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. (18f2 - 12fz + 10z2) - (6f2 - 8fz - 21z2) f2 z2 - fz Answer:_______________ |
| 2) Solve the following. (28a2 - 15ai + 7i2) - (5a2 - 8ai - 23i2) a2 i2 - ai Answer:_______________ |
| 3) Solve the following. (27r2 - 22rs + 14s2) - (8r2 - 3rs - 21s2) r2 s2 - rs Answer:_______________ |
| 4) Solve the following. (17u2 - 16um + 7m2) - (1u2 - 4um - 8m2) ___m2 - um Answer:_______________ |
| 5) Solve the following. (26e2 - 18ez + 7z2) - (8e2 - 8ez - 14z2) e2 z2 - ez Answer:_______________ |
| 6) Solve the following. (11w2 - 15wh + 10h2) - (8w2 - 6wh - 6h2) w2 h2 - wh Answer:_______________ |
| 7) Solve the following. (17q2 - 20qk + 18k2) - (5q2 - 4qk - 7k2) q2 k2 - qk Answer:_______________ |
| 8) Solve the following. (17e2 - 13ef + 6f2) - (1e2 - 9ef - 13f2) e2 f2 - ef Answer:_______________ |
| 9) Solve the following. (13z2 - 20zi + 12i2) - (5z2 - 7zi - 19i2) z2 i2 - zi Answer:_______________ |
| 10) Solve the following. (27y2 - 16yu + 8u2) - (8y2 - 8yu - 9u2) y2 u2 - yu Answer:_______________ |
| 1) Solve the following. (18f2 - 12fo + 10o2) - (6f2 - 8fo - 21o2) Answer: 12f2 Answer: 31o2 - Answer: 4fo SOLUTION 1 : 18f2 - 12fo + 10o2 - 6f2 + 8fo + 21o2 = ( 18f2 - 6f2 ) + ( 10o2 + 21o2 ) + ( -12fo + 8fo ) = (18 - 6)f2 + (10 + 21)o2 + ( -12 + 8)fo = (12)f2 + (31)o2 + ( -4)fo = 12f2 + 31o2 - 4fo |
| 2) Solve the following. (28q2 - 15qb + 7b2) - (5q2 - 8qb - 23b2) Answer: 23q2 Answer: 30b2 - Answer: 7qb SOLUTION 1 : 28q2 - 15qb + 7b2 - 5q2 + 8qb + 23b2 = ( 28q2 - 5q2 ) + ( 7b2 + 23b2 ) + ( -15qb + 8qb ) = (28 - 5)q2 + (7 + 23)b2 + ( -15 + 8)qb = (23)q2 + (30)b2 + ( -7)qb = 23q2 + 30b2 - 7qb |
| 3) Solve the following. (27k2 - 22kz + 14z2) - (8k2 - 3kz - 21z2) Answer: 19k2 Answer: 35z2 - Answer: 19kz SOLUTION 1 : 27k2 - 22kz + 14z2 - 8k2 + 3kz + 21z2 = ( 27k2 - 8k2 ) + ( 14z2 + 21z2 ) + ( -22kz + 3kz ) = (27 - 8)k2 + (14 + 21)z2 + ( -22 + 3)kz = (19)k2 + (35)z2 + ( -19)kz = 19k2 + 35z2 - 19kz |
| 4) Solve the following. (17m2 - 16mj + 7j2) - (1m2 - 4mj - 8j2) Answer: 16m2 Answer: 15j2 - Answer: 12mj SOLUTION 1 : 17m2 - 16mj + 7j2 - 1m2 + 4mj + 8j2 = ( 17m2 - 1m2 ) + ( 7j2 + 8j2 ) + ( -16mj + 4mj ) = (17 - 1)m2 + (7 + 8)j2 + ( -16 + 4)mj = (16)m2 + (15)j2 + ( -12)mj = 16m2 + 15j2 - 12mj |
| 5) Solve the following. (26e2 - 18el + 7l2) - (8e2 - 8el - 14l2) Answer: 18e2 Answer: 21l2 - Answer: 10el SOLUTION 1 : 26e2 - 18el + 7l2 - 8e2 + 8el + 14l2 = ( 26e2 - 8e2 ) + ( 7l2 + 14l2 ) + ( -18el + 8el ) = (26 - 8)e2 + (7 + 14)l2 + ( -18 + 8)el = (18)e2 + (21)l2 + ( -10)el = 18e2 + 21l2 - 10el |
| 6) Solve the following. (11s2 - 15si + 10i2) - (8s2 - 6si - 6i2) Answer: 3s2 Answer: 16i2 - Answer: 9si SOLUTION 1 : 11s2 - 15si + 10i2 - 8s2 + 6si + 6i2 = ( 11s2 - 8s2 ) + ( 10i2 + 6i2 ) + ( -15si + 6si ) = (11 - 8)s2 + (10 + 6)i2 + ( -15 + 6)si = (3)s2 + (16)i2 + ( -9)si = 3s2 + 16i2 - 9si |
| 7) Solve the following. (17t2 - 20tw + 18w2) - (5t2 - 4tw - 7w2) Answer: 12t2 Answer: 25w2 - Answer: 16tw SOLUTION 1 : 17t2 - 20tw + 18w2 - 5t2 + 4tw + 7w2 = ( 17t2 - 5t2 ) + ( 18w2 + 7w2 ) + ( -20tw + 4tw ) = (17 - 5)t2 + (18 + 7)w2 + ( -20 + 4)tw = (12)t2 + (25)w2 + ( -16)tw = 12t2 + 25w2 - 16tw |
| 8) Solve the following. (17c2 - 13cp + 6p2) - (1c2 - 9cp - 13p2) Answer: 16c2 Answer: 19p2 - Answer: 4cp SOLUTION 1 : 17c2 - 13cp + 6p2 - 1c2 + 9cp + 13p2 = ( 17c2 - 1c2 ) + ( 6p2 + 13p2 ) + ( -13cp + 9cp ) = (17 - 1)c2 + (6 + 13)p2 + ( -13 + 9)cp = (16)c2 + (19)p2 + ( -4)cp = 16c2 + 19p2 - 4cp |
| 9) Solve the following. (13v2 - 20vm + 12m2) - (5v2 - 7vm - 19m2) Answer: 8v2 Answer: 31m2 - Answer: 13vm SOLUTION 1 : 13v2 - 20vm + 12m2 - 5v2 + 7vm + 19m2 = ( 13v2 - 5v2 ) + ( 12m2 + 19m2 ) + ( -20vm + 7vm ) = (13 - 5)v2 + (12 + 19)m2 + ( -20 + 7)vm = (8)v2 + (31)m2 + ( -13)vm = 8v2 + 31m2 - 13vm |
| 10) Solve the following. (27n2 - 16ni + 8i2) - (8n2 - 8ni - 9i2) Answer: 19n2 Answer: 17i2 - Answer: 8ni SOLUTION 1 : 27n2 - 16ni + 8i2 - 8n2 + 8ni + 9i2 = ( 27n2 - 8n2 ) + ( 8i2 + 9i2 ) + ( -16ni + 8ni ) = (27 - 8)n2 + (8 + 9)i2 + ( -16 + 8)ni = (19)n2 + (17)i2 + ( -8)ni = 19n2 + 17i2 - 8ni |