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 |