Inconsistent Systems

Quiz
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
19 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When two lines in a system do not intersect it is said to be a _______ system
inconsistent
consistent
Tags
CCSS.8.EE.C.8B
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If a system of equations has no solution, what does the graph look like?
intersecting lines
parallel lines
skew lines
intersecting lines
Tags
CCSS.8.EE.C.8A
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Inconsistent Systems will have ___________.
many solutions
no solution
one solution
Tags
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Consider the system of equations 3x + 4y = 0 -3x +-4y = 2 Adding the two equations side-by-side and simplifying yields 0 = 2. Which of the following can be concluded about the system of equations?
It has a unique solution (2, 0).
It has exactly two solutions (2, 0) and (0, 2).
It has infinitely many solutions.
It has no solution.
Answer explanation
Since both sides of the equation do not equal each other, this is how you can tell that a problem has no solution.
Tags
CCSS.8.EE.C.8B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A system of equations with no ordered pair that satisfies both equations.
consistent
inconsistent
elimination
system of equations
Tags
CCSS.8.EE.C.8B
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Consider the system of equations 3x + 4y = 0 -3x +-4y = 2 Adding the two equations side-by-side and simplifying yields 0 = 2. Which of the following can be concluded about the system of equations?
It has a unique solution (2, 0).
It has exactly two solutions (2, 0) and (0, 2).
It has infinitely many solutions.
It has no solution.
Answer explanation
Since both sides of the equation do not equal each other, this is how you can tell that a problem has no solution.
Tags
CCSS.8.EE.C.8B
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following systems of equations has no solution?
\[\begin{cases}x + y = 3 \\ 2x + 2y = 6\end{cases}\]
\[\begin{cases}x - y = 2 \\ 2x - 2y = 4\end{cases}\]
\[\begin{cases}x + y = 1 \\ x - y = 1\end{cases}\]
\[\begin{cases}x + y = 2 \\ x + y = 3\end{cases}\]
Tags
CCSS.8.EE.C.8B
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