What is a system of linear equations?
4.1 to 4.3A Review Algebra 1

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Mathematics
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9th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
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 solve a system of linear equations by substitution?
Back
1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system has at least one solution, meaning the lines intersect at one or more points.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system has no solutions, meaning the lines are parallel and never intersect.
5.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A straight line on a coordinate plane, where each point on the line represents a solution to the equation.
6.
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.
7.
FLASHCARD QUESTION
Front
How do you find the slope of a line given two points (x1, y1) and (x2, y2)?
Back
Slope (m) = (y2 - y1) / (x2 - x1).
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