Writing Systems of Equations

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 set of values that satisfy all equations in the system.
2.
FLASHCARD QUESTION
Front
How do you represent a word problem as a system of equations?
Back
Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.
3.
FLASHCARD QUESTION
Front
What does it mean for two equations to be consistent?
Back
Two equations are consistent if they have at least one solution in common.
4.
FLASHCARD QUESTION
Front
What does it mean for two equations to be independent?
Back
Two equations are independent if they have exactly one solution, meaning they intersect at a single point.
5.
FLASHCARD QUESTION
Front
What does it mean for two equations to be dependent?
Back
Two equations are dependent if they represent the same line, meaning they have infinitely many solutions.
6.
FLASHCARD QUESTION
Front
How do you solve a system of 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.
7.
FLASHCARD QUESTION
Front
How do you solve a system of equations by elimination?
Back
1. Align the equations. 2. Multiply one or both equations to get opposite coefficients for one variable. 3. Add or subtract the equations to eliminate that variable.
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