M7D3 Solving Linear Systems Using Substitution
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations?
Back
To solve a system of equations means to find the values of the variables that satisfy all equations in the system simultaneously.
3.
FLASHCARD QUESTION
Front
What is substitution in solving linear systems?
Back
Substitution is a method where one equation is solved for one variable, and that expression is substituted into the other equation.
4.
FLASHCARD QUESTION
Front
How do you identify the solution of a system of equations graphically?
Back
The solution of a system of equations is the point where the graphs of the equations intersect.
5.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of equations?
Back
If two lines are parallel, it means they have the same slope and will never intersect, indicating that there is no solution to the system.
6.
FLASHCARD QUESTION
Front
What does it mean if two lines are the same in a system of equations?
Back
If two lines are the same, it means they have infinitely many solutions, as every point on the line is a solution.
7.
FLASHCARD QUESTION
Front
What does it mean if two lines intersect at one point?
Back
If two lines intersect at one point, it means the system has a unique solution, which is the coordinates of the intersection point.
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