Solving Systems of Linear Equations
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations?
Back
A system of linear equations is a set of two or more linear 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
What does it mean to solve a system of equations by elimination?
Back
Solving by elimination involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What is the substitution method in solving systems of equations?
Back
The substitution method 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
4.
FLASHCARD QUESTION
Front
What is the graphical interpretation of a system of linear equations?
Back
The graphical interpretation involves plotting the equations on a graph; the solution is the point(s) where the lines intersect.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
A system has no solution if the lines are parallel, meaning they never intersect.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinite solutions?
Back
A system has infinite solutions if the equations represent the same line, meaning every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
How do you determine the number of solutions in a system of equations?
Back
You can determine the number of solutions by analyzing the slopes and intercepts of the lines represented by the equations.
Tags
CCSS.8.EE.C.8B
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