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 5ab + 10bc - 20ac from 15ab - 10bc + 8ca


___ca


Answer:_______________




2)  

 Solve the following.

subtract 9ab + 7bc - 16ac from 12ab - 11bc + 14ca


___ca


Answer:_______________




3)  

 Solve the following.

subtract 4ab + 6bc - 13ac from 21ab - 14bc + 18ca


___ca


Answer:_______________




4)  

 Solve the following.

subtract 9ab + 7bc - 11ac from 12ab - 2bc + 19ca


___ca


Answer:_______________




5)  

 Solve the following.

subtract 6ab + 19bc - 18ac from 18ab - 2bc + 11ca


___ca


Answer:_______________




6)  

 Solve the following.

subtract 2ab + 18bc - 14ac from 15ab - 7bc + 15ca


___ca


Answer:_______________




7)  

 Solve the following.

subtract 9ab + 3bc - 11ac from 21ab - 11bc + 20ca


___ca


Answer:_______________




8)  

 Solve the following.

subtract 6ab + 3bc - 16ac from 17ab - 6bc + 12ca


___ca


Answer:_______________




9)  

 Solve the following.

subtract 5ab + 10bc - 2ac from 18ab - 16bc + 11ca


___ca


Answer:_______________




10)  

 Solve the following.

subtract 3ab + 13bc - 11ac from 13ab - 16bc + 3ca


___ca


Answer:_______________




 

1)  

 Solve the following.

subtract 5ab + 10bc - 20ac from 15ab - 10bc + 8ca


Answer: 10ab 

Answer: -20bc

Answer: 28ca


SOLUTION 1 :

 (15ab - 10bc + 8ca) - (5ab + 10bc - 20ca)

= 15ab - 10bc + 8ca - 5ab - 10bc + 20ca
= (15ab - 5ab) + (-10bc - 10bc) + (8ca + 20ca)
= (15 - 5)ab + (-10 - 10)bc + (8 + 20)ca
= 10ab  -20bc + 28ca


2)  

 Solve the following.

subtract 9ab + 7bc - 16ac from 12ab - 11bc + 14ca


Answer: 3ab 

Answer: -18bc

Answer: 30ca


SOLUTION 1 :

 (12ab - 11bc + 14ca) - (9ab + 7bc - 16ca)

= 12ab - 11bc + 14ca - 9ab - 7bc + 16ca
= (12ab - 9ab) + (-11bc - 7bc) + (14ca + 16ca)
= (12 - 9)ab + (-11 - 7)bc + (14 + 16)ca
= 3ab  -18bc + 30ca


3)  

 Solve the following.

subtract 4ab + 6bc - 13ac from 21ab - 14bc + 18ca


Answer: 17ab 

Answer: -20bc

Answer: 31ca


SOLUTION 1 :

 (21ab - 14bc + 18ca) - (4ab + 6bc - 13ca)

= 21ab - 14bc + 18ca - 4ab - 6bc + 13ca
= (21ab - 4ab) + (-14bc - 6bc) + (18ca + 13ca)
= (21 - 4)ab + (-14 - 6)bc + (18 + 13)ca
= 17ab  -20bc + 31ca


4)  

 Solve the following.

subtract 9ab + 7bc - 11ac from 12ab - 2bc + 19ca


Answer: 3ab 

Answer: -9bc

Answer: 30ca


SOLUTION 1 :

 (12ab - 2bc + 19ca) - (9ab + 7bc - 11ca)

= 12ab - 2bc + 19ca - 9ab - 7bc + 11ca
= (12ab - 9ab) + (-2bc - 7bc) + (19ca + 11ca)
= (12 - 9)ab + (-2 - 7)bc + (19 + 11)ca
= 3ab  -9bc + 30ca


5)  

 Solve the following.

subtract 6ab + 19bc - 18ac from 18ab - 2bc + 11ca


Answer: 12ab 

Answer: -21bc

Answer: 29ca


SOLUTION 1 :

 (18ab - 2bc + 11ca) - (6ab + 19bc - 18ca)

= 18ab - 2bc + 11ca - 6ab - 19bc + 18ca
= (18ab - 6ab) + (-2bc - 19bc) + (11ca + 18ca)
= (18 - 6)ab + (-2 - 19)bc + (11 + 18)ca
= 12ab  -21bc + 29ca


6)  

 Solve the following.

subtract 2ab + 18bc - 14ac from 15ab - 7bc + 15ca


Answer: 13ab 

Answer: -25bc

Answer: 29ca


SOLUTION 1 :

 (15ab - 7bc + 15ca) - (2ab + 18bc - 14ca)

= 15ab - 7bc + 15ca - 2ab - 18bc + 14ca
= (15ab - 2ab) + (-7bc - 18bc) + (15ca + 14ca)
= (15 - 2)ab + (-7 - 18)bc + (15 + 14)ca
= 13ab  -25bc + 29ca


7)  

 Solve the following.

subtract 9ab + 3bc - 11ac from 21ab - 11bc + 20ca


Answer: 12ab 

Answer: -14bc

Answer: 31ca


SOLUTION 1 :

 (21ab - 11bc + 20ca) - (9ab + 3bc - 11ca)

= 21ab - 11bc + 20ca - 9ab - 3bc + 11ca
= (21ab - 9ab) + (-11bc - 3bc) + (20ca + 11ca)
= (21 - 9)ab + (-11 - 3)bc + (20 + 11)ca
= 12ab  -14bc + 31ca


8)  

 Solve the following.

subtract 6ab + 3bc - 16ac from 17ab - 6bc + 12ca


Answer: 11ab 

Answer: -9bc

Answer: 28ca


SOLUTION 1 :

 (17ab - 6bc + 12ca) - (6ab + 3bc - 16ca)

= 17ab - 6bc + 12ca - 6ab - 3bc + 16ca
= (17ab - 6ab) + (-6bc - 3bc) + (12ca + 16ca)
= (17 - 6)ab + (-6 - 3)bc + (12 + 16)ca
= 11ab  -9bc + 28ca


9)  

 Solve the following.

subtract 5ab + 10bc - 2ac from 18ab - 16bc + 11ca


Answer: 13ab 

Answer: -26bc

Answer: 13ca


SOLUTION 1 :

 (18ab - 16bc + 11ca) - (5ab + 10bc - 2ca)

= 18ab - 16bc + 11ca - 5ab - 10bc + 2ca
= (18ab - 5ab) + (-16bc - 10bc) + (11ca + 2ca)
= (18 - 5)ab + (-16 - 10)bc + (11 + 2)ca
= 13ab  -26bc + 13ca


10)  

 Solve the following.

subtract 3ab + 13bc - 11ac from 13ab - 16bc + 3ca


Answer: 10ab 

Answer: -29bc

Answer: 14ca


SOLUTION 1 :

 (13ab - 16bc + 3ca) - (3ab + 13bc - 11ca)

= 13ab - 16bc + 3ca - 3ab - 13bc + 11ca
= (13ab - 3ab) + (-16bc - 13bc) + (3ca + 11ca)
= (13 - 3)ab + (-16 - 13)bc + (3 + 11)ca
= 10ab  -29bc + 14ca