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 8ab + 12bc - 20ac from 13ab - 19bc + 14ca ___ca Answer:_______________ |
| 2) Solve the following. subtract 6ab + 10bc - 12ac from 20ab - 17bc + 12ca ___ca Answer:_______________ |
| 3) Solve the following. subtract 4ab + 10bc - 2ac from 19ab - 5bc + 12ca ___ca Answer:_______________ |
| 4) Solve the following. subtract 8ab + 11bc - 9ac from 12ab - 18bc + 19ca ___ca Answer:_______________ |
| 5) Solve the following. subtract 4ab + 11bc - 19ac from 13ab - 11bc + 7ca ___ca Answer:_______________ |
| 6) Solve the following. subtract 4ab + 14bc - 14ac from 17ab - 10bc + 15ca ___ca Answer:_______________ |
| 7) Solve the following. subtract 7ab + 4bc - 15ac from 20ab - 20bc + 17ca ___ca Answer:_______________ |
| 8) Solve the following. subtract 8ab + 2bc - 16ac from 20ab - 8bc + 16ca ___ca Answer:_______________ |
| 9) Solve the following. subtract 4ab + 8bc - 5ac from 15ab - 16bc + 9ca ___ca Answer:_______________ |
| 10) Solve the following. subtract 4ab + 16bc - 4ac from 17ab - 3bc + 10ca ___ca Answer:_______________ |
| 1) Solve the following. subtract 8ab + 12bc - 20ac from 13ab - 19bc + 14ca Answer: 5ab Answer: -31bc Answer: 34ca SOLUTION 1 : (13ab - 19bc + 14ca) - (8ab + 12bc - 20ca) = 13ab - 19bc + 14ca - 8ab - 12bc + 20ca = (13ab - 8ab) + (-19bc - 12bc) + (14ca + 20ca) = (13 - 8)ab + (-19 - 12)bc + (14 + 20)ca = 5ab -31bc + 34ca |
| 2) Solve the following. subtract 6ab + 10bc - 12ac from 20ab - 17bc + 12ca Answer: 14ab Answer: -27bc Answer: 24ca SOLUTION 1 : (20ab - 17bc + 12ca) - (6ab + 10bc - 12ca) = 20ab - 17bc + 12ca - 6ab - 10bc + 12ca = (20ab - 6ab) + (-17bc - 10bc) + (12ca + 12ca) = (20 - 6)ab + (-17 - 10)bc + (12 + 12)ca = 14ab -27bc + 24ca |
| 3) Solve the following. subtract 4ab + 10bc - 2ac from 19ab - 5bc + 12ca Answer: 15ab Answer: -15bc Answer: 14ca SOLUTION 1 : (19ab - 5bc + 12ca) - (4ab + 10bc - 2ca) = 19ab - 5bc + 12ca - 4ab - 10bc + 2ca = (19ab - 4ab) + (-5bc - 10bc) + (12ca + 2ca) = (19 - 4)ab + (-5 - 10)bc + (12 + 2)ca = 15ab -15bc + 14ca |
| 4) Solve the following. subtract 8ab + 11bc - 9ac from 12ab - 18bc + 19ca Answer: 4ab Answer: -29bc Answer: 28ca SOLUTION 1 : (12ab - 18bc + 19ca) - (8ab + 11bc - 9ca) = 12ab - 18bc + 19ca - 8ab - 11bc + 9ca = (12ab - 8ab) + (-18bc - 11bc) + (19ca + 9ca) = (12 - 8)ab + (-18 - 11)bc + (19 + 9)ca = 4ab -29bc + 28ca |
| 5) Solve the following. subtract 4ab + 11bc - 19ac from 13ab - 11bc + 7ca Answer: 9ab Answer: -22bc Answer: 26ca SOLUTION 1 : (13ab - 11bc + 7ca) - (4ab + 11bc - 19ca) = 13ab - 11bc + 7ca - 4ab - 11bc + 19ca = (13ab - 4ab) + (-11bc - 11bc) + (7ca + 19ca) = (13 - 4)ab + (-11 - 11)bc + (7 + 19)ca = 9ab -22bc + 26ca |
| 6) Solve the following. subtract 4ab + 14bc - 14ac from 17ab - 10bc + 15ca Answer: 13ab Answer: -24bc Answer: 29ca SOLUTION 1 : (17ab - 10bc + 15ca) - (4ab + 14bc - 14ca) = 17ab - 10bc + 15ca - 4ab - 14bc + 14ca = (17ab - 4ab) + (-10bc - 14bc) + (15ca + 14ca) = (17 - 4)ab + (-10 - 14)bc + (15 + 14)ca = 13ab -24bc + 29ca |
| 7) Solve the following. subtract 7ab + 4bc - 15ac from 20ab - 20bc + 17ca Answer: 13ab Answer: -24bc Answer: 32ca SOLUTION 1 : (20ab - 20bc + 17ca) - (7ab + 4bc - 15ca) = 20ab - 20bc + 17ca - 7ab - 4bc + 15ca = (20ab - 7ab) + (-20bc - 4bc) + (17ca + 15ca) = (20 - 7)ab + (-20 - 4)bc + (17 + 15)ca = 13ab -24bc + 32ca |
| 8) Solve the following. subtract 8ab + 2bc - 16ac from 20ab - 8bc + 16ca Answer: 12ab Answer: -10bc Answer: 32ca SOLUTION 1 : (20ab - 8bc + 16ca) - (8ab + 2bc - 16ca) = 20ab - 8bc + 16ca - 8ab - 2bc + 16ca = (20ab - 8ab) + (-8bc - 2bc) + (16ca + 16ca) = (20 - 8)ab + (-8 - 2)bc + (16 + 16)ca = 12ab -10bc + 32ca |
| 9) Solve the following. subtract 4ab + 8bc - 5ac from 15ab - 16bc + 9ca Answer: 11ab Answer: -24bc Answer: 14ca SOLUTION 1 : (15ab - 16bc + 9ca) - (4ab + 8bc - 5ca) = 15ab - 16bc + 9ca - 4ab - 8bc + 5ca = (15ab - 4ab) + (-16bc - 8bc) + (9ca + 5ca) = (15 - 4)ab + (-16 - 8)bc + (9 + 5)ca = 11ab -24bc + 14ca |
| 10) Solve the following. subtract 4ab + 16bc - 4ac from 17ab - 3bc + 10ca Answer: 13ab Answer: -19bc Answer: 14ca SOLUTION 1 : (17ab - 3bc + 10ca) - (4ab + 16bc - 4ca) = 17ab - 3bc + 10ca - 4ab - 16bc + 4ca = (17ab - 4ab) + (-3bc - 16bc) + (10ca + 4ca) = (17 - 4)ab + (-3 - 16)bc + (10 + 4)ca = 13ab -19bc + 14ca |