Question 1

Write the augmented matrix for the system.
-

Accepted Answer

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

Question 2

Solve the problem.
-The sum of a student's three scores is 206. If the first is 12 points more than the second, and the sum of the first two is 14 more than twice the third, what was the first score?

Accepted Answer

A)  52 points 
B)  65 points 
C)  77 points 
D)  64 points 
A)  52 points 
B)  65 points 
C)  77 points 
D)  64 points

Question 3

Use a graphing calculator to solve the system by finding   . (Round to the nearest integer if necessary.)
-

Accepted Answer

A)  {(6, 4, 6)} 
B)  {(5, -6, -6)} 
C)  {(5, 6, 6)} 
D)  {(6, 6, 6)} 
A)  {(6, 4, 6)} 
B)  {(5, -6, -6)} 
C)  {(5, 6, 6)} 
D)  {(6, 6, 6)}

Question 4

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 5

Solve the system using Gaussian elimination.
-

Accepted Answer

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

Question 6

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the
matrix product AB, and interpret the significance of the entries of this product.
-

Accepted Answer

A)    The number of credits for Student 1 is 12, the number of credits for Student 2 is 17, and the number ofcredits for Student 3 is 15. 
B)    Tuition for Student 1 is $920, tuition for Student 2 is $820, and tuition for Student 3 is $650. 
C)    The number of credits for Student 1 is 17, the number of credits for Student 2 is 15, and the number ofcredits for Student 3 is 12. 
D)    Tuition for Student 1 is $820, tuition for Student 2 is $670, and tuition for Student 3 is $900. 
A)    The number of credits for Student 1 is 12, the number of credits for Student 2 is 17, and the number ofcredits for Student 3 is 15. 
B)    Tuition for Student 1 is $920, tuition for Student 2 is $820, and tuition for Student 3 is $650. 
C)    The number of credits for Student 1 is 17, the number of credits for Student 2 is 15, and the number ofcredits for Student 3 is 12. 
D)    Tuition for Student 1 is $820, tuition for Student 2 is $670, and tuition for Student 3 is $900.

Question 7

Provide an appropriate response.
-Suppose that you are solving a system of 4 linear equations and 4 variables by the Gaussian elimination method. If you use the transformation   which row(s) of the augmented matrix will change?

Accepted Answer

A)  Rows 2 and 4 
B)  Row 4 
C)  Row 2 
D)  No rows will change. 
A)  Rows 2 and 4 
B)  Row 4 
C)  Row 2 
D)  No rows will change.

Question 8

Write a system of equations associated with the augmented matrix. Do not try to solve.
-

Accepted Answer

A)    
B)    
C)  4x - 4y = -82x - 3y = 7 
D)  -4x + 4y = -82x - 3y = 7 
A)    
B)    
C)  4x - 4y = -82x - 3y = 7 
D)  -4x + 4y = -82x - 3y = 7

Question 9

Find the determinant of the given matrix.
-

Accepted Answer

A)  -14 
B)  14 
C)  202 
D)  -94 
A)  -14 
B)  14 
C)  202 
D)  -94

Question 10

Find the product if possible.
-

Accepted Answer

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

Question 11

Use Cramer's rule to solve the system.
-x + 2y - 3z + w = 7 3x + 4y - z + 2w = 4
-2x + y + z - w = -3
X - y + 2z - 2w = 1

Accepted Answer

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

Question 12

Solve the problem.
-A $110,000 trust is to be invested in bonds paying 8%, CDs paying 6%, and mortgages paying 10%. The bond and CD investment must equal the mortgage investment. To earn an $9160 annual income from the
Investments, how much should the bank invest in bonds?

Accepted Answer

A)  $16,000 
B)  $55,000 
C)  $18,000 
D)  $37,000 
A)  $16,000 
B)  $55,000 
C)  $18,000 
D)  $37,000

Question 13

Find the sum, if possible.
-

Accepted Answer

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

Question 14

Find the product.
-

Accepted Answer

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

Question 15

Solve the system using Gaussian elimination.
-7x - 5y + 2z = -6 2x + 2y - 9z = 4
35x - 25y + 10z = 5

Accepted Answer

A)  {(-6, 4, 5)} 
B)  {(x, y, z) 7x - 5y + 2z = 10} 
C)  {(5, 5, -1)} 
D)    
A)  {(-6, 4, 5)} 
B)  {(x, y, z) 7x - 5y + 2z = 10} 
C)  {(5, 5, -1)} 
D)

Question 16

Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.)
-1.9x + 16.5y + 4.4z = 3.9 4.2x - 7.0y - 2.0z = -4.9
4.3x + 10.1y + 3.4z = 8.7

