Scroll:Algebra >> subtract >> ps (4185)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Solve the following.

subtract 9ab + 18bc - 2ac from 19ab - 13bc + 4ca


___ca


Answer:_______________




2)  

 Solve the following.

subtract 2ab + 11bc - 16ac from 13ab - 5bc + 16ca


___ca


Answer:_______________




3)  

 Solve the following.

subtract 8ab + 9bc - 5ac from 12ab - 16bc + 14ca


___ca


Answer:_______________




4)  

 Solve the following.

subtract 4ab + 5bc - 17ac from 14ab - 20bc + 17ca


___ca


Answer:_______________




5)  

 Solve the following.

subtract 5ab + 10bc - 9ac from 14ab - 15bc + 16ca


___ca


Answer:_______________




6)  

 Solve the following.

subtract 6ab + 19bc - 14ac from 15ab - 16bc + 4ca


___ca


Answer:_______________




7)  

 Solve the following.

subtract 3ab + 11bc - 14ac from 14ab - 4bc + 4ca


___ca


Answer:_______________




8)  

 Solve the following.

subtract 3ab + 20bc - 17ac from 14ab - 5bc + 8ca


___ca


Answer:_______________




9)  

 Solve the following.

subtract 9ab + 4bc - 5ac from 14ab - 4bc + 3ca


___ca


Answer:_______________




10)  

 Solve the following.

subtract 4ab + 5bc - 15ac from 19ab - 15bc + 6ca


___ca


Answer:_______________




 

1)  

 Solve the following.

subtract 9ab + 18bc - 2ac from 19ab - 13bc + 4ca


Answer: 10ab 

Answer: -31bc

Answer: 6ca


SOLUTION 1 :

 (19ab - 13bc + 4ca) - (9ab + 18bc - 2ca)

= 19ab - 13bc + 4ca - 9ab - 18bc + 2ca
= (19ab - 9ab) + (-13bc - 18bc) + (4ca + 2ca)
= (19 - 9)ab + (-13 - 18)bc + (4 + 2)ca
= 10ab  -31bc + 6ca


2)  

 Solve the following.

subtract 2ab + 11bc - 16ac from 13ab - 5bc + 16ca


Answer: 11ab 

Answer: -16bc

Answer: 32ca


SOLUTION 1 :

 (13ab - 5bc + 16ca) - (2ab + 11bc - 16ca)

= 13ab - 5bc + 16ca - 2ab - 11bc + 16ca
= (13ab - 2ab) + (-5bc - 11bc) + (16ca + 16ca)
= (13 - 2)ab + (-5 - 11)bc + (16 + 16)ca
= 11ab  -16bc + 32ca


3)  

 Solve the following.

subtract 8ab + 9bc - 5ac from 12ab - 16bc + 14ca


Answer: 4ab 

Answer: -25bc

Answer: 19ca


SOLUTION 1 :

 (12ab - 16bc + 14ca) - (8ab + 9bc - 5ca)

= 12ab - 16bc + 14ca - 8ab - 9bc + 5ca
= (12ab - 8ab) + (-16bc - 9bc) + (14ca + 5ca)
= (12 - 8)ab + (-16 - 9)bc + (14 + 5)ca
= 4ab  -25bc + 19ca


4)  

 Solve the following.

subtract 4ab + 5bc - 17ac from 14ab - 20bc + 17ca


Answer: 10ab 

Answer: -25bc

Answer: 34ca


SOLUTION 1 :

 (14ab - 20bc + 17ca) - (4ab + 5bc - 17ca)

= 14ab - 20bc + 17ca - 4ab - 5bc + 17ca
= (14ab - 4ab) + (-20bc - 5bc) + (17ca + 17ca)
= (14 - 4)ab + (-20 - 5)bc + (17 + 17)ca
= 10ab  -25bc + 34ca


5)  

 Solve the following.

subtract 5ab + 10bc - 9ac from 14ab - 15bc + 16ca


Answer: 9ab 

Answer: -25bc

Answer: 25ca


SOLUTION 1 :

 (14ab - 15bc + 16ca) - (5ab + 10bc - 9ca)

= 14ab - 15bc + 16ca - 5ab - 10bc + 9ca
= (14ab - 5ab) + (-15bc - 10bc) + (16ca + 9ca)
= (14 - 5)ab + (-15 - 10)bc + (16 + 9)ca
= 9ab  -25bc + 25ca


6)  

 Solve the following.

subtract 6ab + 19bc - 14ac from 15ab - 16bc + 4ca


Answer: 9ab 

Answer: -35bc

Answer: 18ca


SOLUTION 1 :

 (15ab - 16bc + 4ca) - (6ab + 19bc - 14ca)

= 15ab - 16bc + 4ca - 6ab - 19bc + 14ca
= (15ab - 6ab) + (-16bc - 19bc) + (4ca + 14ca)
= (15 - 6)ab + (-16 - 19)bc + (4 + 14)ca
= 9ab  -35bc + 18ca


7)  

 Solve the following.

subtract 3ab + 11bc - 14ac from 14ab - 4bc + 4ca


Answer: 11ab 

Answer: -15bc

Answer: 18ca


SOLUTION 1 :

 (14ab - 4bc + 4ca) - (3ab + 11bc - 14ca)

= 14ab - 4bc + 4ca - 3ab - 11bc + 14ca
= (14ab - 3ab) + (-4bc - 11bc) + (4ca + 14ca)
= (14 - 3)ab + (-4 - 11)bc + (4 + 14)ca
= 11ab  -15bc + 18ca


8)  

 Solve the following.

subtract 3ab + 20bc - 17ac from 14ab - 5bc + 8ca


Answer: 11ab 

Answer: -25bc

Answer: 25ca


SOLUTION 1 :

 (14ab - 5bc + 8ca) - (3ab + 20bc - 17ca)

= 14ab - 5bc + 8ca - 3ab - 20bc + 17ca
= (14ab - 3ab) + (-5bc - 20bc) + (8ca + 17ca)
= (14 - 3)ab + (-5 - 20)bc + (8 + 17)ca
= 11ab  -25bc + 25ca


9)  

 Solve the following.

subtract 9ab + 4bc - 5ac from 14ab - 4bc + 3ca


Answer: 5ab 

Answer: -8bc

Answer: 8ca


SOLUTION 1 :

 (14ab - 4bc + 3ca) - (9ab + 4bc - 5ca)

= 14ab - 4bc + 3ca - 9ab - 4bc + 5ca
= (14ab - 9ab) + (-4bc - 4bc) + (3ca + 5ca)
= (14 - 9)ab + (-4 - 4)bc + (3 + 5)ca
= 5ab  -8bc + 8ca


10)  

 Solve the following.

subtract 4ab + 5bc - 15ac from 19ab - 15bc + 6ca


Answer: 15ab 

Answer: -20bc

Answer: 21ca


SOLUTION 1 :

 (19ab - 15bc + 6ca) - (4ab + 5bc - 15ca)

= 19ab - 15bc + 6ca - 4ab - 5bc + 15ca
= (19ab - 4ab) + (-15bc - 5bc) + (6ca + 15ca)
= (19 - 4)ab + (-15 - 5)bc + (6 + 15)ca
= 15ab  -20bc + 21ca