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 4ab + 6bc - 11ac from 16ab - 11bc + 9ca ___ca Answer:_______________ |
2) Solve the following. subtract 7ab + 13bc - 20ac from 21ab - 18bc + 7ca ___ca Answer:_______________ |
3) Solve the following. subtract 8ab + 11bc - 7ac from 19ab - 13bc + 17ca ___ca Answer:_______________ |
4) Solve the following. subtract 6ab + 19bc - 13ac from 13ab - 18bc + 18ca ___ca Answer:_______________ |
5) Solve the following. subtract 9ab + 15bc - 11ac from 14ab - 8bc + 14ca ___ca Answer:_______________ |
6) Solve the following. subtract 2ab + 8bc - 10ac from 16ab - 13bc + 5ca ___ca Answer:_______________ |
7) Solve the following. subtract 2ab + 14bc - 4ac from 14ab - 14bc + 17ca ___ca Answer:_______________ |
8) Solve the following. subtract 2ab + 7bc - 3ac from 13ab - 16bc + 15ca ___ca Answer:_______________ |
9) Solve the following. subtract 6ab + 14bc - 11ac from 13ab - 6bc + 3ca ___ca Answer:_______________ |
10) Solve the following. subtract 9ab + 6bc - 20ac from 21ab - 15bc + 9ca ___ca Answer:_______________ |
1) Solve the following. subtract 4ab + 6bc - 11ac from 16ab - 11bc + 9ca Answer: 12ab Answer: -17bc Answer: 20ca SOLUTION 1 : (16ab - 11bc + 9ca) - (4ab + 6bc - 11ca) = 16ab - 11bc + 9ca - 4ab - 6bc + 11ca = (16ab - 4ab) + (-11bc - 6bc) + (9ca + 11ca) = (16 - 4)ab + (-11 - 6)bc + (9 + 11)ca = 12ab -17bc + 20ca |
2) Solve the following. subtract 7ab + 13bc - 20ac from 21ab - 18bc + 7ca Answer: 14ab Answer: -31bc Answer: 27ca SOLUTION 1 : (21ab - 18bc + 7ca) - (7ab + 13bc - 20ca) = 21ab - 18bc + 7ca - 7ab - 13bc + 20ca = (21ab - 7ab) + (-18bc - 13bc) + (7ca + 20ca) = (21 - 7)ab + (-18 - 13)bc + (7 + 20)ca = 14ab -31bc + 27ca |
3) Solve the following. subtract 8ab + 11bc - 7ac from 19ab - 13bc + 17ca Answer: 11ab Answer: -24bc Answer: 24ca SOLUTION 1 : (19ab - 13bc + 17ca) - (8ab + 11bc - 7ca) = 19ab - 13bc + 17ca - 8ab - 11bc + 7ca = (19ab - 8ab) + (-13bc - 11bc) + (17ca + 7ca) = (19 - 8)ab + (-13 - 11)bc + (17 + 7)ca = 11ab -24bc + 24ca |
4) Solve the following. subtract 6ab + 19bc - 13ac from 13ab - 18bc + 18ca Answer: 7ab Answer: -37bc Answer: 31ca SOLUTION 1 : (13ab - 18bc + 18ca) - (6ab + 19bc - 13ca) = 13ab - 18bc + 18ca - 6ab - 19bc + 13ca = (13ab - 6ab) + (-18bc - 19bc) + (18ca + 13ca) = (13 - 6)ab + (-18 - 19)bc + (18 + 13)ca = 7ab -37bc + 31ca |
5) Solve the following. subtract 9ab + 15bc - 11ac from 14ab - 8bc + 14ca Answer: 5ab Answer: -23bc Answer: 25ca SOLUTION 1 : (14ab - 8bc + 14ca) - (9ab + 15bc - 11ca) = 14ab - 8bc + 14ca - 9ab - 15bc + 11ca = (14ab - 9ab) + (-8bc - 15bc) + (14ca + 11ca) = (14 - 9)ab + (-8 - 15)bc + (14 + 11)ca = 5ab -23bc + 25ca |
6) Solve the following. subtract 2ab + 8bc - 10ac from 16ab - 13bc + 5ca Answer: 14ab Answer: -21bc Answer: 15ca SOLUTION 1 : (16ab - 13bc + 5ca) - (2ab + 8bc - 10ca) = 16ab - 13bc + 5ca - 2ab - 8bc + 10ca = (16ab - 2ab) + (-13bc - 8bc) + (5ca + 10ca) = (16 - 2)ab + (-13 - 8)bc + (5 + 10)ca = 14ab -21bc + 15ca |
7) Solve the following. subtract 2ab + 14bc - 4ac from 14ab - 14bc + 17ca Answer: 12ab Answer: -28bc Answer: 21ca SOLUTION 1 : (14ab - 14bc + 17ca) - (2ab + 14bc - 4ca) = 14ab - 14bc + 17ca - 2ab - 14bc + 4ca = (14ab - 2ab) + (-14bc - 14bc) + (17ca + 4ca) = (14 - 2)ab + (-14 - 14)bc + (17 + 4)ca = 12ab -28bc + 21ca |
8) Solve the following. subtract 2ab + 7bc - 3ac from 13ab - 16bc + 15ca Answer: 11ab Answer: -23bc Answer: 18ca SOLUTION 1 : (13ab - 16bc + 15ca) - (2ab + 7bc - 3ca) = 13ab - 16bc + 15ca - 2ab - 7bc + 3ca = (13ab - 2ab) + (-16bc - 7bc) + (15ca + 3ca) = (13 - 2)ab + (-16 - 7)bc + (15 + 3)ca = 11ab -23bc + 18ca |
9) Solve the following. subtract 6ab + 14bc - 11ac from 13ab - 6bc + 3ca Answer: 7ab Answer: -20bc Answer: 14ca SOLUTION 1 : (13ab - 6bc + 3ca) - (6ab + 14bc - 11ca) = 13ab - 6bc + 3ca - 6ab - 14bc + 11ca = (13ab - 6ab) + (-6bc - 14bc) + (3ca + 11ca) = (13 - 6)ab + (-6 - 14)bc + (3 + 11)ca = 7ab -20bc + 14ca |
10) Solve the following. subtract 9ab + 6bc - 20ac from 21ab - 15bc + 9ca Answer: 12ab Answer: -21bc Answer: 29ca SOLUTION 1 : (21ab - 15bc + 9ca) - (9ab + 6bc - 20ca) = 21ab - 15bc + 9ca - 9ab - 6bc + 20ca = (21ab - 9ab) + (-15bc - 6bc) + (9ca + 20ca) = (21 - 9)ab + (-15 - 6)bc + (9 + 20)ca = 12ab -21bc + 29ca |