Solving Linear Systems: Graphing, Substitution, Elimination

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 linear system?
Back
A linear system is a collection of two or more linear equations involving the same variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean to solve a linear system?
Back
To solve a linear system means to find the values of the variables that satisfy all equations in the system simultaneously.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
FLASHCARD QUESTION
Front
What are the three main methods for solving linear systems?
Back
The three main methods are graphing, substitution, and elimination.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
How do you solve a linear system by graphing?
Back
To solve by graphing, plot each equation on the same coordinate plane and identify the point(s) where the lines intersect.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What is substitution in solving linear systems?
Back
Substitution 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
What is elimination in solving linear systems?
Back
Elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What is the solution to the system of equations: x + y = 10 and x - y = 2?
Back
The solution is (6, 4).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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