Word Problems Involving Linear Inequalities in Two Variables

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•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality in two variables?
Back
A linear inequality in two variables is an inequality that can be expressed in the form ax + by < c, ax + by > c, ax + by ≤ c, or ax + by ≥ c, where a, b, and c are constants and x and y are variables.
2.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in a linear inequality?
Back
The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side of the inequality is either greater than or equal to the value on the right side.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in a linear inequality?
Back
The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side of the inequality is either less than or equal to the value on the right side.
4.
FLASHCARD QUESTION
Front
How do you represent a situation where spending must be less than a certain amount using a linear inequality?
Back
You represent it by using the 'less than' symbol (<) or 'less than or equal to' symbol (≤) in the inequality.
5.
FLASHCARD QUESTION
Front
What is the standard form of a linear inequality?
Back
The standard form of a linear inequality is expressed as ax + by < c, ax + by > c, ax + by ≤ c, or ax + by ≥ c, where a, b, and c are constants.
6.
FLASHCARD QUESTION
Front
In the context of word problems, what does 'at least' indicate when forming a linear inequality?
Back
'At least' indicates that the value must be greater than or equal to a certain amount, which is represented by the symbol '≥'.
7.
FLASHCARD QUESTION
Front
In the context of word problems, what does 'no more than' indicate when forming a linear inequality?
Back
'No more than' indicates that the value must be less than or equal to a certain amount, which is represented by the symbol '≤'.
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