Question 1

Use Cramer's rule to solve the system.
-

Accepted Answer

A)    
B)  Can't use Cramer's rule, D = 0 
C)    
D)    
A)    
B)  Can't use Cramer's rule, D = 0 
C)    
D)

Question 2

Determine the row operation that was used on the first matrix to obtain the second matrix.
-

Accepted Answer

The answer of Determine the row operation that was used...

Question 3

Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.)
-1.1x + 12.3y + 3.7z = 3.6 4.6x - 7.0y - 1.6z = -2.6
4.3x + 14.3y + 0.2z = 11.2

Accepted Answer

A)  {(0.1, 1.2, -2.5)} 
B)  {(0.2, 3.2, -6.8)} 
C)  {(0.1, 0.8, -1.7)} 
D)  {(-0.1, -2.0, 4.2)} 
A)  {(0.1, 1.2, -2.5)} 
B)  {(0.2, 3.2, -6.8)} 
C)  {(0.1, 0.8, -1.7)} 
D)  {(-0.1, -2.0, 4.2)}

Question 4

Solve the problem using two linear equations in two variables and Cramer's rule.
-The perimeter of a rectangle is 25 units. If the width is doubled and the length is tripled, the perimeter is 53 units. Determine the original width and length.

Accepted Answer

A)  width = 11 units, length = 1.5 units 
B)  width = 8 units, length = 13 units 
C)  width = 22 units, length = 3 units 
D)  width = 9 units, length = 18 units 
A)  width = 11 units, length = 1.5 units 
B)  width = 8 units, length = 13 units 
C)  width = 22 units, length = 3 units 
D)  width = 9 units, length = 18 units

Question 5

Solve the problem.
-Anne and Nancy use a metal alloy that is 19% copper to make jewelry. How many ounces of a 10% alloy must be mixed with a 27% alloy to form 119 ounces of the desired alloy?

Accepted Answer

A)  68 ounces 
B)  56 ounces 
C)  63 ounces 
D)  58 ounces 
A)  68 ounces 
B)  56 ounces 
C)  63 ounces 
D)  58 ounces

Question 6

Find the inverse of the matrix, if possible.
-

Accepted Answer

A)    
B)    
C)    
D)  No inverse 
A)    
B)    
C)    
D)  No inverse

Question 7

Solve the problem.
-Michael's bank contains only nickels, dimes, and quarters. There are 47 coins in all, valued at $3.75. The number of nickels is 5 short of being three times the sum of the number of dimes and quarters together. How many
Dimes are in the bank?

Accepted Answer

A)  8 dimes 
B)  13 dimes 
C)  34 dimes 
D)  5 dimes 
A)  8 dimes 
B)  13 dimes 
C)  34 dimes 
D)  5 dimes

Question 8

Find the product.
-

Accepted Answer

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

Question 9

Determine the row operation that was used on the first matrix to obtain the second matrix.
-

Accepted Answer

The answer of Determine the row operation that was used...

Question 10

Find the value of x that ma   kes the given equation true.
-

Accepted Answer

A)  9 
B)  8 
C)  -9 
D)  -38 
A)  9 
B)  8 
C)  -9 
D)  -38

Question 11

Find the values that make the equation true.
-

Accepted Answer

A)  x = -5; y = -9; z = -2 
B)  x = -5; y = 2; z = 9 
C)  x = 9; y = 2; z = 5 
D)  x = 5; y = 9; z = 2 
A)  x = -5; y = -9; z = -2 
B)  x = -5; y = 2; z = 9 
C)  x = 9; y = 2; z = 5 
D)  x = 5; y = 9; z = 2

Question 12

Solve the problem.
-Michael's bank contains only nickels, dimes, and quarters. There are 51 coins in all, valued at $3.95. The number of nickels is 1 short of being three times the sum of the number of dimes and quarters together. How many
Dimes are in the bank?

Accepted Answer

A)  8 dimes 
B)  13 dimes 
C)  5 dimes 
D)  38 dimes 
A)  8 dimes 
B)  13 dimes 
C)  5 dimes 
D)  38 dimes

Question 13

Write the linear system as a matrix equation of the form AX = B.
-4x + 9y - z = 9
x - y - z = -9

Accepted Answer

The answer of Write the linear system as a matrix...

Question 14

Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation.
-x - 2y + 3z = 11 4x + y - z = 4
2x - y + 3z = 10

Accepted Answer

A)  {(2, 3, 5)} 
B)    
C)  {(-2, -3, 3)} 
D)  {(2, -3, 1)} 
A)  {(2, 3, 5)} 
B)    
C)  {(-2, -3, 3)} 
D)  {(2, -3, 1)}

Question 15

Use Cramer's rule to solve the system.
-

Accepted Answer

A)    
B)    
C)    
D)  Can't use Cramer's rule, D = 0 
A)    
B)    
C)    
D)  Can't use Cramer's rule, D = 0

Question 16

For the given matrix A, find -A.
-

Accepted Answer

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

Question 17

Given matrices A and B, find the indicated matrix if possible.
-  Find AB.

