Linear equations in two variables.
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation in two variables?
Back
A linear equation in two variables is an equation that can be written in the form ax + by + c = 0, where a, b, and c are constants, and x and y are variables.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have a unique solution?
Back
A system of equations has a unique solution if the graphs of the equations intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
A system of equations has no solution if the graphs of the equations are parallel lines, meaning they never intersect.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinitely many solutions?
Back
A system of equations has infinitely many solutions if the graphs of the equations coincide, meaning they are the same line.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How can you determine if two lines are parallel?
Back
Two lines are parallel if they have the same slope but different y-intercepts.
Tags
CCSS.8.EE.B.6
6.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
What is the graphical representation of the equation 2x + 3y - 6 = 0?
Back
The graphical representation is a straight line in the Cartesian plane.
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