Deck 6: Sequences, Series, and Probability

Question 1

Solve the system using Gauss-Jordan elimination.

A)
B)
C)
D)
E)

Answer 1

Question 2

Determine which ordered pair is a solution of the system.

A)(1, -2)
B)(2, 1)
C)(-5, 4)
D)(-2, 1)
E)(-4, -5)

Answer 2

(-2, 1)

Question 3

Solve the system using Gauss-Jordan elimination.

A)
B)
C)
D)
E)

Answer 3

Question 4

Solve the system by substitution, if possible.

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

Question 5

Find the product.

A)


B)


C)


D)


E)cannot multiply

Question 6

Solve the system by substitution, if possible.

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

Question 7

Solve the system, if possible.

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 8

Solve the system using Gaussian elimination.

A)
B)
C)
D)
E)

Question 9

Solve the system by substitution, if possible.

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

Question 10

Solve the system by Gauss - Jordan elimination.

A)
B)
C)
D)
E)

Question 11

Solve the system, if possible.

A)x = 9, y = -6, z = 6
B)x = 1, y = 8, z = -6
C)x = -1, y = -8, z = 6
D)x = 9, y = 1, z = 6
E)no solution; inconsistent system

Question 12

Find A - B.

A)


B)


C)


D)


E)

Question 13

Find the inverse of the matrix.

A)


B)


C)


D)


E)

Question 14

Determine which ordered pair is a solution of the system.

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

Question 15

Solve the system, if possible.

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 16

Find the product.

A)


B)


C)


D)


E)102

Question 17

Solve the system.

A)
B)
C)
D)
E)no solution

Question 18

Solve the system of equations by graphing.

A)(6, 1)
B)(-5, 5)
C)(-4, 6)
D)(5, -5)
E)(3, 13)

Question 19

Find 9A.

A)


B)


C)


D)


E)

Question 20

Find the product.

A)


B)


C)


D)


E)cannot multiply

Question 21

Find the cofactor C ₁₂ of the matrix.

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

Question 22

Find the inverse of the matrix.

A)


B)


C)


D)


E)

Question 23

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

A)


B)


C)


D)


E)

Question 24

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

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 25

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

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