A.EI.2: Creating a system of linear equation/ineq rep a context.

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the equations intersect.
2.
FLASHCARD QUESTION
Front
How do you represent a real-world situation with a linear equation?
Back
Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.
3.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations graphically?
Back
It means to find the point(s) where the graphs of the equations intersect, which represents the solution to the system.
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
5.
FLASHCARD QUESTION
Front
What is a linear inequality?
Back
A linear inequality is similar to a linear equation but uses inequality signs (>, <, ≥, ≤) instead of an equal sign.
6.
FLASHCARD QUESTION
Front
How can you represent constraints in a real-world problem using inequalities?
Back
Identify the limits or restrictions in the problem and express them as inequalities involving the relevant variables.
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.
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