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How Many Solutions Systems of Equations?

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

How Many Solutions Systems of Equations?
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How many solutions will this system have?

No solution

One Solution

I Don't Know

Infinitely Many Solutions

Answer explanation

The system has no solution because the equations represent parallel lines that never intersect, indicating that there are no points that satisfy both equations simultaneously.

Tags

CCSS.8.EE.C.8A

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How many solutions does this system have?

One solution

No solutions

Infinitely many solutions

Answer explanation

The system has one solution because the equations are consistent and intersect at a single point, indicating a unique solution.

Tags

CCSS.8.EE.C.8A

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How many solutions does this system have?

One solution

No solutions

Infinitely many solutions

Answer explanation

The system has no solutions because the equations are inconsistent, meaning they represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8B

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How many solutions does this system have?

One solution

No solutions

Infinitely many solutions

Answer explanation

The system has infinitely many solutions because the equations are dependent, meaning they represent the same line or plane in a geometric sense, allowing for an infinite number of points that satisfy both equations.

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

This system has _____ solutions

0

1

2

Infinitely many

Tags

CCSS.8.EE.C.8B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How many solutions does the graph have?

One solution

No solution

Infinite solutions

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How many solutions?

One solution

No solutions

Infinitely many solutions

Answer explanation

The equation has one unique solution, meaning there is exactly one value that satisfies it. This is why the correct answer is 'One solution'.

Tags

CCSS.8.EE.C.8B

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