Systems of equations
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables that are solved together.
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 graphically?
Back
It means to find the point(s) where the graphs of the equations intersect, which represents the solution(s) to the system.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
A method where one equation is solved for one variable, and that expression is substituted 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
A method where equations are added or subtracted 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 is the solution to the system of equations y = 2x + 1 and y = -x + 4?
Back
(1, 3)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has no solution?
Back
If the equations represent parallel lines, they will never intersect, indicating no solution.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means the equations represent the same line, and every point on that line is a solution.
Tags
CCSS.8.EE.C.8A
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