Writing Systems of Equations
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+5
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 set of values that satisfy all equations in the system.
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 it mean for two equations to be consistent?
Back
Two equations are consistent if they have at least one solution in common.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What does it mean for two equations to be independent?
Back
Two equations are independent if they represent different lines that intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What does it mean for two equations to be dependent?
Back
Two equations are dependent if they represent the same line, meaning they have infinitely many solutions.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
How can you solve a system of equations graphically?
Back
By graphing each equation on the same coordinate plane and identifying the point(s) where the lines intersect.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is substitution in solving systems of equations?
Back
Substitution is a method where you solve one equation for one variable and then substitute that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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