Question 1

Determine the size of the matrix and identify the entry located in the second row and first column.

Accepted Answer

A)  3 * 2; 6 
B)  2 * 3; 6 
C)  3 * 2; 1.3 
D)  2 * 3; 1.3 
A)  3 * 2; 6 
B)  2 * 3; 6 
C)  3 * 2; 1.3 
D)  2 * 3; 1.3

Question 2

The length of a rectangle is 9 in. more than twice its width. If the perimeter of the rectangle is 54 in., find the width of the rectangle.

Accepted Answer

A)  5 in. 
B)  6 in. 
C)  7 in. 
D)  8 in. 
A)  5 in. 
B)  6 in. 
C)  7 in. 
D)  8 in.

Question 3

Whitney invested $8,000, part at 14% and part at 8%. If the total interest at the end of the year is $940, how much did she invest at each rate?

Accepted Answer

$5,000 at

Question 4

Solve the system of inequalities by graphing the solution region.

Accepted Answer

@#IMG-DLM& (Tickmark

Question 5

Solve the system using elimination. If the system is linearly dependent, state the general solution in terms of a parameter.

Accepted Answer

A)  (-1, -7, 0) 
B)  (3, 3, 2) 
C)  (2z - 3, 5z - 7, z) 
D)  no solution, inconsistent 
A)  (-1, -7, 0) 
B)  (3, 3, 2) 
C)  (2z - 3, 5z - 7, z) 
D)  no solution, inconsistent

Question 6

Perform the indicated operation, if possible. Do not use a calculator.   AB

Accepted Answer

A) 
  
B) 
  
C) 
  
D)  matrix multiplication not possible 
A) 
  
B) 
  
C) 
  
D)  matrix multiplication not possible

Question 7

Write the system of equations for the matrix. Then use back-substitution to find its solution.

Accepted Answer

The answer of Write the system of equations for the...

Question 8

Solve the system by triangularizing the augmented matrix and using back substitution.

Accepted Answer

A)  (-2, -2, -3) 
B)  (-2, -2, -2) 
C)  (-1, -3, -2) 
D)  (-1, -3, -3) 
A)  (-2, -2, -3) 
B)  (-2, -2, -2) 
C)  (-1, -3, -2) 
D)  (-1, -3, -3)

Question 9

Use a calculator to compute the determinant of the matrix. If the determinant is zero, write singular matrix. If the determinant is nonzero, find A-1.

Accepted Answer

A) 
  
B) 
  
C) 
  
D)  singular matrix 
A) 
  
B) 
  
C) 
  
D)  singular matrix

Question 10

Use the following to answer questions :  
-Use back-substitution to find the solution.

Accepted Answer

A)  (27, -7, -5) 
B)  (-5, -7, 27) 
C)  (25, -7, -5) 
D)  (-5, -7, 25) 
A)  (27, -7, -5) 
B)  (-5, -7, 27) 
C)  (25, -7, -5) 
D)  (-5, -7, 25)

Question 11

Determine the size of the matrix and identify the entry located in the second row and first column.

Accepted Answer

A)  3 * 2; 8 
B)  2 * 3; 8 
C)  3 * 2; 4.1 
D)  2 * 3; 4.1 
A)  3 * 2; 8 
B)  2 * 3; 8 
C)  3 * 2; 4.1 
D)  2 * 3; 4.1

Question 12

Solve the system of inequalities by graphing the solution region.

Accepted Answer

@#IMG-DLM& (Tickmark

Question 13

Perform the indicated operation, if possible. Do not use a calculator. If an operation cannot be completed, state why.   A + B

Accepted Answer

A) 
  
B) 
  
C) 
  
D)  different orders, sum not possible 
A) 
  
B) 
  
C) 
  
D)  different orders, sum not possible

Question 14

Find the inverse of the 2 * 2 matrix using matrix multiplication, equality of matrices, and a system of equations.

Accepted Answer

The answer of Find the inverse of the 2 *...

Question 15

Solve the system by graphing. If the solution does not appear to be a lattice point, estimate the solution to the nearest tenth (indicate that your solution is an estimate).

Accepted Answer

(1, 3) @#IMG-DLM& (G

Question 16

Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

Accepted Answer

A)  (0, 0, -3) 
B)  (0, 0, -2) 
C)  coincident dependence; {(x, y, z) | x - y + z = -2} 
D)  no solution, inconsistent 
A)  (0, 0, -3) 
B)  (0, 0, -2) 
C)  coincident dependence; {(x, y, z) | x - y + z = -2} 
D)  no solution, inconsistent

Question 17

Solve the system using the elimination method. If the system is inconsistent or dependent, so state. For systems with linear dependence, write the answer as an ordered triple in terms of a parameter.

