Honors Algebra - Unit 5 Review - Systems of Equations 2024
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Mathematics
•
8th - 12th Grade
•
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 with the same variables. The solution is the region where the graphs of the inequalities overlap.
2.
FLASHCARD QUESTION
Front
How do you graph an inequality like y > x - 2?
Back
To graph y > x - 2, first graph the line y = x - 2 as a dashed line (since it's not inclusive). Then shade the area above the line.
3.
FLASHCARD QUESTION
Front
What does the symbol '≤' mean in an inequality?
Back
The symbol '≤' means 'less than or equal to'. It indicates that the value can be less than or equal to a certain number.
4.
FLASHCARD QUESTION
Front
How do you find the intersection point of two lines represented by equations?
Back
To find the intersection point, solve the equations simultaneously, either by substitution or elimination methods.
5.
FLASHCARD QUESTION
Front
What is the significance of the solution to a system of equations?
Back
The solution to a system of equations represents the point(s) where the graphs of the equations intersect, indicating the values of the variables that satisfy all equations.
6.
FLASHCARD QUESTION
Front
What is the first step in solving a word problem involving systems of equations?
Back
The first step is to define the variables that represent the unknown quantities in the problem.
7.
FLASHCARD QUESTION
Front
How can you determine if a point satisfies a system of inequalities?
Back
To determine if a point satisfies a system of inequalities, substitute the point's coordinates into each inequality and check if all inequalities hold true.
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