Question 1

Solve the system by the Gauss-Jordan method. ​  ​

Accepted Answer

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

Question 2

A certain item has a linear supply curve  and a linear demand curve  , where p is the price and n is the number of items. What is the equilibrium point (p, n)? ​

Accepted Answer

A)  (1, 100,000) 
B)  (2, 10,000) 
C)  (9,000, 2) 
D)  (10,000, 2) 
E)  (1,000, 4)

Question 3

Solve the system by solving the corresponding matrix equation with an inverse, if possible.
​

Accepted Answer

The answer of Solve the system by solving the corresponding...

Question 4

Solve the system by the substitution method.
​

Accepted Answer

The answer of Solve the system by the substitution method.
​...

Question 5

A certain item has a linear supply curve  and a linear demand curve  , where p is the price and n is the number of items. What is the equilibrium point (p, n)?

Accepted Answer

The answer of A certain item has a linear supply...

Question 6

Solve the system by the addition method.
​

Accepted Answer

The answer of Solve the system by the addition method.
​...

Question 7

A candy maker mixes chocolate, milk, and mint extract to produce three kinds of candy (I, II, and III) with the following proportions. If 78 lb of chocolate, 56 gal of milk, and 28 oz of mint extract are available, how much of each kind of candy can be produced?
​
I : 7 lb chocolate, 5 gal milk, 1 oz mint extract
II : 3 lb chocolate, 2 gal milk, 2 oz mint extract
III : 4 lb chocolate, 3 gal milk, 3 oz mint extract
​
__________units of candy | can be produced
​
__________ units of candy || can be produced
​
__________ units of candy ||| can be produced

Accepted Answer

The answer of A candy maker mixes chocolate, milk, and...

Question 8

Solve the system by graphing. ​  ​  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)  inconsistent

Question 9

A plane with a tail wind makes its 987-mile flight in 3 hours. The return flight against the wind takes a half hour longer. What is the wind speed? ​

Accepted Answer

A)  21.5 mph 
B)  282 mph 
C)  26 mph 
D)  23.5 mph 
E)  305.5 mph

Question 10

Solve the system by the Gauss-Jordan method. ​
​  ​

Accepted Answer

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

Question 11

Solve the system for all real solutions, using any suitable method. ​  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)  inconsistent

Question 12

Solve the system by the Gauss-Jordan method.
​

Accepted Answer

The answer of Solve the system by the Gauss-Jordan method.
​...

Question 13

Find the corner points for the set of feasible solutions for the constraints.
​

Accepted Answer

The answer of Find the corner points for the set...

Question 14

Find the sum [A] + [B], if
​  ​
​

Accepted Answer

The answer of Find the sum [A] + [B], if
​...

Question 15

You have a 48% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 61% silver?
​
__________ oz of silver and __________ oz of alloy

Accepted Answer

The answer of You have a 48% silver alloy and...

Question 16

Solve the system by graphing.
​  ​

Accepted Answer

The answer of Solve the system by graphing.
​  ​...

Question 17

A collection of coins has a value of $4.89. There is the same number of nickels and dimes but seven fewer pennies than nickels or dimes. How many pennies are in the collection if there are 86 coins?
​
__________ pennies

Accepted Answer

The answer of A collection of coins has a value...

Question 18

Solve the system by solving the corresponding matrix equation with an inverse, if possible. ​
​  ​

Accepted Answer

A)  (4, 3) 
B)  (5, 4) 
C)  (3, 3) 
D)  (4, 4) 
E)  (5, 5)

Question 19

Solve the system by the addition method.
​

Accepted Answer

The answer of Solve the system by the addition method.
​...

Question 20

Solve the system for all real solutions, using any suitable method.
​

Accepted Answer

The answer of Solve the system for all real solutions,...

Exam 16: The Nature of Mathematical Systems

Solve the system by the Gauss-Jordan method.

A certain item has a linear supply curve and a linear demand curve , where p is the price and n is the number of items. What is the equilibrium point (p, n) ?

Solve the system by solving the corresponding matrix equation with an inverse, if possible.

Solve the system by the substitution method.

A certain item has a linear supply curve and a linear demand curve , where p is the price and n is the number of items. What is the equilibrium point (p, n)?

Solve the system by the addition method.

Solve the system by graphing.

A plane with a tail wind makes its 987-mile flight in 3 hours. The return flight against the wind takes a half hour longer. What is the wind speed?

Solve the system by the Gauss-Jordan method.

Solve the system for all real solutions, using any suitable method.

Solve the system by the Gauss-Jordan method.

Find the corner points for the set of feasible solutions for the constraints.

Find the sum [A] + [B], if

You have a 48% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 61% silver? oz of silver and oz of alloy

Solve the system by graphing.

A collection of coins has a value of $4.89. There is the same number of nickels and dimes but seven fewer pennies than nickels or dimes. How many pennies are in the collection if there are 86 coins? __________ pennies

Solve the system by solving the corresponding matrix equation with an inverse, if possible.

Solve the system by the addition method.

Solve the system for all real solutions, using any suitable method.

Exam 16: The Nature of Mathematical Systems

Solve the system by the Gauss-Jordan method. ​ ​

A certain item has a linear supply curve and a linear demand curve , where p is the price and n is the number of items. What is the equilibrium point (p, n) ? ​

Solve the system by solving the corresponding matrix equation with an inverse, if possible. ​

Solve the system by the substitution method. ​

A certain item has a linear supply curve and a linear demand curve , where p is the price and n is the number of items. What is the equilibrium point (p, n)?

Solve the system by the addition method. ​

Solve the system by graphing. ​ ​ ​

A plane with a tail wind makes its 987-mile flight in 3 hours. The return flight against the wind takes a half hour longer. What is the wind speed? ​

Solve the system by the Gauss-Jordan method. ​ ​ ​

Solve the system for all real solutions, using any suitable method. ​ ​

Solve the system by the Gauss-Jordan method. ​

Find the corner points for the set of feasible solutions for the constraints. ​

Find the sum [A] + [B], if ​ ​ ​

You have a 48% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 61% silver? ​ __________ oz of silver and __________ oz of alloy

Solve the system by graphing. ​ ​

A collection of coins has a value of $4.89. There is the same number of nickels and dimes but seven fewer pennies than nickels or dimes. How many pennies are in the collection if there are 86 coins? ​ __________ pennies

Solve the system by solving the corresponding matrix equation with an inverse, if possible. ​ ​ ​

Solve the system by the addition method. ​

Solve the system for all real solutions, using any suitable method. ​

Solve the system by the Gauss-Jordan method.

A certain item has a linear supply curve and a linear demand curve , where p is the price and n is the number of items. What is the equilibrium point (p, n) ?

Solve the system by solving the corresponding matrix equation with an inverse, if possible.

Solve the system by the substitution method.

Solve the system by the addition method.

Solve the system by graphing.

A plane with a tail wind makes its 987-mile flight in 3 hours. The return flight against the wind takes a half hour longer. What is the wind speed?

Solve the system by the Gauss-Jordan method.

Solve the system for all real solutions, using any suitable method.

Solve the system by the Gauss-Jordan method.

Find the corner points for the set of feasible solutions for the constraints.

Find the sum [A] + [B], if

You have a 48% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 61% silver? oz of silver and oz of alloy

Solve the system by graphing.

A collection of coins has a value of $4.89. There is the same number of nickels and dimes but seven fewer pennies than nickels or dimes. How many pennies are in the collection if there are 86 coins? __________ pennies

Solve the system by solving the corresponding matrix equation with an inverse, if possible.

Solve the system by the addition method.

Solve the system for all real solutions, using any suitable method.