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Determine the Type of Solution | 8.EE.C.8

Determine the Type of Solution | 8.EE.C.8

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explores different types of solutions in systems of equations: no solution, one solution, and infinitely many solutions. It presents a specific system of equations and guides viewers through the process of determining the type of solution by solving the system. The tutorial explains that no solution occurs when the equations result in a false statement, one solution occurs when the equations intersect at a single point, and infinitely many solutions occur when the equations coincide. The video concludes by solving the example system, demonstrating that it has no solution.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the possible types of solutions for a system of equations?

No solution, two solutions, infinitely many solutions

No solution, one solution, two solutions

One solution, two solutions, infinitely many solutions

No solution, one solution, infinitely many solutions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if a system of equations has no solution?

The lines intersect at one point

The lines intersect at two points

The lines are parallel and never intersect

The lines coincide completely

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can a system of equations never have exactly two solutions?

Because lines can only be perpendicular

Because lines can only be parallel

Because lines can only intersect at one point or coincide

Because lines can only intersect at three points

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What indicates that a system of equations has infinitely many solutions?

The lines intersect at two points

The lines coincide completely

The lines intersect at one point

The lines are parallel

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What conclusion can be drawn if solving a system results in a false numerical statement?

The system has infinitely many solutions

The system has no solution

The system has one solution

The system has two solutions

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