Systems of Equations

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 by elimination?
Back
Solving by elimination 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
3.
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 then substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the graphical method for solving systems of equations?
Back
The graphical method involves graphing each equation on the same coordinate plane and identifying the point(s) where they intersect.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is the standard form of a linear equation?
Back
The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
6.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has no solution?
Back
A system has no solution if the equations represent parallel lines, which means they never intersect.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
How do you determine if a system of equations has infinitely many solutions?
Back
A system has infinitely many solutions if the equations represent the same line, meaning they overlap completely.
Tags
CCSS.8.EE.C.8A
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