Quiz about Systems of Linear Equations with Three Variables

Question 1

Solve the system of equations:

Accepted Answer

None of these

Answer

( 5, 1, -4)

Answer

(-5, 3, -1)

Answer

( -1, 5, -4)

Question 2

Solve the system of equations:

Accepted Answer

None of these

Answer

( -2, 4, 3)

Answer

Answer

infinite # of solutions

Question 3

Solve the system.

Accepted Answer

(-3, 2, -1)

Answer

(3, -2, 4)

Answer

(2, -3, 1)

Answer

Infinitely many solutions

Question 4

Solve the system.

Accepted Answer

(2, -2, 3)

Answer

(2, 1, 4)

Answer

(-2, 2, -3)

Answer

No Solution

Question 5

Solve the system.

Accepted Answer

(5, -6, 3)

Answer

(2, 3, -1)

Answer

(-4, 2, 5)

Answer

No Solution

Question 6

Determine which ordered triple is a solution of the systems of equations?
2x+y=0
x+3y-z=-11
7x+5y+4z=21

Accepted Answer

(1,-2,6)

Answer

(0,0,11)

Answer

(-1,2,-16

Answer

(0,1,-14)

Question 7

Solve the system of equations.
x-3y=13
5x+6z=41
2x+4y-z=5

Accepted Answer

(7,-2,1)

Answer

(13,0,-4)

Answer

(10,-1,11)

Answer

(1,-4,6)

Question 8

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

Accepted Answer

Ordered Triple

Answer

Ordered Pair

Answer

Integer

Answer

Sum

Question 9

Determine which ordered triple is a solution of the systems of equations?
2x+y=0
x+3y-z=-11
7x+5y+4z=21

Accepted Answer

(1,-2,6)

Answer

(0,0,11)

Answer

(-1,2,-16

Answer

(0,1,-14)

Question 10

Solve the system of equations.
x-3y=13
5x+6z=41
2x+4y-z=5

Accepted Answer

(7,-2,1)

Answer

(13,0,-4)

Answer

(10,-1,11)

Answer

(1,-4,6)

Question 11

Solve the system of equations:

Accepted Answer

( -2, -3, 3)

Answer

( -2, 3, -3)

Answer

None of these

Answer

( -3, 3, -2)

Question 12

What is your solution if your variables go away and you are left with 0 = 0?

Accepted Answer

Infinitely Many Solutions

Answer

No Solution

Answer

All Real Numbers

Answer

(x, y, z)

Question 13

What are systems of linear equations?

Accepted Answer

a set of two or more linear equations in the same variables

Answer

a polynomial with three terms

Answer

set of two or more linear inequalities in the same variables

Question 14

If a system of equations has no solution, what does the graph look like?

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 15

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

Accepted Answer

Ordered Triple

Answer

Ordered Pair

Answer

Integer

Answer

Sum

Question 16

CHALLENGE: Three equations.
x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.

Accepted Answer

x = 2
y = -1
z = 3

Answer

x= -5
y = 3
z = 1

Answer

x = 10
y = -2
z = 0

Answer

x= 4
y = 1
z = -1

Question 17

CHALLENGE: Three equations.
x + y + z = 4
x = -2y
z = -3y
Solve the system of equations using substitution.

Accepted Answer

x = 2
y = -1
z = 3

Answer

x= -5
y = 3
z = 1

Answer

x = 10
y = -2
z = 0

Answer

x= 4
y = 1
z = -1

Question 18

Solve the system of equations:

Accepted Answer

( -2, -3, 3)

Answer

( -2, 3, -3)

Answer

None of these

Answer

( -3, 3, -2)

Question 19

Solve the system of equations:

Accepted Answer

( -4, 0, -2)

Answer

( 4, 0, -2)

Answer

( -4, -2, 0)

Answer

None of these

Question 20

Solve the system of equations:

Accepted Answer

( 4, 3, -1)

Answer

( 4, 2, -1)

Answer

None of these

Answer

( -4, 3, 1)

Question 21

Solve the system.

Accepted Answer

No Solution

Answer

(3, -9, 2)

Answer

(3, -2, 9)

Answer

(2, 3, -1)

Question 22

Solve the system.

Accepted Answer

(-1, 6, -4)

Answer

(1/2, 4, -2)

Answer

(3, 3/2, -1/2)

Answer

Infinitely many solutions

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