Accepted Answer

A)  {(-0.2, -1.1, 4.8)} 
B)  {(-0.1, -0.5, 2.1)} 
C)  {(-0.4, -2.5, 10.6)} 
D)  {(-0.8, -5.6, 23.2)} 
A)  {(-0.2, -1.1, 4.8)} 
B)  {(-0.1, -0.5, 2.1)} 
C)  {(-0.4, -2.5, 10.6)} 
D)  {(-0.8, -5.6, 23.2)}

Question 17

Write a system of equations associated with the augmented matrix. Do not try to solve.
-

Accepted Answer

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

Question 18

Find the product.
-

Accepted Answer

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

Question 19

Find the sum, if possible.
-

Accepted Answer

A)    
B)    
C)  Not defined 
D)    
A)    
B)    
C)  Not defined 
D)

Question 20

Solve the system using Gaussian elimination.
-8x - 6y + 3z = 44 -40x + 30y - 15z = -220
40x - 30y + 15z = 220

Accepted Answer

A)  {(x, y, z) 40x - 30y + 15z = 44} 
B)  {(7, 6, 8)} 
C)    
D)  {(x, y, z) 8x - 6y + 3z = 44} 
A)  {(x, y, z) 40x - 30y + 15z = 44} 
B)  {(7, 6, 8)} 
C)    
D)  {(x, y, z) 8x - 6y + 3z = 44}

Write the augmented matrix for the system. -

Solve the problem. -The sum of a student's three scores is 206. If the first is 12 points more than the second, and the sum of the first two is 14 more than twice the third, what was the first score?

Use a graphing calculator to solve the system by finding . (Round to the nearest integer if necessary.) -

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

Solve the system using Gaussian elimination. -

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product. -

Provide an appropriate response. -Suppose that you are solving a system of 4 linear equations and 4 variables by the Gaussian elimination method. If you use the transformation which row(s) of the augmented matrix will change?

Write a system of equations associated with the augmented matrix. Do not try to solve. -

Find the determinant of the given matrix. -

Find the product if possible. -

Use Cramer's rule to solve the system. -x + 2y - 3z + w = 7 3x + 4y - z + 2w = 4 -2x + y + z - w = -3 X - y + 2z - 2w = 1

Solve the problem. -A $110,000 trust is to be invested in bonds paying 8%, CDs paying 6%, and mortgages paying 10%. The bond and CD investment must equal the mortgage investment. To earn an $9160 annual income from the Investments, how much should the bank invest in bonds?

Find the sum, if possible. -

Find the product. -

Solve the system using Gaussian elimination. -7x - 5y + 2z = -6 2x + 2y - 9z = 4 35x - 25y + 10z = 5

Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.) -1.9x + 16.5y + 4.4z = 3.9 4.2x - 7.0y - 2.0z = -4.9 4.3x + 10.1y + 3.4z = 8.7

Write a system of equations associated with the augmented matrix. Do not try to solve. -

Find the product. -

Find the sum, if possible. -

Solve the system using Gaussian elimination. -8x - 6y + 3z = 44 -40x + 30y - 15z = -220 40x - 30y + 15z = 220

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Exam 9: Matrices and Determinants

Write the augmented matrix for the system. -

Solve the problem. -The sum of a student's three scores is 206. If the first is 12 points more than the second, and the sum of the first two is 14 more than twice the third, what was the first score?

Use a graphing calculator to solve the system by finding . (Round to the nearest integer if necessary.) -

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

Solve the system using Gaussian elimination. -

Find a matrix A and a column matrix B that describe the following tables involving credits and tuition costs. Find the matrix product AB, and interpret the significance of the entries of this product. -

Provide an appropriate response. -Suppose that you are solving a system of 4 linear equations and 4 variables by the Gaussian elimination method. If you use the transformation which row(s) of the augmented matrix will change?

Write a system of equations associated with the augmented matrix. Do not try to solve. -

Find the determinant of the given matrix. -

Find the product if possible. -

Use Cramer's rule to solve the system. -x + 2y - 3z + w = 7 3x + 4y - z + 2w = 4 -2x + y + z - w = -3 X - y + 2z - 2w = 1

Solve the problem. -A $110,000 trust is to be invested in bonds paying 8%, CDs paying 6%, and mortgages paying 10%. The bond and CD investment must equal the mortgage investment. To earn an $9160 annual income from the Investments, how much should the bank invest in bonds?

Find the sum, if possible. -

Find the product. -

Solve the system using Gaussian elimination. -7x - 5y + 2z = -6 2x + 2y - 9z = 4 35x - 25y + 10z = 5

Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.) -1.9x + 16.5y + 4.4z = 3.9 4.2x - 7.0y - 2.0z = -4.9 4.3x + 10.1y + 3.4z = 8.7

Write a system of equations associated with the augmented matrix. Do not try to solve. -

Find the product. -

Find the sum, if possible. -

Solve the system using Gaussian elimination. -8x - 6y + 3z = 44 -40x + 30y - 15z = -220 40x - 30y + 15z = 220

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