
Systems of Inequalities Word Problems
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of inequalities?
Back
A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the region where the shaded areas of the inequalities overlap.
2.
FLASHCARD QUESTION
Front
How do systems of equations differ from systems of inequalities?
Back
Systems of equations have specific solutions (one, none, or infinitely many), while systems of inequalities can have a range of solutions represented by shaded regions.
3.
FLASHCARD QUESTION
Front
What does the symbol '≥' mean in an inequality?
Back
The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to a certain number.
4.
FLASHCARD QUESTION
Front
How can you represent a word problem as an inequality?
Back
Identify the quantities involved, determine the relationship (greater than, less than, etc.), and express it using variables and inequality symbols.
5.
FLASHCARD QUESTION
Front
What is the first step in solving a system of inequalities?
Back
The first step is to graph each inequality on the same coordinate plane to find the overlapping region that represents the solution.
6.
FLASHCARD QUESTION
Front
In the inequality 5x + 10 ≥ 100, what does 'x' represent?
Back
'x' represents the number of hours Joan needs to babysit to earn at least $100 for her calculator.
7.
FLASHCARD QUESTION
Front
How do you interpret the solution of a system of inequalities?
Back
The solution is interpreted as all the possible values that satisfy all inequalities in the system, often represented as a shaded region on a graph.
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