Solving Linear Systems with Substitution & Graphing
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
+4
Standards-aligned
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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.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
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.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What is the graphical method of solving linear systems?
Back
The graphical method involves graphing each equation on the same set of axes and identifying the point(s) where the lines intersect.
Tags
CCSS.8.EE.C.8B
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 but different y-intercepts, indicating that there is no solution to the system.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide in a system of equations?
Back
If two lines coincide, they lie on top of each other, indicating that there are infinitely many solutions to the system.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of equations?
Back
To determine if a point is a solution, substitute the x and y values of the point into both equations. If both equations are true, the point is a solution.
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