Algebra - Unit 5 Review - Systems of Equations
Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
+4
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
How do you determine if a point is a solution to a system of equations?
Back
Substitute the coordinates of the point into each equation. If the point satisfies all equations, it is a solution.
3.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The graphical representation is the intersection point(s) of the lines represented by the equations.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A consistent system has at least one solution, meaning the lines intersect at one or more points.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be inconsistent?
Back
An inconsistent system has no solutions, meaning the lines are parallel and never intersect.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
The substitution method involves solving one equation for one variable and substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
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
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