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 |