Flashcard 5.2-5.4 Math 1

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + by = c, where a, b, and c are constants.
2.
FLASHCARD QUESTION
Front
What does it mean for two lines to intersect?
Back
When two lines intersect, it means they cross at a single point, which represents the unique solution to the system of equations.
3.
FLASHCARD QUESTION
Front
What is the solution to a system of linear equations?
Back
The solution to a system of linear equations is the point (x, y) where the lines intersect, representing the values of the variables that satisfy all equations in the system.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
If a system of equations has no solution, it means the lines are parallel and will never intersect.
5.
FLASHCARD QUESTION
Front
What is the elimination method in solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
6.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has infinitely many solutions?
Back
A system has infinitely many solutions if the equations represent the same line, meaning they have the same slope and y-intercept.
7.
FLASHCARD QUESTION
Front
What is the value of y in the equation y = -2x - 4 when x = 2?
Back
When x = 2, y = -2(2) - 4 = -4 - 4 = -8.
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