Question 1

Determine which one of the ordered triples below is a solution of the given system of equations.

Accepted Answer

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

Question 2

Determine which ordered pair is a solution of the system.

Accepted Answer

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

Question 3

Find the sales necessary to break even (R - C = 0) for the cost C of producing x units and the revenue R obtained by selling x units. (Round to the nearest whole unit.)

Accepted Answer

A)  254 units 
B)  254 units or 281 units 
C)  272 units 
D)  281 units 
E)  no real solution 
A)  254 units 
B)  254 units or 281 units 
C)  272 units 
D)  281 units 
E)  no real solution

Question 4

Find the product.

Accepted Answer

A)    
B)    
C)  28 
D)    
E)    
A)    
B)    
C)  28 
D)    
E)

Question 5

Determine which one of the ordered triples below is a solution of the given system of equations.

Accepted Answer

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

Question 6

Solve using any method.

Accepted Answer

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

Question 7

Evaluate the expression.

Accepted Answer

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

Question 8

Solve the system by substitution, if possible.

Accepted Answer

A)  (11, -2) 
B)  (8, 4) 
C)  (-3, 12) 
D)  (-4, -7) 
E)  no solution; inconsistent system 
A)  (11, -2) 
B)  (8, 4) 
C)  (-3, 12) 
D)  (-4, -7) 
E)  no solution; inconsistent system

Question 9

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 10

Solve the system of equations by graphing.

Accepted Answer

A)  (3, -3) 
B)  (3, 9) 
C)  (-3, 3) 
D)  (2, 1) 
E)  (-2, 4) 
A)  (3, -3) 
B)  (3, 9) 
C)  (-3, 3) 
D)  (2, 1) 
E)  (-2, 4)

Question 11

Solve the system using Gauss-Jordan elimination.

Accepted Answer

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

Question 12

Write the augmented matrix for the system of linear equations.

Accepted Answer

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

Question 13

Find the equilibrium point of the demand and supply equations. (The equilibrium point is the price p and number of units x that satisfy both the demand and supply equations.) Demand
Supply

Accepted Answer

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

Question 14

Solve the system by the method of elimination.

Accepted Answer

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

Question 15

Solve the system using Gaussian elimination.

Accepted Answer

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

Question 16

Solve the system using Gaussian elimination.

Accepted Answer

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

Question 17

Solve the system using Gauss-Jordan elimination.

Accepted Answer

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

Question 18

Solve the system, if possible.

Accepted Answer

A)  x = -10, y = 7, z = 8 
B)  x = 3, y = 18, z = 8 
C)  x = 10, y = -7, z = -8 
D)  x = -6, y = 10, z = 8 
E)  no solution; inconsistent system 
A)  x = -10, y = 7, z = 8 
B)  x = 3, y = 18, z = 8 
C)  x = 10, y = -7, z = -8 
D)  x = -6, y = 10, z = 8 
E)  no solution; inconsistent system

Question 19

Find the determinant of the matrix   .

Accepted Answer

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

Question 20

Determine which ordered pair is a solution of the system.

Accepted Answer

A)  (-6, 5) 
B)  (5, 6) 
C)  (2, -1) 
D)  (-2, -1) 
E)  (-1, -2) 
A)  (-6, 5) 
B)  (5, 6) 
C)  (2, -1) 
D)  (-2, -1) 
E)  (-1, -2)

Determine which one of the ordered triples below is a solution of the given system of equations.

Determine which ordered pair is a solution of the system.

Find the sales necessary to break even (R - C = 0) for the cost C of producing x units and the revenue R obtained by selling x units. (Round to the nearest whole unit.)

Find the product.

Determine which one of the ordered triples below is a solution of the given system of equations.

Solve using any method.

Evaluate the expression.

Solve the system by substitution, if possible.

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

Solve the system of equations by graphing.

Solve the system using Gauss-Jordan elimination.

Write the augmented matrix for the system of linear equations.

Find the equilibrium point of the demand and supply equations. (The equilibrium point is the price p and number of units x that satisfy both the demand and supply equations.) Demand Supply

Solve the system by the method of elimination.

Solve the system using Gaussian elimination.

Solve the system using Gaussian elimination.

Solve the system using Gauss-Jordan elimination.

Solve the system, if possible.

Find the determinant of the matrix .

Determine which ordered pair is a solution of the system.

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

Determine which one of the ordered triples below is a solution of the given system of equations.

Determine which ordered pair is a solution of the system.

Find the sales necessary to break even (R - C = 0) for the cost C of producing x units and the revenue R obtained by selling x units. (Round to the nearest whole unit.)

Find the product.

Determine which one of the ordered triples below is a solution of the given system of equations.

Solve using any method.

Evaluate the expression.

Solve the system by substitution, if possible.

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

Solve the system of equations by graphing.

Solve the system using Gauss-Jordan elimination.

Write the augmented matrix for the system of linear equations.

Find the equilibrium point of the demand and supply equations. (The equilibrium point is the price p and number of units x that satisfy both the demand and supply equations.) Demand Supply

Solve the system by the method of elimination.

Solve the system using Gaussian elimination.

Solve the system using Gaussian elimination.

Solve the system using Gauss-Jordan elimination.

Solve the system, if possible.

Find the determinant of the matrix .

Determine which ordered pair is a solution of the system.

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