Indicator 12-14 Solve Systems of Equations /Word Prob Set Up

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have a unique solution?
Back
It means there is exactly one set of values for the variables that satisfies all equations in the system.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means the equations represent parallel lines that never intersect.
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
It means the equations represent the same line, so any point on that line is a solution.
5.
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.
6.
FLASHCARD QUESTION
Front
How do you solve a system of equations using elimination?
Back
1. Align the equations. 2. Multiply equations if necessary to align coefficients. 3. Add or subtract equations to eliminate one variable.
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The solutions are represented by the points where the graphs of the equations intersect.
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