Solving Systems of Equations
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+3
Standards-aligned
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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 simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations by substitution?
Back
Solving by substitution involves solving one equation for one variable and then substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
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 remaining variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has one solution, no solution, or infinitely many solutions?
Back
A system has one solution if the lines intersect at a single point, no solution if the lines are parallel, and infinitely many solutions if the lines coincide.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is the graphical interpretation of a system of equations?
Back
The graphical interpretation involves plotting the equations on a coordinate plane; the points of intersection represent the solutions.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by substitution?
Back
The first step is to isolate one variable in one of the equations.
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in a system of linear equations?
Back
Coefficients determine the slope and position of the lines represented by the equations, affecting the number of solutions.
Tags
CCSS.8.EE.C.8A
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