What is a system of linear equations?
Writing System of Linear Equations

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A system of linear equations is a set of two or more linear equations with the same variables. The solution to the system is the point(s) where the equations intersect on a graph.
2.
FLASHCARD QUESTION
Front
How do you represent a word problem as a system of equations?
Back
To represent a word problem as a system of equations, identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the total quantities and values described in the problem.
3.
FLASHCARD QUESTION
Front
What does the slope of a line represent in a linear equation?
Back
The slope of a line in a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.
4.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis. In the equation y = mx + b, 'b' represents the y-intercept.
5.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has one solution, no solution, or infinitely many solutions?
Back
A system has one solution if the lines intersect at a single point, no solution if the lines are parallel (same slope, different y-intercepts), and infinitely many solutions if the lines are the same (coincident lines).
6.
FLASHCARD QUESTION
Front
What is the substitution method for solving systems of equations?
Back
The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of both variables.
7.
FLASHCARD QUESTION
Front
What is the elimination method for solving systems of equations?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the remaining variable.
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