Systems of Equations Word Problems

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+6
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 represent a word problem as a system of equations?
Back
Identify the variables, translate the relationships and conditions into equations, and ensure they 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, meaning their graphs intersect at one or more points.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What is the difference between independent and dependent systems of equations?
Back
Independent systems have exactly one solution (intersecting lines), while dependent systems have infinitely many solutions (coincident lines).
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What is an inconsistent system of equations?
Back
An inconsistent system has no solutions, meaning the equations represent parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How can you solve a system of equations graphically?
Back
By plotting each equation on the same graph and identifying the point(s) where they intersect.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is substitution in solving systems of equations?
Back
Substitution involves solving one equation for a variable and then substituting that expression into the other equation.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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