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 + 7bc - 19ac from 12ab - 11bc + 5ca


___ca


Answer:_______________




2)  

 Solve the following.

subtract 10ab + 4bc - 14ac from 16ab - 17bc + 6ca


___ca


Answer:_______________




3)  

 Solve the following.

subtract 7ab + 11bc - 9ac from 16ab - 14bc + 15ca


___ca


Answer:_______________




4)  

 Solve the following.

subtract 9ab + 16bc - 2ac from 13ab - 12bc + 17ca


___ca


Answer:_______________




5)  

 Solve the following.

subtract 8ab + 19bc - 11ac from 20ab - 11bc + 14ca


___ca


Answer:_______________




6)  

 Solve the following.

subtract 6ab + 17bc - 16ac from 22ab - 17bc + 7ca


___ca


Answer:_______________




7)  

 Solve the following.

subtract 7ab + 10bc - 11ac from 22ab - 16bc + 10ca


___ca


Answer:_______________




8)  

 Solve the following.

subtract 5ab + 14bc - 14ac from 15ab - 5bc + 7ca


___ca


Answer:_______________




9)  

 Solve the following.

subtract 3ab + 13bc - 20ac from 18ab - 13bc + 4ca


___ca


Answer:_______________




10)  

 Solve the following.

subtract 9ab + 9bc - 11ac from 18ab - 17bc + 20ca


___ca


Answer:_______________




 

1)  

 Solve the following.

subtract 5ab + 7bc - 19ac from 12ab - 11bc + 5ca


Answer: 7ab 

Answer: -18bc

Answer: 24ca


SOLUTION 1 :

 (12ab - 11bc + 5ca) - (5ab + 7bc - 19ca)

= 12ab - 11bc + 5ca - 5ab - 7bc + 19ca
= (12ab - 5ab) + (-11bc - 7bc) + (5ca + 19ca)
= (12 - 5)ab + (-11 - 7)bc + (5 + 19)ca
= 7ab  -18bc + 24ca


2)  

 Solve the following.

subtract 10ab + 4bc - 14ac from 16ab - 17bc + 6ca


Answer: 6ab 

Answer: -21bc

Answer: 20ca


SOLUTION 1 :

 (16ab - 17bc + 6ca) - (10ab + 4bc - 14ca)

= 16ab - 17bc + 6ca - 10ab - 4bc + 14ca
= (16ab - 10ab) + (-17bc - 4bc) + (6ca + 14ca)
= (16 - 10)ab + (-17 - 4)bc + (6 + 14)ca
= 6ab  -21bc + 20ca


3)  

 Solve the following.

subtract 7ab + 11bc - 9ac from 16ab - 14bc + 15ca


Answer: 9ab 

Answer: -25bc

Answer: 24ca


SOLUTION 1 :

 (16ab - 14bc + 15ca) - (7ab + 11bc - 9ca)

= 16ab - 14bc + 15ca - 7ab - 11bc + 9ca
= (16ab - 7ab) + (-14bc - 11bc) + (15ca + 9ca)
= (16 - 7)ab + (-14 - 11)bc + (15 + 9)ca
= 9ab  -25bc + 24ca


4)  

 Solve the following.

subtract 9ab + 16bc - 2ac from 13ab - 12bc + 17ca


Answer: 4ab 

Answer: -28bc

Answer: 19ca


SOLUTION 1 :

 (13ab - 12bc + 17ca) - (9ab + 16bc - 2ca)

= 13ab - 12bc + 17ca - 9ab - 16bc + 2ca
= (13ab - 9ab) + (-12bc - 16bc) + (17ca + 2ca)
= (13 - 9)ab + (-12 - 16)bc + (17 + 2)ca
= 4ab  -28bc + 19ca


5)  

 Solve the following.

subtract 8ab + 19bc - 11ac from 20ab - 11bc + 14ca


Answer: 12ab 

Answer: -30bc

Answer: 25ca


SOLUTION 1 :

 (20ab - 11bc + 14ca) - (8ab + 19bc - 11ca)

= 20ab - 11bc + 14ca - 8ab - 19bc + 11ca
= (20ab - 8ab) + (-11bc - 19bc) + (14ca + 11ca)
= (20 - 8)ab + (-11 - 19)bc + (14 + 11)ca
= 12ab  -30bc + 25ca


6)  

 Solve the following.

subtract 6ab + 17bc - 16ac from 22ab - 17bc + 7ca


Answer: 16ab 

Answer: -34bc

Answer: 23ca


SOLUTION 1 :

 (22ab - 17bc + 7ca) - (6ab + 17bc - 16ca)

= 22ab - 17bc + 7ca - 6ab - 17bc + 16ca
= (22ab - 6ab) + (-17bc - 17bc) + (7ca + 16ca)
= (22 - 6)ab + (-17 - 17)bc + (7 + 16)ca
= 16ab  -34bc + 23ca


7)  

 Solve the following.

subtract 7ab + 10bc - 11ac from 22ab - 16bc + 10ca


Answer: 15ab 

Answer: -26bc

Answer: 21ca


SOLUTION 1 :

 (22ab - 16bc + 10ca) - (7ab + 10bc - 11ca)

= 22ab - 16bc + 10ca - 7ab - 10bc + 11ca
= (22ab - 7ab) + (-16bc - 10bc) + (10ca + 11ca)
= (22 - 7)ab + (-16 - 10)bc + (10 + 11)ca
= 15ab  -26bc + 21ca


8)  

 Solve the following.

subtract 5ab + 14bc - 14ac from 15ab - 5bc + 7ca


Answer: 10ab 

Answer: -19bc

Answer: 21ca


SOLUTION 1 :

 (15ab - 5bc + 7ca) - (5ab + 14bc - 14ca)

= 15ab - 5bc + 7ca - 5ab - 14bc + 14ca
= (15ab - 5ab) + (-5bc - 14bc) + (7ca + 14ca)
= (15 - 5)ab + (-5 - 14)bc + (7 + 14)ca
= 10ab  -19bc + 21ca


9)  

 Solve the following.

subtract 3ab + 13bc - 20ac from 18ab - 13bc + 4ca


Answer: 15ab 

Answer: -26bc

Answer: 24ca


SOLUTION 1 :

 (18ab - 13bc + 4ca) - (3ab + 13bc - 20ca)

= 18ab - 13bc + 4ca - 3ab - 13bc + 20ca
= (18ab - 3ab) + (-13bc - 13bc) + (4ca + 20ca)
= (18 - 3)ab + (-13 - 13)bc + (4 + 20)ca
= 15ab  -26bc + 24ca


10)  

 Solve the following.

subtract 9ab + 9bc - 11ac from 18ab - 17bc + 20ca


Answer: 9ab 

Answer: -26bc

Answer: 31ca


SOLUTION 1 :

 (18ab - 17bc + 20ca) - (9ab + 9bc - 11ca)

= 18ab - 17bc + 20ca - 9ab - 9bc + 11ca
= (18ab - 9ab) + (-17bc - 9bc) + (20ca + 11ca)
= (18 - 9)ab + (-17 - 9)bc + (20 + 11)ca
= 9ab  -26bc + 31ca