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Systems of Linear Equations and Inequalities
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Wayground Content
FREE Resource
Student preview
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
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 each equation. If the equations are satisfied, the point is a solution.
3.
FLASHCARD QUESTION
Front
What does it mean for a point to be a solution to a system of inequalities?
Back
A point is a solution to a system of inequalities if it satisfies all the inequalities in the system, meaning it lies in the region defined by the inequalities.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a linear equation?
Back
The graphical representation of a linear equation is a straight line on a coordinate plane, where each point on the line represents a solution to the equation.
5.
FLASHCARD QUESTION
Front
What is the difference between a linear equation and a linear inequality?
Back
A linear equation shows equality (e.g., y = mx + b), while a linear inequality shows a range of values (e.g., y < mx + b) and represents a region on a graph.
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
What does the term 'feasible region' refer to in linear programming?
Back
The feasible region is the area on a graph that satisfies all constraints of a system of inequalities. It represents all possible solutions.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
How do you graph a system of inequalities?
Back
To graph a system of inequalities, first graph each inequality as if it were an equation, then shade the appropriate region that satisfies the inequality.
Tags
CCSS.HSA.REI.D.12
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