Accepted Answer

A)    
B)  AB is not defined. 
C)    
D)    
A)    
B)  AB is not defined. 
C)    
D)

Question 18

Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation.
--5x + 3y = 8 -2x + 4y = 20

Accepted Answer

A)  {(6, 2)} 
B)  {(-2, -6)} 
C)  {(-6, -2)} 
D)  {(2, 6)} 
A)  {(6, 2)} 
B)  {(-2, -6)} 
C)  {(-6, -2)} 
D)  {(2, 6)}

Question 19

Use Cramer's rule to solve the system.
-x + y + z - w = 6 2x - y + 3z + 4w = -4
4x + 2y - z - w = -13
-x - 2y + 4z + 3w = 12

Accepted Answer

A)  Can't use Cramer's rule, D = 0 
B)  -4, 3, 5, -2 
C)  4, -3, -5, 2 
D)    
A)  Can't use Cramer's rule, D = 0 
B)  -4, 3, 5, -2 
C)  4, -3, -5, 2 
D)

Question 20

Perform the indicated operation, if possible.
-

Accepted Answer

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

Use Cramer's rule to solve the system. -

Determine the row operation that was used on the first matrix to obtain the second matrix. -

Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.) -1.1x + 12.3y + 3.7z = 3.6 4.6x - 7.0y - 1.6z = -2.6 4.3x + 14.3y + 0.2z = 11.2

Solve the problem using two linear equations in two variables and Cramer's rule. -The perimeter of a rectangle is 25 units. If the width is doubled and the length is tripled, the perimeter is 53 units. Determine the original width and length.

Solve the problem. -Anne and Nancy use a metal alloy that is 19% copper to make jewelry. How many ounces of a 10% alloy must be mixed with a 27% alloy to form 119 ounces of the desired alloy?

Find the inverse of the matrix, if possible. -

Solve the problem. -Michael's bank contains only nickels, dimes, and quarters. There are 47 coins in all, valued at $3.75. The number of nickels is 5 short of being three times the sum of the number of dimes and quarters together. How many Dimes are in the bank?

Find the product. -

Determine the row operation that was used on the first matrix to obtain the second matrix. -

Find the value of x that ma kes the given equation true. -

Find the values that make the equation true. -

Solve the problem. -Michael's bank contains only nickels, dimes, and quarters. There are 51 coins in all, valued at $3.95. The number of nickels is 1 short of being three times the sum of the number of dimes and quarters together. How many Dimes are in the bank?

Write the linear system as a matrix equation of the form AX = B. -4x + 9y - z = 9 x - y - z = -9

Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation. -x - 2y + 3z = 11 4x + y - z = 4 2x - y + 3z = 10

Use Cramer's rule to solve the system. -

For the given matrix A, find -A. -

Given matrices A and B, find the indicated matrix if possible. - Find AB.

Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation. --5x + 3y = 8 -2x + 4y = 20

Use Cramer's rule to solve the system. -x + y + z - w = 6 2x - y + 3z + 4w = -4 4x + 2y - z - w = -13 -x - 2y + 4z + 3w = 12

Perform the indicated operation, if possible. -

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Exam 9: Matrices and Determinants

Use Cramer's rule to solve the system. -

Determine the row operation that was used on the first matrix to obtain the second matrix. -

Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.) -1.1x + 12.3y + 3.7z = 3.6 4.6x - 7.0y - 1.6z = -2.6 4.3x + 14.3y + 0.2z = 11.2

Solve the problem using two linear equations in two variables and Cramer's rule. -The perimeter of a rectangle is 25 units. If the width is doubled and the length is tripled, the perimeter is 53 units. Determine the original width and length.

Solve the problem. -Anne and Nancy use a metal alloy that is 19% copper to make jewelry. How many ounces of a 10% alloy must be mixed with a 27% alloy to form 119 ounces of the desired alloy?

Find the inverse of the matrix, if possible. -

Solve the problem. -Michael's bank contains only nickels, dimes, and quarters. There are 47 coins in all, valued at $3.75. The number of nickels is 5 short of being three times the sum of the number of dimes and quarters together. How many Dimes are in the bank?

Find the product. -

Determine the row operation that was used on the first matrix to obtain the second matrix. -

Find the value of x that ma kes the given equation true. -

Find the values that make the equation true. -

Solve the problem. -Michael's bank contains only nickels, dimes, and quarters. There are 51 coins in all, valued at $3.95. The number of nickels is 1 short of being three times the sum of the number of dimes and quarters together. How many Dimes are in the bank?

Write the linear system as a matrix equation of the form AX = B. -4x + 9y - z = 9 x - y - z = -9

Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation. -x - 2y + 3z = 11 4x + y - z = 4 2x - y + 3z = 10

Use Cramer's rule to solve the system. -

For the given matrix A, find -A. -

Given matrices A and B, find the indicated matrix if possible. - Find AB.

Solve the system using the inverse of the coefficient matrix of the equivalent matrix equation. --5x + 3y = 8 -2x + 4y = 20

Use Cramer's rule to solve the system. -x + y + z - w = 6 2x - y + 3z + 4w = -4 4x + 2y - z - w = -13 -x - 2y + 4z + 3w = 12

Perform the indicated operation, if possible. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters