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How Many Solutions Equations and Systems

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

How Many Solutions Equations and Systems
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12 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When solving a system of equations algebraically, which statement results in infinite solutions?

4 = 7

2 = 2

-3 = 3

all of the above

Answer explanation

You will be left with an identity (something true) when trying to solve a system of equations, if there are infinitely many solutions.

Tags

CCSS.8.EE.C.8B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does a "solution to a system of equations" mean?

It's the point where both equations equal zero

It's the point where graphs of both equations cross the y-axis

It's the point that is true for both equations at the same time

It's the point where graphs of both equations cross the x-axis

Answer explanation

A solution to a system of equations is a point that will work in all equations within the system.

Tags

CCSS.8.EE.C.8B

3.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

How many solutions will this system have? 

No solution

One Solution

I Don't Know

Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

4.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

When you graph the exact same equation twice,

you will have no solution. 

you will have one solution.

you will have infinite solutions. 

you will graph a giraffe. 

Tags

CCSS.8.EE.C.8B

5.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

Solve the following system by graphing.  What is the solution?

Infinite number of solutions

(3, 3)

(3, -3)

(-3, 3)

Tags

CCSS.8.EE.C.8B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

a solution to a system that results in one x value and one y value that will satisfy both equations 

No Solution

One Solution

Infinite Solutions

Beyond Solutions

Tags

CCSS.8.EE.C.8B

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

x=5

No Solution

One Solution

Infinite Solutions

Beyond Solutions

Tags

CCSS.8.EE.C.7A

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