Unit 8 - System of Equations Review

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Mathematics
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University
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Hard
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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
How do you solve a system of equations using substitution?
Back
To solve by substitution, solve one equation for one variable, then substitute that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the elimination method in 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.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What does it mean to find the solution of a system of equations?
Back
Finding the solution means determining the values of the variables that satisfy all equations in the system simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
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 solution is where the lines intersect.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is a consistent system of equations?
Back
A consistent system has at least one solution, meaning the equations intersect at one or more points.
Tags
CCSS.8.EE.C.8A
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