System of Equations Write and Solve Practice

Flashcard
•
Mathematics
•
9th Grade
•
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 graphically?
Back
To solve graphically, plot each equation on the same graph and identify the point(s) where they intersect.
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means the lines represented by the equations are parallel and never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means the equations represent the same line, so every point on the line is a solution.
5.
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 substituting that expression into the other equation.
6.
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 other.
7.
FLASHCARD QUESTION
Front
How can you represent a word problem as a system of equations?
Back
Identify the variables, translate the relationships and conditions into equations, and set them up as a system.
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