Solve Systems by Graphing and Substitution
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A set of 2 or more equations that have the same variables.
2.
FLASHCARD QUESTION
Front
How do you solve a system of equations by graphing?
Back
Plot both equations on the same graph and identify the point(s) where they intersect.
3.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a system of equations?
Back
It means that the point satisfies all equations in the system.
4.
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 another equation.
5.
FLASHCARD QUESTION
Front
Solve by substitution: y = 2x + 3, x = 1.
Back
(1, 5)
6.
FLASHCARD QUESTION
Front
Solve by graphing: y = x + 2, y = -x + 4.
Back
(2, 3)
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
A straight line on a coordinate plane.
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