Module 6 Review (systems)
Flashcard
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more 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 equations using 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 is the graphical representation of a system of linear equations?
Back
The graphical representation is the intersection point(s) of the lines on a coordinate plane.
4.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a system of equations?
Back
A point is a solution if it satisfies all equations in the system, meaning it makes all equations true.
5.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has no solution?
Back
If the lines represented by the equations are parallel, they will never intersect, indicating no solution.
6.
FLASHCARD QUESTION
Front
What is the method of elimination in solving systems of equations?
Back
The method of elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.
7.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in a system of equations?
Back
Coefficients determine the slope and position of the lines represented by the equations, affecting their intersection.
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