Systems of Equations - Review
Flashcard
•
Mathematics
•
8th 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 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 on a graph.
Tags
CCSS.8.EE.C.8B
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
A system of equations has no solution when the graphs of the equations are parallel lines, meaning they never intersect.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What is the graphical representation of intersecting lines in a system of equations?
Back
Intersecting lines represent a system of equations that has exactly one solution, which is the point of intersection.
Tags
CCSS.8.EE.C.8A
4.
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
5.
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
6.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system has at least one solution, which can be either one solution (intersecting lines) or infinitely many solutions (coincident lines).
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the solution to the system of equations 2x + 3y = 6 and x - y = 1?
Back
The solution is (3, 0).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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