Systems in Three Variables

Systems in Three Variables

11th Grade

20 Qs

quiz-placeholder

Similar activities

Systems of Linear Equations and Inequalities

Systems of Linear Equations and Inequalities

9th - 12th Grade

18 Qs

Solving Systems Review

Solving Systems Review

9th - 12th Grade

16 Qs

Quiz 1: Solving Systems of Equations

Quiz 1: Solving Systems of Equations

9th - 12th Grade

20 Qs

Systems of Equations by Substituion

Systems of Equations by Substituion

8th - 12th Grade

15 Qs

Systems of equations: graphing, substitution, elimination

Systems of equations: graphing, substitution, elimination

8th - 11th Grade

17 Qs

Elimination Method

Elimination Method

7th - 12th Grade

17 Qs

Solving Systems

Solving Systems

7th - 12th Grade

20 Qs

5.2 Solving Systems of Linear Equations by Substitution

5.2 Solving Systems of Linear Equations by Substitution

7th - 12th Grade

15 Qs

Systems in Three Variables

Systems in Three Variables

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Solve the system by elimination and write your solution as an ordered triple (r,s,t). If there is no solution, write "none". If there are an infinite number of solutions, write "infinite".

2.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Solve the system by elimination and write your solution as an ordered triple (a,b,c). If there is no solution, write "none". If there are an infinite number of solutions, write "infinite".

3.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Solve the system by elimination and write your solution as an ordered triple (x,y,z). If there is no solution, write "none". If there are an infinite number of solutions, write "infinite".

Answer explanation

Media Image

The three planes representing the solution sets of each equation all meet at one point, shown in the picture. A system with solutions is called a CONSISTENT system.

4.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Solve the system by elimination and write your solution as an ordered triple (x,y,z). If there is no solution, write "none". If there are an infinite number of solutions, write "infinite".

Answer explanation

Media Image

The planes representing the solution sets of each equation do not all intersect, so there are no solutions. If you graphed the three planes, they would look like this. A system with no solutions is called an INCONSISTENT system.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Solve the system. 

(5, -6, 3)

(2, 3, -1)

(-4, 2, 5)

No Solution

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Solve the system.

(3, -2, 4)

(2, -3, 1)

(-3, 2, -1)

Infinitely many solutions

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Solve the system.

(1, 2, -2)

(1, -3, -2)

(-1, 3, 2)

No Solution

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?