Solving Systems of Equations
Flashcard
•
Mathematics
•
9th Grade
•
Hard
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 point(s) where the equations intersect.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What are the three main methods for solving systems of equations?
Back
The three main methods are: 1) Graphing, 2) Substitution, 3) Elimination.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
When is substitution the best method to solve a system of equations?
Back
Substitution is best when one equation is easily solvable for one variable, allowing for straightforward substitution into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean to graph a system of equations?
Back
Graphing a system of equations involves plotting each equation on the same coordinate plane to visually identify the point(s) of intersection, which represent the solution.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
How do you solve a system of equations using the elimination method?
Back
To use elimination, you manipulate the equations to eliminate one variable, allowing you to solve for the other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The solution to a system of equations is the set of values for the variables that satisfy all equations in the system simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the significance of the point of intersection in a graph of two lines?
Back
The point of intersection represents the solution to the system of equations, indicating the values of the variables that satisfy both equations.
Tags
CCSS.8.EE.C.8B
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