H. Alg II Chap 3 CFA #3
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
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 variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solutions?
Back
It means that the lines represented by the equations are parallel and never intersect.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
It means that the equations represent the same line, and every point on that line is a solution.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
How do you determine the number of solutions in a system of equations?
Back
By analyzing the slopes and intercepts of the lines represented by the equations. If they are the same, there are infinitely many solutions; if they are different, there is one solution; if they are parallel, there are no solutions.
Tags
CCSS.8.EE.C.8B
5.
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
6.
FLASHCARD QUESTION
Front
Solve the system of equations using elimination: 2x + 3y = 6 and 4x + 6y = 12.
Back
Infinitely many solutions.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
Solve the system of equations using substitution: y = 2x + 3 and y = -x + 1.
Back
(1, 5)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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