What is a system of linear equations?
Systems 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 is the point(s) where the graphs of the equations intersect.
2.
FLASHCARD QUESTION
Front
What does it mean for two lines to intersect in a graph of linear equations?
Back
When two lines intersect, it means that there is a common solution to the system of equations represented by those lines. The coordinates of the intersection point are the values of the variables that satisfy both equations.
3.
FLASHCARD QUESTION
Front
How can you estimate the solution of a system of linear equations from a graph?
Back
You can estimate the solution by identifying the point where the two lines intersect on the graph. This point gives the values of the variables that solve both equations.
4.
FLASHCARD QUESTION
Front
What is the solution to the system of equations represented by the lines y = 2x + 1 and y = -x + 4?
Back
The solution is (1, 3), where the two lines intersect.
5.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of linear equations?
Back
If two lines are parallel, it means they have the same slope but different y-intercepts, indicating that there is no solution to the system of equations.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A linear equation can be represented graphically as a straight line on a coordinate plane, where the x-axis represents the independent variable and the y-axis represents the dependent variable.
7.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run). It indicates how much y changes for a unit change in x.
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