Inconsistent Systems

Inconsistent Systems

9th Grade

19 Qs

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Inconsistent Systems

Inconsistent Systems

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, 8.EE.C.8A

Standards-aligned

Created by

Anthony Clark

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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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