Question 1

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

Accepted Answer

A) x = 3, y = 1, z = -2, w = 5; (3, 1, -2, 5) 
B) x = 5, y = 21, z = -14, w = -2; (5, 21, -14, -2) 
C) x = 3 + w, y = 1 - 2w, z = -2 + 2w, where w is any real number 
D) x = 2, y = 3, z = -6, w = 7; (2, 3, -6, 7) 
A) x = 3, y = 1, z = -2, w = 5; (3, 1, -2, 5) 
B) x = 5, y = 21, z = -14, w = -2; (5, 21, -14, -2) 
C) x = 3 + w, y = 1 - 2w, z = -2 + 2w, where w is any real number 
D) x = 2, y = 3, z = -6, w = 7; (2, 3, -6, 7)

Question 2

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

Accepted Answer

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

Question 3

Solve the system of equations by substitution.
-

Accepted Answer

A) x = 5, y = -2; (5, -2) 
B) x = -5, y = 2; (-5, 2) 
C) x = 5, y = 2; (5, 2) 
D) x = -5, y = -2; ( -5, -2) 
A) x = 5, y = -2; (5, -2) 
B) x = -5, y = 2; (-5, 2) 
C) x = 5, y = 2; (5, 2) 
D) x = -5, y = -2; ( -5, -2)

Question 4

Solve the problem.
-A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and thetheater collected $272.00 at the end of the day, how many of them were adults?

Accepted Answer

A) 24 adults 
B) 10 adults 
C) 16 adults 
D) 29 adults 
A) 24 adults 
B) 10 adults 
C) 16 adults 
D) 29 adults

Question 5

Solve the system of equations by substitution.
-

Accepted Answer

A) x = -3, y = 4; (-3, 4) 
B) x = 4, y = -3; (4, -3) 
C) x = -3, y = -4; (-3, -4) 
D) x = -4, y = 0; (-3, 0) 
A) x = -3, y = 4; (-3, 4) 
B) x = 4, y = -3; (4, -3) 
C) x = -3, y = -4; (-3, -4) 
D) x = -4, y = 0; (-3, 0)

Question 6

Solve the system of equations by substitution.
-

Accepted Answer

A) x = 3, y = 8; (3, 8) 
B) x = 3, y = 9; (3, 9) 
C) x = 2, y = 8; (2, 8) 
D) x = 2, y = 9; (2, 9) 
A) x = 3, y = 8; (3, 8) 
B) x = 3, y = 9; (3, 9) 
C) x = 2, y = 8; (2, 8) 
D) x = 2, y = 9; (2, 9)

Question 7

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

Accepted Answer

A)    where x is any real number or   where x is any real number} 
B) x = 0, y = 0; (0, 0) 
C) x = 6, y = 0; (6, 0) 
D) inconsistent 
A)    where x is any real number or   where x is any real number} 
B) x = 0, y = 0; (0, 0) 
C) x = 6, y = 0; (6, 0) 
D) inconsistent

Question 8

Verify that the values of the variables listed are solutions of the system of equations.
-  x = 0, y = 2, z = 5

Accepted Answer

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

Question 9

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-Find real numbers a, b, and c such that the graph of the function   contains the points (1, 2),(2, 11), and (-3, -14).

Accepted Answer

a = 1, b =

Question 10

Set up the linear programming problem.
-A steel company produces two types of machine dies, part A and part B and is bound by the followingconstraints:∙ Part A requires 1 hour of casting time and 10 hours of firing time.∙ Part B requires 4 hours of casting time and 3 hours of firing time.∙ The maximum number of hours per week available for casting and firing are 100 and 70, respectively.∙ The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00.Let x = the number of part A produced in a week and y = the number of part B produced in a week. Writea system of three inequalities that describes these constraints.