Accepted Answer

The answer of Solve the system using the elimination method....

Question 18

Use a calculator to compute the determinant of the matrix. If the determinant is zero, write singular matrix. If the determinant is nonzero, find A-1.

Accepted Answer

A) 
  
B) 
  
C) 
  
D)  singular matrix 
A) 
  
B) 
  
C) 
  
D)  singular matrix

Question 19

Use Cramer's rule to solve the system of equations.

Accepted Answer

The answer of Use Cramer's rule to solve the system...

Question 20

Write the system in the form of a matrix equation. Do not solve.

Accepted Answer

The answer of Write the system in the form of...

Determine the size of the matrix and identify the entry located in the second row and first column.

The length of a rectangle is 9 in. more than twice its width. If the perimeter of the rectangle is 54 in., find the width of the rectangle.

Whitney invested $8,000, part at 14% and part at 8%. If the total interest at the end of the year is $940, how much did she invest at each rate?

Solve the system of inequalities by graphing the solution region.

Solve the system using elimination. If the system is linearly dependent, state the general solution in terms of a parameter.

Perform the indicated operation, if possible. Do not use a calculator. AB

Write the system of equations for the matrix. Then use back-substitution to find its solution.

Solve the system by triangularizing the augmented matrix and using back substitution.

Use a calculator to compute the determinant of the matrix. If the determinant is zero, write singular matrix. If the determinant is nonzero, find A^-1.

Use the following to answer questions : -Use back-substitution to find the solution.

Determine the size of the matrix and identify the entry located in the second row and first column.

Solve the system of inequalities by graphing the solution region.

Perform the indicated operation, if possible. Do not use a calculator. If an operation cannot be completed, state why. A + B

Find the inverse of the 2 * 2 matrix using matrix multiplication, equality of matrices, and a system of equations.

Solve the system by graphing. If the solution does not appear to be a lattice point, estimate the solution to the nearest tenth (indicate that your solution is an estimate).

Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

Solve the system using the elimination method. If the system is inconsistent or dependent, so state. For systems with linear dependence, write the answer as an ordered triple in terms of a parameter.

Use a calculator to compute the determinant of the matrix. If the determinant is zero, write singular matrix. If the determinant is nonzero, find A^-1.

Use Cramer's rule to solve the system of equations.

Write the system in the form of a matrix equation. Do not solve.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 8: Systems of Equations and Inequalities

Determine the size of the matrix and identify the entry located in the second row and first column.

The length of a rectangle is 9 in. more than twice its width. If the perimeter of the rectangle is 54 in., find the width of the rectangle.

Whitney invested $8,000, part at 14% and part at 8%. If the total interest at the end of the year is $940, how much did she invest at each rate?

Solve the system of inequalities by graphing the solution region.

Solve the system using elimination. If the system is linearly dependent, state the general solution in terms of a parameter.

Perform the indicated operation, if possible. Do not use a calculator. AB

Write the system of equations for the matrix. Then use back-substitution to find its solution.

Solve the system by triangularizing the augmented matrix and using back substitution.

Use a calculator to compute the determinant of the matrix. If the determinant is zero, write singular matrix. If the determinant is nonzero, find A-1.

Use the following to answer questions : -Use back-substitution to find the solution.

Determine the size of the matrix and identify the entry located in the second row and first column.

Solve the system of inequalities by graphing the solution region.

Perform the indicated operation, if possible. Do not use a calculator. If an operation cannot be completed, state why. A + B

Find the inverse of the 2 * 2 matrix using matrix multiplication, equality of matrices, and a system of equations.

Solve the system by graphing. If the solution does not appear to be a lattice point, estimate the solution to the nearest tenth (indicate that your solution is an estimate).

Solve the system by triangularizing the augmented matrix and using back substitution. If the system is linearly dependent, give the solution in terms of a parameter.

Solve the system using the elimination method. If the system is inconsistent or dependent, so state. For systems with linear dependence, write the answer as an ordered triple in terms of a parameter.

Use a calculator to compute the determinant of the matrix. If the determinant is zero, write singular matrix. If the determinant is nonzero, find A-1.

Use Cramer's rule to solve the system of equations.

Write the system in the form of a matrix equation. Do not solve.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Use a calculator to compute the determinant of the matrix. If the determinant is zero, write singular matrix. If the determinant is nonzero, find A^-1.

Use a calculator to compute the determinant of the matrix. If the determinant is zero, write singular matrix. If the determinant is nonzero, find A^-1.