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 2ab + 19bc - 8ac from 22ab - 19bc + 8ca ___ca Answer:_______________ |
| 2) Solve the following. subtract 2ab + 2bc - 17ac from 12ab - 11bc + 4ca ___ca Answer:_______________ |
| 3) Solve the following. subtract 7ab + 13bc - 6ac from 17ab - 18bc + 6ca ___ca Answer:_______________ |
| 4) Solve the following. subtract 7ab + 3bc - 14ac from 15ab - 12bc + 17ca ___ca Answer:_______________ |
| 5) Solve the following. subtract 2ab + 9bc - 15ac from 21ab - 20bc + 18ca ___ca Answer:_______________ |
| 6) Solve the following. subtract 5ab + 14bc - 17ac from 13ab - 14bc + 9ca ___ca Answer:_______________ |
| 7) Solve the following. subtract 5ab + 14bc - 14ac from 17ab - 7bc + 8ca ___ca Answer:_______________ |
| 8) Solve the following. subtract 4ab + 12bc - 16ac from 13ab - 12bc + 3ca ___ca Answer:_______________ |
| 9) Solve the following. subtract 3ab + 8bc - 11ac from 19ab - 8bc + 2ca ___ca Answer:_______________ |
| 10) Solve the following. subtract 8ab + 16bc - 9ac from 22ab - 17bc + 17ca ___ca Answer:_______________ |
| 1) Solve the following. subtract 2ab + 19bc - 8ac from 22ab - 19bc + 8ca Answer: 20ab Answer: -38bc Answer: 16ca SOLUTION 1 : (22ab - 19bc + 8ca) - (2ab + 19bc - 8ca) = 22ab - 19bc + 8ca - 2ab - 19bc + 8ca = (22ab - 2ab) + (-19bc - 19bc) + (8ca + 8ca) = (22 - 2)ab + (-19 - 19)bc + (8 + 8)ca = 20ab -38bc + 16ca |
| 2) Solve the following. subtract 2ab + 2bc - 17ac from 12ab - 11bc + 4ca Answer: 10ab Answer: -13bc Answer: 21ca SOLUTION 1 : (12ab - 11bc + 4ca) - (2ab + 2bc - 17ca) = 12ab - 11bc + 4ca - 2ab - 2bc + 17ca = (12ab - 2ab) + (-11bc - 2bc) + (4ca + 17ca) = (12 - 2)ab + (-11 - 2)bc + (4 + 17)ca = 10ab -13bc + 21ca |
| 3) Solve the following. subtract 7ab + 13bc - 6ac from 17ab - 18bc + 6ca Answer: 10ab Answer: -31bc Answer: 12ca SOLUTION 1 : (17ab - 18bc + 6ca) - (7ab + 13bc - 6ca) = 17ab - 18bc + 6ca - 7ab - 13bc + 6ca = (17ab - 7ab) + (-18bc - 13bc) + (6ca + 6ca) = (17 - 7)ab + (-18 - 13)bc + (6 + 6)ca = 10ab -31bc + 12ca |
| 4) Solve the following. subtract 7ab + 3bc - 14ac from 15ab - 12bc + 17ca Answer: 8ab Answer: -15bc Answer: 31ca SOLUTION 1 : (15ab - 12bc + 17ca) - (7ab + 3bc - 14ca) = 15ab - 12bc + 17ca - 7ab - 3bc + 14ca = (15ab - 7ab) + (-12bc - 3bc) + (17ca + 14ca) = (15 - 7)ab + (-12 - 3)bc + (17 + 14)ca = 8ab -15bc + 31ca |
| 5) Solve the following. subtract 2ab + 9bc - 15ac from 21ab - 20bc + 18ca Answer: 19ab Answer: -29bc Answer: 33ca SOLUTION 1 : (21ab - 20bc + 18ca) - (2ab + 9bc - 15ca) = 21ab - 20bc + 18ca - 2ab - 9bc + 15ca = (21ab - 2ab) + (-20bc - 9bc) + (18ca + 15ca) = (21 - 2)ab + (-20 - 9)bc + (18 + 15)ca = 19ab -29bc + 33ca |
| 6) Solve the following. subtract 5ab + 14bc - 17ac from 13ab - 14bc + 9ca Answer: 8ab Answer: -28bc Answer: 26ca SOLUTION 1 : (13ab - 14bc + 9ca) - (5ab + 14bc - 17ca) = 13ab - 14bc + 9ca - 5ab - 14bc + 17ca = (13ab - 5ab) + (-14bc - 14bc) + (9ca + 17ca) = (13 - 5)ab + (-14 - 14)bc + (9 + 17)ca = 8ab -28bc + 26ca |
| 7) Solve the following. subtract 5ab + 14bc - 14ac from 17ab - 7bc + 8ca Answer: 12ab Answer: -21bc Answer: 22ca SOLUTION 1 : (17ab - 7bc + 8ca) - (5ab + 14bc - 14ca) = 17ab - 7bc + 8ca - 5ab - 14bc + 14ca = (17ab - 5ab) + (-7bc - 14bc) + (8ca + 14ca) = (17 - 5)ab + (-7 - 14)bc + (8 + 14)ca = 12ab -21bc + 22ca |
| 8) Solve the following. subtract 4ab + 12bc - 16ac from 13ab - 12bc + 3ca Answer: 9ab Answer: -24bc Answer: 19ca SOLUTION 1 : (13ab - 12bc + 3ca) - (4ab + 12bc - 16ca) = 13ab - 12bc + 3ca - 4ab - 12bc + 16ca = (13ab - 4ab) + (-12bc - 12bc) + (3ca + 16ca) = (13 - 4)ab + (-12 - 12)bc + (3 + 16)ca = 9ab -24bc + 19ca |
| 9) Solve the following. subtract 3ab + 8bc - 11ac from 19ab - 8bc + 2ca Answer: 16ab Answer: -16bc Answer: 13ca SOLUTION 1 : (19ab - 8bc + 2ca) - (3ab + 8bc - 11ca) = 19ab - 8bc + 2ca - 3ab - 8bc + 11ca = (19ab - 3ab) + (-8bc - 8bc) + (2ca + 11ca) = (19 - 3)ab + (-8 - 8)bc + (2 + 11)ca = 16ab -16bc + 13ca |
| 10) Solve the following. subtract 8ab + 16bc - 9ac from 22ab - 17bc + 17ca Answer: 14ab Answer: -33bc Answer: 26ca SOLUTION 1 : (22ab - 17bc + 17ca) - (8ab + 16bc - 9ca) = 22ab - 17bc + 17ca - 8ab - 16bc + 9ca = (22ab - 8ab) + (-17bc - 16bc) + (17ca + 9ca) = (22 - 8)ab + (-17 - 16)bc + (17 + 9)ca = 14ab -33bc + 26ca |