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 6ab + 11bc - 7ac from 15ab - 2bc + 19ca


___ca


Answer:_______________




2)  

 Solve the following.

subtract 3ab + 10bc - 15ac from 20ab - 7bc + 2ca


___ca


Answer:_______________




3)  

 Solve the following.

subtract 9ab + 9bc - 15ac from 20ab - 2bc + 15ca


___ca


Answer:_______________




4)  

 Solve the following.

subtract 10ab + 16bc - 11ac from 22ab - 5bc + 10ca


___ca


Answer:_______________




5)  

 Solve the following.

subtract 10ab + 9bc - 4ac from 19ab - 2bc + 15ca


___ca


Answer:_______________




6)  

 Solve the following.

subtract 8ab + 20bc - 13ac from 17ab - 20bc + 4ca


___ca


Answer:_______________




7)  

 Solve the following.

subtract 3ab + 3bc - 7ac from 22ab - 18bc + 14ca


___ca


Answer:_______________




8)  

 Solve the following.

subtract 3ab + 4bc - 2ac from 15ab - 14bc + 3ca


___ca


Answer:_______________




9)  

 Solve the following.

subtract 7ab + 3bc - 13ac from 21ab - 19bc + 10ca


___ca


Answer:_______________




10)  

 Solve the following.

subtract 2ab + 14bc - 2ac from 13ab - 11bc + 17ca


___ca


Answer:_______________




 

1)  

 Solve the following.

subtract 6ab + 11bc - 7ac from 15ab - 2bc + 19ca


Answer: 9ab 

Answer: -13bc

Answer: 26ca


SOLUTION 1 :

 (15ab - 2bc + 19ca) - (6ab + 11bc - 7ca)

= 15ab - 2bc + 19ca - 6ab - 11bc + 7ca
= (15ab - 6ab) + (-2bc - 11bc) + (19ca + 7ca)
= (15 - 6)ab + (-2 - 11)bc + (19 + 7)ca
= 9ab  -13bc + 26ca


2)  

 Solve the following.

subtract 3ab + 10bc - 15ac from 20ab - 7bc + 2ca


Answer: 17ab 

Answer: -17bc

Answer: 17ca


SOLUTION 1 :

 (20ab - 7bc + 2ca) - (3ab + 10bc - 15ca)

= 20ab - 7bc + 2ca - 3ab - 10bc + 15ca
= (20ab - 3ab) + (-7bc - 10bc) + (2ca + 15ca)
= (20 - 3)ab + (-7 - 10)bc + (2 + 15)ca
= 17ab  -17bc + 17ca


3)  

 Solve the following.

subtract 9ab + 9bc - 15ac from 20ab - 2bc + 15ca


Answer: 11ab 

Answer: -11bc

Answer: 30ca


SOLUTION 1 :

 (20ab - 2bc + 15ca) - (9ab + 9bc - 15ca)

= 20ab - 2bc + 15ca - 9ab - 9bc + 15ca
= (20ab - 9ab) + (-2bc - 9bc) + (15ca + 15ca)
= (20 - 9)ab + (-2 - 9)bc + (15 + 15)ca
= 11ab  -11bc + 30ca


4)  

 Solve the following.

subtract 10ab + 16bc - 11ac from 22ab - 5bc + 10ca


Answer: 12ab 

Answer: -21bc

Answer: 21ca


SOLUTION 1 :

 (22ab - 5bc + 10ca) - (10ab + 16bc - 11ca)

= 22ab - 5bc + 10ca - 10ab - 16bc + 11ca
= (22ab - 10ab) + (-5bc - 16bc) + (10ca + 11ca)
= (22 - 10)ab + (-5 - 16)bc + (10 + 11)ca
= 12ab  -21bc + 21ca


5)  

 Solve the following.

subtract 10ab + 9bc - 4ac from 19ab - 2bc + 15ca


Answer: 9ab 

Answer: -11bc

Answer: 19ca


SOLUTION 1 :

 (19ab - 2bc + 15ca) - (10ab + 9bc - 4ca)

= 19ab - 2bc + 15ca - 10ab - 9bc + 4ca
= (19ab - 10ab) + (-2bc - 9bc) + (15ca + 4ca)
= (19 - 10)ab + (-2 - 9)bc + (15 + 4)ca
= 9ab  -11bc + 19ca


6)  

 Solve the following.

subtract 8ab + 20bc - 13ac from 17ab - 20bc + 4ca


Answer: 9ab 

Answer: -40bc

Answer: 17ca


SOLUTION 1 :

 (17ab - 20bc + 4ca) - (8ab + 20bc - 13ca)

= 17ab - 20bc + 4ca - 8ab - 20bc + 13ca
= (17ab - 8ab) + (-20bc - 20bc) + (4ca + 13ca)
= (17 - 8)ab + (-20 - 20)bc + (4 + 13)ca
= 9ab  -40bc + 17ca


7)  

 Solve the following.

subtract 3ab + 3bc - 7ac from 22ab - 18bc + 14ca


Answer: 19ab 

Answer: -21bc

Answer: 21ca


SOLUTION 1 :

 (22ab - 18bc + 14ca) - (3ab + 3bc - 7ca)

= 22ab - 18bc + 14ca - 3ab - 3bc + 7ca
= (22ab - 3ab) + (-18bc - 3bc) + (14ca + 7ca)
= (22 - 3)ab + (-18 - 3)bc + (14 + 7)ca
= 19ab  -21bc + 21ca


8)  

 Solve the following.

subtract 3ab + 4bc - 2ac from 15ab - 14bc + 3ca


Answer: 12ab 

Answer: -18bc

Answer: 5ca


SOLUTION 1 :

 (15ab - 14bc + 3ca) - (3ab + 4bc - 2ca)

= 15ab - 14bc + 3ca - 3ab - 4bc + 2ca
= (15ab - 3ab) + (-14bc - 4bc) + (3ca + 2ca)
= (15 - 3)ab + (-14 - 4)bc + (3 + 2)ca
= 12ab  -18bc + 5ca


9)  

 Solve the following.

subtract 7ab + 3bc - 13ac from 21ab - 19bc + 10ca


Answer: 14ab 

Answer: -22bc

Answer: 23ca


SOLUTION 1 :

 (21ab - 19bc + 10ca) - (7ab + 3bc - 13ca)

= 21ab - 19bc + 10ca - 7ab - 3bc + 13ca
= (21ab - 7ab) + (-19bc - 3bc) + (10ca + 13ca)
= (21 - 7)ab + (-19 - 3)bc + (10 + 13)ca
= 14ab  -22bc + 23ca


10)  

 Solve the following.

subtract 2ab + 14bc - 2ac from 13ab - 11bc + 17ca


Answer: 11ab 

Answer: -25bc

Answer: 19ca


SOLUTION 1 :

 (13ab - 11bc + 17ca) - (2ab + 14bc - 2ca)

= 13ab - 11bc + 17ca - 2ab - 14bc + 2ca
= (13ab - 2ab) + (-11bc - 14bc) + (17ca + 2ca)
= (13 - 2)ab + (-11 - 14)bc + (17 + 2)ca
= 11ab  -25bc + 19ca