Question 1

Use the properties of determinants to find the value of the second determinant, given the value of the first.
-

Accepted Answer

A) 56 
B) -28 
C) -56 
D) 28 
A) 56 
B) -28 
C) -56 
D) 28

Question 2

Write the word or phrase that best completes each statement or answers the question.
-

Accepted Answer

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

Question 3

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A man is planting a section of garden with tomatoes and cucumbers. The available area of the section is140 square feet. He wants the area planted with tomatoes to be more than 40% of the area planted withcucumbers. Write a system of inequalities to describe the situation. Let x = amount to be planted intomatoes and y = amount to be planted in cucumbers.

Accepted Answer

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

Question 4

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 (4, -8), (0, 5), and (12, -34)collinear?

Accepted Answer

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

Question 5

Write the word or phrase that best completes each statement or answers the question.
-A health shop owner made trail mix containing dried fruit, nuts, and carob chips. The dried fruit sells for$5.50 per pound, the nuts sell for $7.50 per pound, and the carob chips sell for $8.50 per pound. The shopowner mixed 50 pounds of the trail mix and sells it for $6.70 per pound. If the amount of nuts is fivepounds more than the amount of carob ships, how much of each item was used for the trail mix?

Accepted Answer

fruit: 25

Question 6

Solve the system of equations using substitution.
-

Accepted Answer

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

Question 7

Tell whether the given rational expression is proper or improper.
-

Accepted Answer

A) improper 
B) proper 
A) improper 
B) proper

Question 8

Solve for x.
-

Accepted Answer

A) 5 
B) 2 
C) 1 
D) -2 
A) 5 
B) 2 
C) 1 
D) -2

Question 9

Write the word or phrase that best completes each statement or answers the question.
-

Accepted Answer

A) x = -4, y = 3, z = 5, w = -2; (-4, 3, 5, -2) 
B) x = 4, y = -3, z = -5, w = 2; (4, -3, -5, 2) 
C)    
D)    
A) x = -4, y = 3, z = 5, w = -2; (-4, 3, 5, -2) 
B) x = 4, y = -3, z = -5, w = 2; (4, -3, -5, 2) 
C)    
D)

Question 10

Use the properties of determinants to find the value of the second determinant, given the value of the first.
-Given   find the value of

Accepted Answer

A) 3 
B) -24 
C) 24 
D) -3 
A) 3 
B) -24 
C) 24 
D) -3

Question 11

Solve the system of equations using substitution.
-

Accepted Answer

A) x = 5, y = -5; x = -5, y = -6; x = 6, y = 5; x = -6, y = -5 or (5, -5), (-5, -6), (6, 5), (-6, -5) 
B) x = 5, y = 6; x = -5, y = -6; x = 5, y = -6; x = -5, y = 6 or (5, 6), (-5, -6), (5, -6), (-5, 6) 
C) x = 5, y = 6; x = 6, y = 5; x = 5, y = -6; x = 6, y = -5 or (5, 6), (6, 5), (5, -6), (6, -5) 
D) x = -5, y = -6; x = -6, y = -5; x = -5, y = 6; x = -6, y = 5 or (-5, -6), (-6, -5), (-5, 6), (-6, 5) 
A) x = 5, y = -5; x = -5, y = -6; x = 6, y = 5; x = -6, y = -5 or (5, -5), (-5, -6), (6, 5), (-6, -5) 
B) x = 5, y = 6; x = -5, y = -6; x = 5, y = -6; x = -5, y = 6 or (5, 6), (-5, -6), (5, -6), (-5, 6) 
C) x = 5, y = 6; x = 6, y = 5; x = 5, y = -6; x = 6, y = -5 or (5, 6), (6, 5), (5, -6), (6, -5) 
D) x = -5, y = -6; x = -6, y = -5; x = -5, y = 6; x = -6, y = 5 or (-5, -6), (-6, -5), (-5, 6), (-6, 5)

Question 12

Write the word or phrase that best completes each statement or answers the question.
Show that the matrix has no inverse.
-

Accepted Answer

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

Question 13

Solve the system of equations. [Hint: Let   , and solve for u and v. Then let  
-

Accepted Answer

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

Question 14

Write the word or phrase that best completes each statement or answers the question.
-The matrix   represents one weekʹs usage of wood (in board-feet)at two locations of a company thatmanufactures chairs. Due to differences in transportation costs, the first location pays $0.89 per board-footand the second location pays $0.94 per board-foot.(a)Find a 1 by 2 matrix representing the cost of the wood.(b)Multiply the given matrix and the matrix found in part a to determine the total cost of wood for that we

Accepted Answer

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

Question 15

Solve the problem using matrices.
-Find the function f   for which f(0)= -2, f(1)= 5, f(-1)= 3,f(2)= 4.