Accepted Answer

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

Question 11

Graph the inequality.
-

Accepted Answer

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

Question 12

Write the word or phrase that best completes each statement or answers the question.
-Ericʹs Carpentry manufactures two types of bookshelves that are 4 feet tall and 3 feet wide, a basic modeland a deluxe model. Each basic bookshelf requires 1.5 hours for assembly and 1 hour for finishing; eachdeluxe model requires 2.5 hours for assembly and 1 hour for finishing. Two assemblers and one finisher areemployed by the company, and each works 40 hours per week.(a)Using x to denote the number of basic bookcases and y to denote the number of deluxe bookcases, writesystem of linear inequalities that describes the possible number of each model of bookcase that can bemanufactured in a week.(b)Graph the system and label the corner points.

Accepted Answer

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

Question 13

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is
inconsistent.
-

Accepted Answer

A) inconsistent 
B) x =6, y =-1; (6, -1) 
C) x =-9, y =-1; (-9, -1) 
D) x =6, y =6; (6, 6) 
A) inconsistent 
B) x =6, y =-1; (6, -1) 
C) x =-9, y =-1; (-9, -1) 
D) x =6, y =6; (6, 6)

Question 14

Write the word or phrase that best completes each statement or answers the question.
-The area of a garden is 960 square feet, and the length of its diagonal is 52 feet. Find the dimensions of thegarden.

Accepted Answer

A) 20 ft by 48 ft 
B) 5 ft by 192 ft 
C) 80 ft by 12 ft 
D) 60 ft by 16 ft 
A) 20 ft by 48 ft 
B) 5 ft by 192 ft 
C) 80 ft by 12 ft 
D) 60 ft by 16 ft

Question 15

Write the word or phrase that best completes each statement or answers the question.
-An airline with two types of airplanes,   and   has contracted with a tour group to providetransportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers. For acertain trip, airplane   costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and110 economy class passengers. Airplane   costs $8500 to operate and can accommodate 18 first class, 30tourist class, and 44 economy class passengers. How many of each type of airplane should be used inorder to minimize the operating cost?

Accepted Answer

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

Question 16

Graph the system of inequalities.
-

Accepted Answer

A)    
B)    no solution 
C)    
D)    
A)    
B)    no solution 
C)    
D)

Question 17

Solve the system of equations by elimination.
-

Accepted Answer

A) x = 0, y = 1; (0, 1) 
B) x = 1, y = 0; (1, 0) 
C) x = 1, y = 1; (1, 1) 
D) x = 0, y = 0; (0, 0) 
A) x = 0, y = 1; (0, 1) 
B) x = 1, y = 0; (1, 0) 
C) x = 1, y = 1; (1, 1) 
D) x = 0, y = 0; (0, 0)

Question 18

Graph the inequality.
-

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Write the partial fraction decomposition of the rational expression.
-

Accepted Answer

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

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

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

Solve the system of equations by substitution. -

Solve the problem. -A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and thetheater collected $272.00 at the end of the day, how many of them were adults?

Solve the system of equations by substitution. -

Solve the system of equations by substitution. -

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

Verify that the values of the variables listed are solutions of the system of equations. - x = 0, y = 2, z = 5

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -Find real numbers a, b, and c such that the graph of the function contains the points (1, 2),(2, 11), and (-3, -14).

Graph the inequality. -

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -

Write the word or phrase that best completes each statement or answers the question. -The area of a garden is 960 square feet, and the length of its diagonal is 52 feet. Find the dimensions of thegarden.

Graph the system of inequalities. -

Solve the system of equations by elimination. -

Graph the inequality. -

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

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

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

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

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

Solve the system of equations by substitution. -

Solve the problem. -A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and thetheater collected $272.00 at the end of the day, how many of them were adults?

Solve the system of equations by substitution. -

Solve the system of equations by substitution. -

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

Verify that the values of the variables listed are solutions of the system of equations. - x = 0, y = 2, z = 5

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -Find real numbers a, b, and c such that the graph of the function contains the points (1, 2),(2, 11), and (-3, -14).

Graph the inequality. -

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -

Write the word or phrase that best completes each statement or answers the question. -The area of a garden is 960 square feet, and the length of its diagonal is 52 feet. Find the dimensions of thegarden.

Graph the system of inequalities. -

Solve the system of equations by elimination. -

Graph the inequality. -

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

Write the partial fraction decomposition of the rational expression. -

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