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 7ab + 4bc - 17ac from 18ab - 13bc + 16ca


___ca


Answer:_______________




2)  

 Solve the following.

subtract 8ab + 19bc - 20ac from 16ab - 17bc + 17ca


___ca


Answer:_______________




3)  

 Solve the following.

subtract 6ab + 7bc - 10ac from 16ab - 20bc + 2ca


___ca


Answer:_______________




4)  

 Solve the following.

subtract 8ab + 10bc - 11ac from 12ab - 16bc + 4ca


___ca


Answer:_______________




5)  

 Solve the following.

subtract 8ab + 20bc - 2ac from 21ab - 3bc + 5ca


___ca


Answer:_______________




6)  

 Solve the following.

subtract 6ab + 20bc - 9ac from 17ab - 16bc + 8ca


___ca


Answer:_______________




7)  

 Solve the following.

subtract 4ab + 11bc - 15ac from 20ab - 14bc + 9ca


___ca


Answer:_______________




8)  

 Solve the following.

subtract 4ab + 15bc - 14ac from 20ab - 13bc + 16ca


___ca


Answer:_______________




9)  

 Solve the following.

subtract 8ab + 10bc - 3ac from 18ab - 14bc + 7ca


___ca


Answer:_______________




10)  

 Solve the following.

subtract 9ab + 5bc - 12ac from 19ab - 13bc + 5ca


___ca


Answer:_______________




 

1)  

 Solve the following.

subtract 7ab + 4bc - 17ac from 18ab - 13bc + 16ca


Answer: 11ab 

Answer: -17bc

Answer: 33ca


SOLUTION 1 :

 (18ab - 13bc + 16ca) - (7ab + 4bc - 17ca)

= 18ab - 13bc + 16ca - 7ab - 4bc + 17ca
= (18ab - 7ab) + (-13bc - 4bc) + (16ca + 17ca)
= (18 - 7)ab + (-13 - 4)bc + (16 + 17)ca
= 11ab  -17bc + 33ca


2)  

 Solve the following.

subtract 8ab + 19bc - 20ac from 16ab - 17bc + 17ca


Answer: 8ab 

Answer: -36bc

Answer: 37ca


SOLUTION 1 :

 (16ab - 17bc + 17ca) - (8ab + 19bc - 20ca)

= 16ab - 17bc + 17ca - 8ab - 19bc + 20ca
= (16ab - 8ab) + (-17bc - 19bc) + (17ca + 20ca)
= (16 - 8)ab + (-17 - 19)bc + (17 + 20)ca
= 8ab  -36bc + 37ca


3)  

 Solve the following.

subtract 6ab + 7bc - 10ac from 16ab - 20bc + 2ca


Answer: 10ab 

Answer: -27bc

Answer: 12ca


SOLUTION 1 :

 (16ab - 20bc + 2ca) - (6ab + 7bc - 10ca)

= 16ab - 20bc + 2ca - 6ab - 7bc + 10ca
= (16ab - 6ab) + (-20bc - 7bc) + (2ca + 10ca)
= (16 - 6)ab + (-20 - 7)bc + (2 + 10)ca
= 10ab  -27bc + 12ca


4)  

 Solve the following.

subtract 8ab + 10bc - 11ac from 12ab - 16bc + 4ca


Answer: 4ab 

Answer: -26bc

Answer: 15ca


SOLUTION 1 :

 (12ab - 16bc + 4ca) - (8ab + 10bc - 11ca)

= 12ab - 16bc + 4ca - 8ab - 10bc + 11ca
= (12ab - 8ab) + (-16bc - 10bc) + (4ca + 11ca)
= (12 - 8)ab + (-16 - 10)bc + (4 + 11)ca
= 4ab  -26bc + 15ca


5)  

 Solve the following.

subtract 8ab + 20bc - 2ac from 21ab - 3bc + 5ca


Answer: 13ab 

Answer: -23bc

Answer: 7ca


SOLUTION 1 :

 (21ab - 3bc + 5ca) - (8ab + 20bc - 2ca)

= 21ab - 3bc + 5ca - 8ab - 20bc + 2ca
= (21ab - 8ab) + (-3bc - 20bc) + (5ca + 2ca)
= (21 - 8)ab + (-3 - 20)bc + (5 + 2)ca
= 13ab  -23bc + 7ca


6)  

 Solve the following.

subtract 6ab + 20bc - 9ac from 17ab - 16bc + 8ca


Answer: 11ab 

Answer: -36bc

Answer: 17ca


SOLUTION 1 :

 (17ab - 16bc + 8ca) - (6ab + 20bc - 9ca)

= 17ab - 16bc + 8ca - 6ab - 20bc + 9ca
= (17ab - 6ab) + (-16bc - 20bc) + (8ca + 9ca)
= (17 - 6)ab + (-16 - 20)bc + (8 + 9)ca
= 11ab  -36bc + 17ca


7)  

 Solve the following.

subtract 4ab + 11bc - 15ac from 20ab - 14bc + 9ca


Answer: 16ab 

Answer: -25bc

Answer: 24ca


SOLUTION 1 :

 (20ab - 14bc + 9ca) - (4ab + 11bc - 15ca)

= 20ab - 14bc + 9ca - 4ab - 11bc + 15ca
= (20ab - 4ab) + (-14bc - 11bc) + (9ca + 15ca)
= (20 - 4)ab + (-14 - 11)bc + (9 + 15)ca
= 16ab  -25bc + 24ca


8)  

 Solve the following.

subtract 4ab + 15bc - 14ac from 20ab - 13bc + 16ca


Answer: 16ab 

Answer: -28bc

Answer: 30ca


SOLUTION 1 :

 (20ab - 13bc + 16ca) - (4ab + 15bc - 14ca)

= 20ab - 13bc + 16ca - 4ab - 15bc + 14ca
= (20ab - 4ab) + (-13bc - 15bc) + (16ca + 14ca)
= (20 - 4)ab + (-13 - 15)bc + (16 + 14)ca
= 16ab  -28bc + 30ca


9)  

 Solve the following.

subtract 8ab + 10bc - 3ac from 18ab - 14bc + 7ca


Answer: 10ab 

Answer: -24bc

Answer: 10ca


SOLUTION 1 :

 (18ab - 14bc + 7ca) - (8ab + 10bc - 3ca)

= 18ab - 14bc + 7ca - 8ab - 10bc + 3ca
= (18ab - 8ab) + (-14bc - 10bc) + (7ca + 3ca)
= (18 - 8)ab + (-14 - 10)bc + (7 + 3)ca
= 10ab  -24bc + 10ca


10)  

 Solve the following.

subtract 9ab + 5bc - 12ac from 19ab - 13bc + 5ca


Answer: 10ab 

Answer: -18bc

Answer: 17ca


SOLUTION 1 :

 (19ab - 13bc + 5ca) - (9ab + 5bc - 12ca)

= 19ab - 13bc + 5ca - 9ab - 5bc + 12ca
= (19ab - 9ab) + (-13bc - 5bc) + (5ca + 12ca)
= (19 - 9)ab + (-13 - 5)bc + (5 + 12)ca
= 10ab  -18bc + 17ca