Accepted Answer

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

Question 16

Solve the system of equations.
-

Accepted Answer

A) x = -3z - 5, and y = z + 2, where z is any real number or   , and y = z + 2, where z is any real number} 
B) x = z - 2, and y = -3z - 5, where z is any real number or {   , and y = -3z - 5, where z is any real number} 
C) x = 3z + 5, and y = z - 2, where z is any real number or   , and y = z - 2, where z is any real number} 
D) inconsistent 
A) x = -3z - 5, and y = z + 2, where z is any real number or   , and y = z + 2, where z is any real number} 
B) x = z - 2, and y = -3z - 5, where z is any real number or {   , and y = -3z - 5, where z is any real number} 
C) x = 3z + 5, and y = z - 2, where z is any real number or   , and y = z - 2, where z is any real number} 
D) inconsistent

Question 17

Solve using elimination.
-

Accepted Answer

A) x = 6, y = 7; x = -6, y = 7; x = 6, y = -7; x = -6, y = -7 or (6, 7), (-6, 7), (6, -7), (-6, -7) 
B) x = 6, y = 7; x = 7, y = 6; x = -6, y = -7; x = -7, y = -6 or (6, 7), (7, -6), (-6, -7), (-7, -6) 
C) x = 6, y = -7; x = 6, y = 7 or (6, -7), (6, 7) 
D) x = -6, y = -7; x = -7, y = -6 or (-6, -7), (-7, -6) 
A) x = 6, y = 7; x = -6, y = 7; x = 6, y = -7; x = -6, y = -7 or (6, 7), (-6, 7), (6, -7), (-6, -7) 
B) x = 6, y = 7; x = 7, y = 6; x = -6, y = -7; x = -7, y = -6 or (6, 7), (7, -6), (-6, -7), (-7, -6) 
C) x = 6, y = -7; x = 6, y = 7 or (6, -7), (6, 7) 
D) x = -6, y = -7; x = -7, y = -6 or (-6, -7), (-7, -6)

Question 18

Solve the system of equations by elimination.
-

Accepted Answer

A) x = 5.5, y = -8.5; (5.5, -8.5) 
B) x = 5.5, y = 8.5; (5.5, 8.5) 
C) x = 3, y = -8.5; (3, -8.5) 
D) x = 3, y = 5.5; (3, 5.5) 
A) x = 5.5, y = -8.5; (5.5, -8.5) 
B) x = 5.5, y = 8.5; (5.5, 8.5) 
C) x = 3, y = -8.5; (3, -8.5) 
D) x = 3, y = 5.5; (3, 5.5)

Question 19

Graph the system of inequalities.
-

Accepted Answer

A)    
B)    
C)    
D)    No solution 
A)    
B)    
C)    
D)    No solution

Question 20

Solve the problem.
-A retired couple has $180,000 to invest to obtain annual income. They want some of it invested in safeCertificates of Deposit yielding 6%. The rest they want to invest in AA bonds yielding 11% per year. Howmuch should they invest in each to realize exactly $17,300 per year?

Accepted Answer

A) $130,000 at 11% and $50,000 at 6% 
B) $130,000 at 6% and $50,000 at 11% 
C) $120,000 at 6% and $60,000 at 11% 
D) $140,000 at 11% and $40,000 at 6% 
A) $130,000 at 11% and $50,000 at 6% 
B) $130,000 at 6% and $50,000 at 11% 
C) $120,000 at 6% and $60,000 at 11% 
D) $140,000 at 11% and $40,000 at 6%

Use the properties of determinants to find the value of the second determinant, given the value of the first. -

Write the word or phrase that best completes each statement or answers the question. -

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 (4, -8), (0, 5), and (12, -34)collinear?

Solve the system of equations using substitution. -

Tell whether the given rational expression is proper or improper. -

Solve for x. -

Write the word or phrase that best completes each statement or answers the question. -

Use the properties of determinants to find the value of the second determinant, given the value of the first. -Given find the value of

Solve the system of equations using substitution. -

Write the word or phrase that best completes each statement or answers the question. Show that the matrix has no inverse. -

Solve the system of equations. [Hint: Let , and solve for u and v. Then let -

Solve the problem using matrices. -Find the function f for which f(0)= -2, f(1)= 5, f(-1)= 3,f(2)= 4.

Solve the system of equations. -

Solve using elimination. -

Solve the system of equations by elimination. -

Graph the system of inequalities. -

Solve the problem. -A retired couple has $180,000 to invest to obtain annual income. They want some of it invested in safeCertificates of Deposit yielding 6%. The rest they want to invest in AA bonds yielding 11% per year. Howmuch should they invest in each to realize exactly $17,300 per year?

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

Use the properties of determinants to find the value of the second determinant, given the value of the first. -

Write the word or phrase that best completes each statement or answers the question. -

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 (4, -8), (0, 5), and (12, -34)collinear?

Solve the system of equations using substitution. -

Tell whether the given rational expression is proper or improper. -

Solve for x. -

Write the word or phrase that best completes each statement or answers the question. -

Use the properties of determinants to find the value of the second determinant, given the value of the first. -Given find the value of

Solve the system of equations using substitution. -

Write the word or phrase that best completes each statement or answers the question. Show that the matrix has no inverse. -

Solve the system of equations. [Hint: Let , and solve for u and v. Then let -

Solve the problem using matrices. -Find the function f for which f(0)= -2, f(1)= 5, f(-1)= 3,f(2)= 4.

Solve the system of equations. -

Solve using elimination. -

Solve the system of equations by elimination. -

Graph the system of inequalities. -

Solve the problem. -A retired couple has $180,000 to invest to obtain annual income. They want some of it invested in safeCertificates of Deposit yielding 6%. The rest they want to invest in AA bonds yielding 11% per year. Howmuch should they invest in each to realize exactly $17,300 per year?

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