Systems of Equations and Inequalities: Good Things Come in Threes Quiz

Think you’ve got your head wrapped around Systems of Equations and Inequalities? Put your knowledge to the test. Good luck — the Stickman is counting on you!
Q. Which of the following is a solution to this system of equations?

2x + 2y + 2z = 2

x + 2y + 2z = 1

2x + y + 2z = 2



(0, 0, 1)
(0, 1, 0)
(1, 0, 0)
(-1, 0, 0)
(0, -1, 0)
Q. Which of the following is a solution to this system of equations?

3x + 2y + 2z = 3

2xyz = 2

x + 4y + z = 4



(0, 1, -1)
(-1, -1, -1)
(-1, 1, -1)
(1, 1, -1)
(1, 1, 1)
Q. Which of the following is a solution to this system of equations?

4x + 2y – 2z = -4

2x + 2y + 2z = -2

4x + 2y + 4z = 2



(1, -3, 1)
(-1, -3, 1)
(1, -3, -1)
(3, -3, 1)
(1, -3, 3)
Q. Which of the following is a solution to this system of equations?

-x + y + z = 1

x + y = -1

y + z = 1



(1, -1, 2)
(0, -1, -2)
(0, 1, 2)
(0, 1, -2)
(0, -1, 2)
Q. Which of the following is a solution to this system of equations?

5xyz = 5

-3x + 2y + 2z = -3

x + 2y + z = 2



(0, 1, 0)
(1, 1, -1)
(1, 1, 1)
(-1, -1,-1)
(1, -1, 1)
Q. Which of the following is a solution to this system of equations?

4x – 8y + 8z = 4

2x – 4y – 4z = 2

-2x – 2y + 2z = 4



(-1, -1, 0)
(-1, 0, 0)
(1, -1, 0)
(-1, 1, 0)
(1, 1, 0)
Q. Which of the following is a solution to this system of equations?

3x – 3y + 6z = 9

2x + y + 2z = -2

-2x – 2y + 2z = -2



(3, 4, 2)
(3, -4, 2)
(3, 4, -2)
(3, -4, -2)
(-3, -4, -2)
Q. Which of the following is a solution to this system of equations?

5x + 5y + 5z = 5

7x + 7y – 7z = 7

-3x + 3y + 3z = -3



(0, 0, 0)
(0, 0, 1)
(0, 1, 0)
(1, 1, 0)
(1, 0, 0)
Q. Which of the following is a solution to this system of equations?

x + 2y + z = 1

-x + 2y + 2z = 1

-2x + 2y + 2z = -2



(-3, -4, -6)
(3, 4, 6)
(3, -4, 6)
(-3, -4, 6)
(3, -4, -6)
Q. Which of the following is a solution to this system of equations?

5x – 5y – 5z = 10

-xy + z = -1

4x + 4y + 4z = 16