Question 1

Use determinants to find the area of the triangle with vertices at the given points. P(0, 0), Q(20, 0), R(20, 6)

Accepted Answer

A)  A = 120
B)  A = 20
C)  A = 60
D)  A = 6
E)  none of these C

Question 2

Find the product.

Accepted Answer

A)   
B)   
C)   
D)   
E)  cannot multiply D

Question 3

Solve the system by substitution, if possible.

Accepted Answer

A)  (9, -2) 
B)  (6, 3) 
C)  (-3, 10) 
D)  (3, 6) 
E)  no solutions D

Question 4

Solve the system by substitution, if possible.

Accepted Answer

A)  (10, -5) 
B)  (-6, 11) 
C)  (-2, -8) 
D)  (9, 2) 
E)  no solution; inconsistent system

Question 5

Find the product.

Accepted Answer

A)   
B)   
C)   
D)   
E)  102

Question 6

Find the product.

Accepted Answer

A)   
B)   
C)   
D)   
E)  cannot multiply

Question 7

Find the inverse of the matrix.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 8

Solve the system by Gauss - Jordan elimination.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 9

Use Cramer's rule to find the solution of the system, if possible.

Accepted Answer

A)  x = 1, y = -1
B)  x = 7, y = -8
C)  x = 7, y = -7
D)  The system is inconsistent.
E)  The equations are dependent.

Question 10

Use a graphing calculator to find the inverse of the matrix.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Find 9A.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Solve the system using Gaussian elimination.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 13

Solve the system using Gauss-Jordan elimination.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Find the cofactor C 12 of the matrix.

Accepted Answer

A)  C 12 = -3
B)  C 12 = 2
C)  C 12 = 3
D)  C 12 = -2
E)  none of these

Question 15

Find A - B.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 16

Solve the system, if possible.

Accepted Answer

A)  x = 10, y = 2, z = 3
B)  x = -10, y = -2, z = -3
C)  x = 3, y = 10, z = -3
D)  x = 12, y = 9, z = -3
E)  no solution; inconsistent system

Question 17

Determine which ordered pair is a solution of the system.

Accepted Answer

A)  (6, -4) 
B)  (-7, 1) 
C)  (-7,-3) 
D)  (-4, -6) 
E)  (6, 4)

Question 18

Find the inverse of the matrix.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Solve the system, if possible.

Accepted Answer

A)  x = -14, y = 3, z = 4
B)  x = -6, y = -8, z = -4
C)  x = 6, y = 8, z = 4
D)  x = -7, y = -6, z = 4
E)  no solution; inconsistent system

Question 20

Solve the system by substitution, if possible.

Accepted Answer

A)  (5, 2) 
B)  (3, 2) 
C)  (2, 5) 
D)  (1, 6) 
E)  no solutions

Exam 6: Sequences, Series, and Probability

Use determinants to find the area of the triangle with vertices at the given points. P(0, 0) , Q(20, 0) , R(20, 6)

Find the product.

Solve the system by substitution, if possible.

Solve the system by substitution, if possible.

Find the product.

Find the product.

Find the inverse of the matrix.

Solve the system by Gauss - Jordan elimination.

Use Cramer's rule to find the solution of the system, if possible.

Use a graphing calculator to find the inverse of the matrix.

Find 9A.

Solve the system using Gaussian elimination.

Solve the system using Gauss-Jordan elimination.

Find the cofactor C₁₂ of the matrix.

Find A - B.

Solve the system, if possible.

Determine which ordered pair is a solution of the system.

Find the inverse of the matrix.

Solve the system, if possible.

Solve the system by substitution, if possible.