Writing Systems of Equations

Flashcard
•
Mathematics
•
9th - 12th 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 to the system is the set of values that satisfy all equations simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
How do you represent a word problem as a system of equations?
Back
Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.
Tags
CCSS.HSA.CED.A.3
3.
FLASHCARD QUESTION
Front
What does the variable 'x' typically represent in a system of equations?
Back
In a system of equations, 'x' usually represents one of the unknown quantities that we are trying to solve for.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does the variable 'y' typically represent in a system of equations?
Back
In a system of equations, 'y' usually represents another unknown quantity that we are trying to solve for, often related to 'x'.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by substitution?
Back
Solve one of the equations for one variable in terms of the other variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is the first step in solving a system of equations by elimination?
Back
Align the equations and manipulate them (by addition or subtraction) to eliminate one variable.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
It means that the equations represent parallel lines that never intersect, indicating that there are no values for the variables that satisfy all equations.
Tags
CCSS.8.EE.C.8A
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