Question 1

Find the product.

Accepted Answer

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

Question 2

Use Cramer's Rule to solve the following system of linear equations:

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Find the inverse of the matrix   (if it exists).

Accepted Answer

A)    
B)    
C)    
D)    
E)  does not exist 
A)    
B)    
C)    
D)    
E)  does not exist

Question 4

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 
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 5

Determine which ordered pair is a solution of the system.

Accepted Answer

A)  (8, 1) 
B)  (-9, 3) 
C)  (-9,8) 
D)  (8, -1) 
E)  (1, -8) 
A)  (8, 1) 
B)  (-9, 3) 
C)  (-9,8) 
D)  (8, -1) 
E)  (1, -8)

Question 6

If possible, find 5A - 4B.

Accepted Answer

A)    
B)  not possible 
C)    
D)    
E)    
A)    
B)  not possible 
C)    
D)    
E)

Question 7

An object moving vertically is at the given heights at the specified times. Find the position equation   for the object. At t = 1 second, s = 284 feet
At t = 2 seconds, s = 221 feet
At t = 3 seconds, s = 126 feet

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Find the determinant of   .

Accepted Answer

A)  -828 
B)  512 
C)  -768 
D)  -736 
E)  -64 
A)  -828 
B)  512 
C)  -768 
D)  -736 
E)  -64

Question 9

Find the equation of the circle   that passes through the points   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Find the product.

Accepted Answer

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

Question 11

Solve the system using Gauss-Jordan elimination.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Solve using any method.

Accepted Answer

A)    
B)    
C)    
D)    
E)  inconsistent 
A)    
B)    
C)    
D)    
E)  inconsistent

Question 13

During one performance of a local arts council's presentation of Fiddler on the Roof, the box office sold 200 tickets and collected $1372. If adult tickets sold for $8 and children's tickets sold for $6, how many of each type of ticket were sold?

Accepted Answer

A)  adult tickets sold = 97; children's tickets sold = 125 
B)  adult tickets sold = 86; children's tickets sold = 114 
C)  adult tickets sold = 114; children's tickets sold = 86 
D)  adult tickets sold = 125; children's tickets sold = 97 
E)  adult tickets sold = 97; children's tickets sold = 99 
A)  adult tickets sold = 97; children's tickets sold = 125 
B)  adult tickets sold = 86; children's tickets sold = 114 
C)  adult tickets sold = 114; children's tickets sold = 86 
D)  adult tickets sold = 125; children's tickets sold = 97 
E)  adult tickets sold = 97; children's tickets sold = 99

Question 14

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

Question 15

Solve the system by substitution, if possible.

Accepted Answer

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

Question 16

Evaluate the expression.

Accepted Answer

A)    
B)    
C)  not possible 
D)    
E)    
A)    
B)    
C)  not possible 
D)    
E)

Question 17

Solve the system of equations by graphing.

Accepted Answer

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

Question 18

During one performance of a local arts council's presentation of Fiddler on the Roof, the box office sold 239 tickets and collected $1389. If adult tickets sold for $10 and children's tickets sold for $3, how many of each type of ticket were sold?

Accepted Answer

A)  adult tickets sold = 92; children's tickets sold = 156 
B)  adult tickets sold = 143; children's tickets sold = 96 
C)  adult tickets sold = 139; children's tickets sold = 92 
D)  adult tickets sold = 92; children's tickets sold = 139 
E)  adult tickets sold = 96; children's tickets sold = 143 
A)  adult tickets sold = 92; children's tickets sold = 156 
B)  adult tickets sold = 143; children's tickets sold = 96 
C)  adult tickets sold = 139; children's tickets sold = 92 
D)  adult tickets sold = 92; children's tickets sold = 139 
E)  adult tickets sold = 96; children's tickets sold = 143

Question 19

If possible, find 3A - 2B.

Accepted Answer

A)    
B)    
C)  not possible 
D)    
E)    
A)    
B)    
C)  not possible 
D)    
E)

Question 20

Find the determinant of the matrix   .

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Find the product.

Use Cramer's Rule to solve the following system of linear equations:

Find the inverse of the matrix (if it exists).

Solve the system, if possible.

Determine which ordered pair is a solution of the system.

If possible, find 5A - 4B.

An object moving vertically is at the given heights at the specified times. Find the position equation for the object. At t = 1 second, s = 284 feet At t = 2 seconds, s = 221 feet At t = 3 seconds, s = 126 feet

Find the determinant of .

Find the equation of the circle that passes through the points .

Find the product.

Solve the system using Gauss-Jordan elimination.

Solve using any method.

During one performance of a local arts council's presentation of Fiddler on the Roof, the box office sold 200 tickets and collected $1372. If adult tickets sold for $8 and children's tickets sold for $6, how many of each type of ticket were sold?

Solve the system by substitution, if possible.

Solve the system by substitution, if possible.

Evaluate the expression.

Solve the system of equations by graphing.

During one performance of a local arts council's presentation of Fiddler on the Roof, the box office sold 239 tickets and collected $1389. If adult tickets sold for $10 and children's tickets sold for $3, how many of each type of ticket were sold?

If possible, find 3A - 2B.

Find the determinant of the matrix .

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Sequences, Series, and Probability

Topics in Analytic Geometry

Prerequisites

Filters

Exam 8: Linear Systems and Matrices

Find the product.

Use Cramer's Rule to solve the following system of linear equations:

Find the inverse of the matrix (if it exists).

Solve the system, if possible.

Determine which ordered pair is a solution of the system.

If possible, find 5A - 4B.

An object moving vertically is at the given heights at the specified times. Find the position equation for the object. At t = 1 second, s = 284 feet At t = 2 seconds, s = 221 feet At t = 3 seconds, s = 126 feet

Find the determinant of .

Find the equation of the circle that passes through the points .

Find the product.

Solve the system using Gauss-Jordan elimination.

Solve using any method.

During one performance of a local arts council's presentation of Fiddler on the Roof, the box office sold 200 tickets and collected $1372. If adult tickets sold for $8 and children's tickets sold for $6, how many of each type of ticket were sold?

Solve the system by substitution, if possible.

Solve the system by substitution, if possible.

Evaluate the expression.

Solve the system of equations by graphing.

During one performance of a local arts council's presentation of Fiddler on the Roof, the box office sold 239 tickets and collected $1389. If adult tickets sold for $10 and children's tickets sold for $3, how many of each type of ticket were sold?

If possible, find 3A - 2B.

Find the determinant of the matrix .

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Sequences, Series, and Probability

Topics in Analytic Geometry

Prerequisites

Filters