Systems of Equations And Inequalities

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
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 does it mean to solve a system of equations?
Back
To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
What are the three methods to solve a system of equations?
Back
1. Graphing 2. Substitution 3. Elimination
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the substitution method?
Back
The substitution method 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
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.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is an inconsistent system of equations?
Back
An inconsistent system of equations is one that has no solution, meaning the lines represented by the equations are parallel.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What is a consistent system of equations?
Back
A consistent system of equations has at least one solution, which can be either one unique solution or infinitely many solutions.
Tags
CCSS.8.EE.C.8B
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