Question 1

Verify that the values of the variables listed are solutions of the system of equations.
-  x = -1, y = 3

Accepted Answer

A) solution 
B) not a solution 
A) solution 
B) not a solution

Question 2

Solve the system of equations using substitution.
-

Accepted Answer

A) x = 5, y = 10 or (5, 10) 
B)    
C)    
D)    
A) x = 5, y = 10 or (5, 10) 
B)    
C)    
D)

Question 3

Compute the product.
-

Accepted Answer

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

Question 4

Compute the product.
-

Accepted Answer

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

Question 5

Write the word or phrase that best completes each statement or answers the question.
Graph the equations of the system. Then solve the system to find the points of intersection.
-

Accepted Answer

The answer of Write the word or phrase that best...

Question 6

The graph of two equations along with the points of intersection are given. Substitute the points of intersection
into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)?
-

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 7

Graph the system of inequalities.
-

Accepted Answer

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

Question 8

Perform the indicated operation(s), whenever possible.
-Let   and B   Find A - B.

Accepted Answer

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

Question 9

Solve the system of equations by elimination.
-

Accepted Answer

A) x = -4, y = 0; (-4, 0) 
B) x = 4, y = 0; (4, 0) 
C) x = 0, y = -4; (0, -4) 
D) x = 0, y = 4; (0, 4) 
A) x = -4, y = 0; (-4, 0) 
B) x = 4, y = 0; (4, 0) 
C) x = 0, y = -4; (0, -4) 
D) x = 0, y = 4; (0, 4)

Question 10

Perform the row operation(s)on the given augmented matrix.
-

Accepted Answer

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

Question 11

Write the word or phrase that best completes each statement or answers the question.
-A system for tracking ships indicated that a ship lies on a hyperbolic path described by   Theprocess is repeated and the ship is found to lie on a hyperbolic path described by   If it isknown that the ship is located in the first quadrant of the coordinate system, determine its exact location.

Accepted Answer

A) (4, 6) 
B) (-4, -6) 
C) (6, 4) 
D) (-6, -4) 
A) (4, 6) 
B) (-4, -6) 
C) (6, 4) 
D) (-6, -4)

Question 12

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A person with no more than $4,000 to invest plans to place the money in two investments,telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 3times the pharmaceuticals investment. Write a system of inequalities to describe the situation. Letx = amount to be invested in telecommunications and y = amount to be invested in pharmaceuticals.

Accepted Answer

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

Question 13

Find the maximum or minimum value of the given objective function of a linear programming problem. The figure
illustrates the graph of feasible points.  
-z = -x - 8y. Find maximum.

Accepted Answer

A) maximum: -20 
B) maximum: -27 
C) maximum: -42 
D) maximum: -34 
A) maximum: -20 
B) maximum: -27 
C) maximum: -42 
D) maximum: -34

Question 14

Write the augmented matrix for the system.
-

Accepted Answer

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

Question 15

Solve the system of equations. If the system has no solution, say that it is inconsistent.
-

Accepted Answer

A) x = 4, y = 5; (4, 5) 
B)    
C) x = 4, y = 20; (4, 20) 
D) inconsistent 
A) x = 4, y = 5; (4, 5) 
B)    
C) x = 4, y = 20; (4, 20) 
D) inconsistent

Question 16

Write the partial fraction decomposition of the rational expression.
-

Accepted Answer

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

Question 17

Solve the problem.
-Determinants are used to show that three points lie on the same line (are collinear). If   then the points   are collinear. If the determinant does not equal 0, then thepoints are not collinear. Are the points (9, 2), (0, -6), and (45, 35)collinear?

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 18

Solve the problem.
-Given that   find the value of the determinant

Accepted Answer

A) -9 
B) 9 
C) 0 
D) 6 
A) -9 
B) 9 
C) 0 
D) 6

Question 19

Solve the system of equations using Cramerʹs Rule if it is applicable. If Cramerʹs Rule is not applicable, say so.
-

Accepted Answer

A) x = 4, y = 3; (4, 3) 
B) x = 3, y = 4; (3, 4) 
C) x = -3, y = 4; (-3, 4) 
D) x = -4, y = -3; (-4, -3) 
A) x = 4, y = 3; (4, 3) 
B) x = 3, y = 4; (3, 4) 
C) x = -3, y = 4; (-3, 4) 
D) x = -4, y = -3; (-4, -3)

Question 20

Write the word or phrase that best completes each statement or answers the question.
-A person at the top of a 600 foot tall building drops a yellow ball. The height of the yellow ball is given bythe equation   where h is measured in feet and t is the number of seconds since the yellowball was dropped. A second person, in the same building but on a lower floor that is 180 feet from theground, drops a white ball 3.5 seconds after the yellow ball was dropped. The height of the white ball isgiven by the equation   where h is measured in feet and t is the number of secondssince the yellow ball was dropped. Find the time that the balls are the same distance above the ground andfind this distance.

Accepted Answer

A) 5.5 sec; 116 ft 
B) 4.5 sec; 276 ft 
C) 5 sec; 200 ft 
D) 6 sec; 24 ft 
A) 5.5 sec; 116 ft 
B) 4.5 sec; 276 ft 
C) 5 sec; 200 ft 
D) 6 sec; 24 ft

Verify that the values of the variables listed are solutions of the system of equations. - x = -1, y = 3

Solve the system of equations using substitution. -

Compute the product. -

Compute the product. -

Write the word or phrase that best completes each statement or answers the question. Graph the equations of the system. Then solve the system to find the points of intersection. -

The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)? -

Graph the system of inequalities. -

Perform the indicated operation(s), whenever possible. -Let and B Find A - B.

Solve the system of equations by elimination. -

Perform the row operation(s)on the given augmented matrix. -

Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of feasible points. -z = -x - 8y. Find maximum.

Write the augmented matrix for the system. -

Solve the system of equations. If the system has no solution, say that it is inconsistent. -

Write the partial fraction decomposition of the rational expression. - $Write the partial fraction decomposition of the rational expression. -$

Solve the problem. -Determinants are used to show that three points lie on the same line (are collinear). If then the points are collinear. If the determinant does not equal 0, then thepoints are not collinear. Are the points (9, 2), (0, -6), and (45, 35)collinear?

Solve the problem. -Given that find the value of the determinant

Solve the system of equations using Cramerʹs Rule if it is applicable. If Cramerʹs Rule is not applicable, say so. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Exam 8: Systems of Equations and Inequalities

Verify that the values of the variables listed are solutions of the system of equations. - x = -1, y = 3

Solve the system of equations using substitution. -

Compute the product. -

Compute the product. -

Write the word or phrase that best completes each statement or answers the question. Graph the equations of the system. Then solve the system to find the points of intersection. -

The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)? -

Graph the system of inequalities. -

Perform the indicated operation(s), whenever possible. -Let and B Find A - B.

Solve the system of equations by elimination. -

Perform the row operation(s)on the given augmented matrix. -

Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of feasible points. -z = -x - 8y. Find maximum.

Write the augmented matrix for the system. -

Solve the system of equations. If the system has no solution, say that it is inconsistent. -

Write the partial fraction decomposition of the rational expression. -

Solve the problem. -Determinants are used to show that three points lie on the same line (are collinear). If then the points are collinear. If the determinant does not equal 0, then thepoints are not collinear. Are the points (9, 2), (0, -6), and (45, 35)collinear?

Solve the problem. -Given that find the value of the determinant

Solve the system of equations using Cramerʹs Rule if it is applicable. If Cramerʹs Rule is not applicable, say so. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Write the partial fraction decomposition of the rational expression. - $Write the partial fraction decomposition of the rational expression. -$