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Elle M
@ellem_soms
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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
462
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.
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:
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
