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 set of values that satisfy all equations in the system.
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) Substitution, 2) Elimination, 3) Graphing.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
When is substitution the best method to use?
Back
Substitution is best used when one equation is easily solvable for one variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean to eliminate a variable in a system of equations?
Back
To eliminate a variable means to manipulate the equations so that one variable is removed, allowing for the other variable to be solved.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the elimination method?
Back
The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
How do you determine which variable to eliminate?
Back
Choose the variable that can be easily eliminated, often based on the coefficients of the variables in the equations.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
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 the point(s) where the graphs intersect.
Tags
CCSS.8.EE.C.8B
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