7.02 Consistent and Inconsistent Systems Quiz

7.02 Consistent and Inconsistent Systems Quiz

Question 1

1. A system of equations that has at least one solution is called inconsistent.
   

   		TRUE
   		FALSE

2 points

Question 2

1. Does the following system of equations have a solution?
   
   

   		yes
   		no

2 points

Question 3

1. What is the approximate solution of the following system of equations?
   
   

   		(2, -7)
   		(-7, 2)
   		(7, 2)
   		(-7, -2)

2 points

Question 4

1. Solve the following system of equations by using the substitution method.
   x – y = 3
   2x + 2y = 2
   

   		(3, 4)
   		(-4, 5)
   		(2, -1)
   		Inconsistent

2 points

Question 5

1. Solve the following system of equations by using the substitution method.
   y = 6x – 11
   -2x – 3y = -7
   

   		(1, 2)
   		(2, 1)
   		(-3, 1)
   		(2, 4)

2 points

Question 6

1. Solve the following system of equations by using the elimination method.
   x + y = 4
   2x + 3y = 9
   

   		(3, 1)
   		(-2, 1)
   		(3, -1)
   		Inconsistent

2 points

Question 7

1. Solve the following system of equations by using the elimination method.
   -4x – 2y = -12
   4x + 8y = -24
   

   		(5, 3)
   		(-6, -6)
   		(3, 1)
   		(6, -6)

2 points

Question 8

1. Solve the following system of equations using matrices.
   3x – 2y = 31
   3x + 2y = -1
   

   		(5, -8)
   		(3, 5)
   		(-3, 9)
   		(2, 8)

2 points

Question 9

1. Solve the following system of equations using matrices.
   y = 2x – 1
   6x – y = 13
   

   		(3, 5)
   		(-3, 5)
   		(5, 0)
   		Inconsistent

2 points

Question 10

A laboratory employee is mixing a 10% saline solution with 4% saline solution. How much of each solution is needed to make 500 milliliters of a 6% solution.

170 milliliters of the 10% solution and 340 milliliters of 4% solution


167 milliliters of the 10% solution and 333 milliliters of 4% solution


110 milliliters of the 10% solution and 210 milliliters of 4% solution


155 milliliters of the 10% solution and 300 milliliters of 4% solution