Quiz about Consistent and Inconsistent Systems

Question 1

When a system of two linear equations has one solution it means that...

Accepted Answer

The two lines meet or "intersect" at one point

Answer

The lines are the same line and every point on the line is a solution

Answer

The lines are parallel to each other

Question 2

In a consistent dependent system...

Accepted Answer

There are infinitely many solutions

Answer

There's only one solution

Answer

There's not solution

Answer

There are one solution or infinitely many solutions

Question 3

In a consistent independent system...

Accepted Answer

There's only one solution

Answer

There's no solution

Answer

There's one solution or infinitely many solutions

Answer

There are infinitely many solutions

Question 4

In an inconsistent system of linear equations...

Accepted Answer

The lines are parallel to each other and there's no solution

Answer

The lines are parallel to each other and there's one solution

Answer

The lines are parallel to each other and there are infinitely many solutions.

Answer

The lines are perpendicular to each other and they meet at one point

Question 5

An inconsistent system of linear equations happens when...

Accepted Answer

There's no solution to the system

Answer

There's only one solution to the system

Answer

There are infinitely many solutions to the system.

Answer

There are one or infinitely many solutions to the system

Question 6

A consistent system of linear equations happens when...

Accepted Answer

There are one or infinitely many solutions to a system

Answer

There's only one solution to the system

Answer

There's no solution to the system

Answer

There's an infinite number of solutions to a system

Question 7

Consistent or Inconsistent?

Accepted Answer

Inconsistent

Answer

Consistent

Question 8

Dependent or Independent?

Accepted Answer

Independent

Answer

Dependent

Answer

Neither

Question 9

WITHOUT GRAPHING
what can you say about these lines

Accepted Answer

Consistent and Dependent

Answer

Consistent and Independent

Answer

Inconsistent and Dependent

Answer

Inconsistent and Independent

Question 10

WITHOUT GRAPHING
what can you say about these lines

Accepted Answer

Inconsistent

Answer

Consistent and Dependent

Answer

Consistent and Independent

Answer

Neither

Question 11

Which of the following are ways to solve systems of equations?

Accepted Answer

All of the above

Answer

Graphing

Answer

Substitution

Answer

Elimination

Question 12

If a system of linear equations has one solution, what does this mean about the two lines?

Accepted Answer

The lines Intersect

Answer

They don't intersect

Answer

they are the same line

Question 13

If a system of equations has no solution, what does the graph look like?

Accepted Answer

two parallel lines

Answer

two lines graphed on top of each other

Answer

two lines with one intersection

Question 14

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

Accepted Answer

Same line

Answer

Intersecting lines

Answer

Parallel lines

Question 15

How many solutions does this system of equations have?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Answer

Two Solutions

Question 16

How many solutions will this system have?

Accepted Answer

No solution

Answer

One Solution

Answer

I Don't Know

Answer

Infinitely Many Solutions

Question 17

What type of solution does the following system represent?

Accepted Answer

Consistent Independent

Answer

Inconsistent

Answer

Consistent Dependent

Question 18

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

Accepted Answer

3x + 2y = 315
2x + 4y = 450

Answer

3x + 2y = 450
2x + 4y = 315

Answer

2x + 2y = 315
3x + 4y = 450

Question 19

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

Accepted Answer

16 horses, 12 chickens

Answer

10 horses, 18 chickens

Answer

12 horses, 16 chickens

Answer

18 horses, 10 chickens

Question 20

When two lines in a system do not intersect it is said to be a _______ system

Accepted Answer

inconsistent

Answer

consistent

Question 21

A(n) __________ system has exactly one solution.

Accepted Answer

independent

Answer

dependent

Question 22

When two lines intersect at a point, the system is said to be ________.

Accepted Answer

consistent

Answer

inconsistent

Question 23

A ___________system has infinitely many solutions.

Accepted Answer

dependent

Answer

independent

Question 24

The graph of an inconsistent system will have _______ lines.

Accepted Answer

parallel

Answer

intersecting

Answer

coincident

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