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 + 10bc - 20ac from 15ab - 10bc + 8ca ___ca Answer:_______________ |
2) Solve the following. subtract 9ab + 7bc - 16ac from 12ab - 11bc + 14ca ___ca Answer:_______________ |
3) Solve the following. subtract 4ab + 6bc - 13ac from 21ab - 14bc + 18ca ___ca Answer:_______________ |
4) Solve the following. subtract 9ab + 7bc - 11ac from 12ab - 2bc + 19ca ___ca Answer:_______________ |
5) Solve the following. subtract 6ab + 19bc - 18ac from 18ab - 2bc + 11ca ___ca Answer:_______________ |
6) Solve the following. subtract 2ab + 18bc - 14ac from 15ab - 7bc + 15ca ___ca Answer:_______________ |
7) Solve the following. subtract 9ab + 3bc - 11ac from 21ab - 11bc + 20ca ___ca Answer:_______________ |
8) Solve the following. subtract 6ab + 3bc - 16ac from 17ab - 6bc + 12ca ___ca Answer:_______________ |
9) Solve the following. subtract 5ab + 10bc - 2ac from 18ab - 16bc + 11ca ___ca Answer:_______________ |
10) Solve the following. subtract 3ab + 13bc - 11ac from 13ab - 16bc + 3ca ___ca Answer:_______________ |
1) Solve the following. subtract 5ab + 10bc - 20ac from 15ab - 10bc + 8ca Answer: 10ab Answer: -20bc Answer: 28ca SOLUTION 1 : (15ab - 10bc + 8ca) - (5ab + 10bc - 20ca) = 15ab - 10bc + 8ca - 5ab - 10bc + 20ca = (15ab - 5ab) + (-10bc - 10bc) + (8ca + 20ca) = (15 - 5)ab + (-10 - 10)bc + (8 + 20)ca = 10ab -20bc + 28ca |
2) Solve the following. subtract 9ab + 7bc - 16ac from 12ab - 11bc + 14ca Answer: 3ab Answer: -18bc Answer: 30ca SOLUTION 1 : (12ab - 11bc + 14ca) - (9ab + 7bc - 16ca) = 12ab - 11bc + 14ca - 9ab - 7bc + 16ca = (12ab - 9ab) + (-11bc - 7bc) + (14ca + 16ca) = (12 - 9)ab + (-11 - 7)bc + (14 + 16)ca = 3ab -18bc + 30ca |
3) Solve the following. subtract 4ab + 6bc - 13ac from 21ab - 14bc + 18ca Answer: 17ab Answer: -20bc Answer: 31ca SOLUTION 1 : (21ab - 14bc + 18ca) - (4ab + 6bc - 13ca) = 21ab - 14bc + 18ca - 4ab - 6bc + 13ca = (21ab - 4ab) + (-14bc - 6bc) + (18ca + 13ca) = (21 - 4)ab + (-14 - 6)bc + (18 + 13)ca = 17ab -20bc + 31ca |
4) Solve the following. subtract 9ab + 7bc - 11ac from 12ab - 2bc + 19ca Answer: 3ab Answer: -9bc Answer: 30ca SOLUTION 1 : (12ab - 2bc + 19ca) - (9ab + 7bc - 11ca) = 12ab - 2bc + 19ca - 9ab - 7bc + 11ca = (12ab - 9ab) + (-2bc - 7bc) + (19ca + 11ca) = (12 - 9)ab + (-2 - 7)bc + (19 + 11)ca = 3ab -9bc + 30ca |
5) Solve the following. subtract 6ab + 19bc - 18ac from 18ab - 2bc + 11ca Answer: 12ab Answer: -21bc Answer: 29ca SOLUTION 1 : (18ab - 2bc + 11ca) - (6ab + 19bc - 18ca) = 18ab - 2bc + 11ca - 6ab - 19bc + 18ca = (18ab - 6ab) + (-2bc - 19bc) + (11ca + 18ca) = (18 - 6)ab + (-2 - 19)bc + (11 + 18)ca = 12ab -21bc + 29ca |
6) Solve the following. subtract 2ab + 18bc - 14ac from 15ab - 7bc + 15ca Answer: 13ab Answer: -25bc Answer: 29ca SOLUTION 1 : (15ab - 7bc + 15ca) - (2ab + 18bc - 14ca) = 15ab - 7bc + 15ca - 2ab - 18bc + 14ca = (15ab - 2ab) + (-7bc - 18bc) + (15ca + 14ca) = (15 - 2)ab + (-7 - 18)bc + (15 + 14)ca = 13ab -25bc + 29ca |
7) Solve the following. subtract 9ab + 3bc - 11ac from 21ab - 11bc + 20ca Answer: 12ab Answer: -14bc Answer: 31ca SOLUTION 1 : (21ab - 11bc + 20ca) - (9ab + 3bc - 11ca) = 21ab - 11bc + 20ca - 9ab - 3bc + 11ca = (21ab - 9ab) + (-11bc - 3bc) + (20ca + 11ca) = (21 - 9)ab + (-11 - 3)bc + (20 + 11)ca = 12ab -14bc + 31ca |
8) Solve the following. subtract 6ab + 3bc - 16ac from 17ab - 6bc + 12ca Answer: 11ab Answer: -9bc Answer: 28ca SOLUTION 1 : (17ab - 6bc + 12ca) - (6ab + 3bc - 16ca) = 17ab - 6bc + 12ca - 6ab - 3bc + 16ca = (17ab - 6ab) + (-6bc - 3bc) + (12ca + 16ca) = (17 - 6)ab + (-6 - 3)bc + (12 + 16)ca = 11ab -9bc + 28ca |
9) Solve the following. subtract 5ab + 10bc - 2ac from 18ab - 16bc + 11ca Answer: 13ab Answer: -26bc Answer: 13ca SOLUTION 1 : (18ab - 16bc + 11ca) - (5ab + 10bc - 2ca) = 18ab - 16bc + 11ca - 5ab - 10bc + 2ca = (18ab - 5ab) + (-16bc - 10bc) + (11ca + 2ca) = (18 - 5)ab + (-16 - 10)bc + (11 + 2)ca = 13ab -26bc + 13ca |
10) Solve the following. subtract 3ab + 13bc - 11ac from 13ab - 16bc + 3ca Answer: 10ab Answer: -29bc Answer: 14ca SOLUTION 1 : (13ab - 16bc + 3ca) - (3ab + 13bc - 11ca) = 13ab - 16bc + 3ca - 3ab - 13bc + 11ca = (13ab - 3ab) + (-16bc - 13bc) + (3ca + 11ca) = (13 - 3)ab + (-16 - 13)bc + (3 + 11)ca = 10ab -29bc + 14ca |