Linear Inequalities Word Problem Practice
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality?
Back
A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (such as <, >, ≤, or ≥).
2.
FLASHCARD QUESTION
Front
How do you represent a budget constraint using a linear inequality?
Back
A budget constraint can be represented by a linear inequality where the total cost of items does not exceed a specified budget. For example, if items cost x and y, and the budget is B, the inequality is ax + by ≤ B.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in a linear inequality?
Back
The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.
4.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in a linear inequality?
Back
The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.
5.
FLASHCARD QUESTION
Front
How do you write an inequality for a situation where a student cannot spend more than $20 on snacks?
Back
The inequality would be 2.5x + 1.75y ≤ 20, where x is the number of hot chips and y is the number of sodas.
6.
FLASHCARD QUESTION
Front
What is the first step in solving a linear inequality?
Back
The first step is to isolate the variable on one side of the inequality, similar to solving an equation.
7.
FLASHCARD QUESTION
Front
What is the difference between a linear equation and a linear inequality?
Back
A linear equation states that two expressions are equal, while a linear inequality shows that one expression is less than, greater than, or not equal to another.
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