used strategically rather than arbitrarily eliminating variables.
This page introduces fundamental concepts of solving inequalities algebra 1 and explains key notation systems. The isolation method is presented as the primary approach for solving both equations and inequalities.
Definition: Strict inequalities indicate that two sides cannot be equal, while non-strict inequalities allow the sides to be equal.
Example: When solving an equation like 5r-2=10-r, you can verify the solution by substituting it back into the original equation:
Highlight: When multiplying or dividing an inequality by a negative number, you must reverse the direction of the inequality sign - this is a crucial solving inequalities rule.
Vocabulary: Interval notation components:
Example: Interval notation examples:
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Elle M
@ellem_soms
·
11 Followers
Follow
A comprehensive guide to solving inequalities algebra 1 and systems of equations, covering essential methods including substitution and elimination, with detailed explanations of strict and non-strict inequalities, interval notation, and problem-solving strategies.
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This page covers two main methods for solving system of equations: substitution and elimination, providing detailed explanations of each approach.
Definition: Substitution method involves solving one equation for a variable and inserting that expression into the other equation to solve the system.
Highlight: When solving a system with two variables, the solution should be written as an ordered pair, following standard mathematical convention.
Example: The elimination method involves combining equations to create new equations with fewer variables, making the system easier to solve.
Vocabulary: Key terms for solving systems:
Quote: "When using elimination, look for the easiest variables to eliminate first."
Highlight: The elimination method is particularly effective for solving nonlinear equations, but should be used strategically rather than arbitrarily eliminating variables.
Learn faster and better with thousand of available study notes
By signing up you accept Terms of Service and Privacy Policy
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page introduces fundamental concepts of solving inequalities algebra 1 and explains key notation systems. The isolation method is presented as the primary approach for solving both equations and inequalities.
Definition: Strict inequalities indicate that two sides cannot be equal, while non-strict inequalities allow the sides to be equal.
Example: When solving an equation like 5r-2=10-r, you can verify the solution by substituting it back into the original equation:
Highlight: When multiplying or dividing an inequality by a negative number, you must reverse the direction of the inequality sign - this is a crucial solving inequalities rule.
Vocabulary: Interval notation components:
Example: Interval notation examples:
Learn faster and better with thousand of available study notes
By signing up you accept Terms of Service and Privacy Policy
Average App Rating
Students use Knowunity
In Education App Charts in 12 Countries
Students uploaded study notes
iOS User
Stefan S, iOS User
SuSSan, iOS User
