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. (13f2 - 12fh + 5h2) - (7f2 - 3fh - 11h2) f2 h2 - fh Answer:_______________ |
| 2) Solve the following. (16y2 - 21yo + 5o2) - (9y2 - 9yo - 21o2) y2 o2 - yo Answer:_______________ |
| 3) Solve the following. (20y2 - 16yo + 11o2) - (9y2 - 6yo - 19o2) y2 o2 - yo Answer:_______________ |
| 4) Solve the following. (21i2 - 16ia + 15a2) - (6i2 - 9ia - 19a2) i2 a2 - ia Answer:_______________ |
| 5) Solve the following. (23h2 - 17hn + 4n2) - (5h2 - 3hn - 7n2) h2 n2 - hn Answer:_______________ |
| 6) Solve the following. (24m2 - 20mf + 4f2) - (5m2 - 5mf - 25f2) ___m2 ___mf Answer:_______________ |
| 7) Solve the following. (25e2 - 15el + 6l2) - (5e2 - 8el - 24l2) e2 l2 - el Answer:_______________ |
| 8) Solve the following. (15x2 - 12xk + 11k2) - (4x2 - 9xk - 22k2) x2 k2 - xk Answer:_______________ |
| 9) Solve the following. (16r2 - 21rm + 9m2) - (3r2 - 8rm - 22m2) ___m2 - rm Answer:_______________ |
| 10) Solve the following. (26o2 - 14od + 5d2) - (9o2 - 6od - 7d2) o2 d2 - od Answer:_______________ |
| 1) Solve the following. (13k2 - 12kl + 5l2) - (7k2 - 3kl - 11l2) Answer: 6k2 Answer: 16l2 - Answer: 9kl SOLUTION 1 : 13k2 - 12kl + 5l2 - 7k2 + 3kl + 11l2 = ( 13k2 - 7k2 ) + ( 5l2 + 11l2 ) + ( -12kl + 3kl ) = (13 - 7)k2 + (5 + 11)l2 + ( -12 + 3)kl = (6)k2 + (16)l2 + ( -9)kl = 6k2 + 16l2 - 9kl |
| 2) Solve the following. (16u2 - 21up + 5p2) - (9u2 - 9up - 21p2) Answer: 7u2 Answer: 26p2 - Answer: 12up SOLUTION 1 : 16u2 - 21up + 5p2 - 9u2 + 9up + 21p2 = ( 16u2 - 9u2 ) + ( 5p2 + 21p2 ) + ( -21up + 9up ) = (16 - 9)u2 + (5 + 21)p2 + ( -21 + 9)up = (7)u2 + (26)p2 + ( -12)up = 7u2 + 26p2 - 12up |
| 3) Solve the following. (20i2 - 16il + 11l2) - (9i2 - 6il - 19l2) Answer: 11i2 Answer: 30l2 - Answer: 10il SOLUTION 1 : 20i2 - 16il + 11l2 - 9i2 + 6il + 19l2 = ( 20i2 - 9i2 ) + ( 11l2 + 19l2 ) + ( -16il + 6il ) = (20 - 9)i2 + (11 + 19)l2 + ( -16 + 6)il = (11)i2 + (30)l2 + ( -10)il = 11i2 + 30l2 - 10il |
| 4) Solve the following. (21m2 - 16mb + 15b2) - (6m2 - 9mb - 19b2) Answer: 15m2 Answer: 34b2 - Answer: 7mb SOLUTION 1 : 21m2 - 16mb + 15b2 - 6m2 + 9mb + 19b2 = ( 21m2 - 6m2 ) + ( 15b2 + 19b2 ) + ( -16mb + 9mb ) = (21 - 6)m2 + (15 + 19)b2 + ( -16 + 9)mb = (15)m2 + (34)b2 + ( -7)mb = 15m2 + 34b2 - 7mb |
| 5) Solve the following. (23o2 - 17oc + 4c2) - (5o2 - 3oc - 7c2) Answer: 18o2 Answer: 11c2 - Answer: 14oc SOLUTION 1 : 23o2 - 17oc + 4c2 - 5o2 + 3oc + 7c2 = ( 23o2 - 5o2 ) + ( 4c2 + 7c2 ) + ( -17oc + 3oc ) = (23 - 5)o2 + (4 + 7)c2 + ( -17 + 3)oc = (18)o2 + (11)c2 + ( -14)oc = 18o2 + 11c2 - 14oc |
| 6) Solve the following. (24h2 - 20hu + 4u2) - (5h2 - 5hu - 25u2) Answer: 19h2 Answer: 29u2 - Answer: 15hu SOLUTION 1 : 24h2 - 20hu + 4u2 - 5h2 + 5hu + 25u2 = ( 24h2 - 5h2 ) + ( 4u2 + 25u2 ) + ( -20hu + 5hu ) = (24 - 5)h2 + (4 + 25)u2 + ( -20 + 5)hu = (19)h2 + (29)u2 + ( -15)hu = 19h2 + 29u2 - 15hu |
| 7) Solve the following. (25d2 - 15dw + 6w2) - (5d2 - 8dw - 24w2) Answer: 20d2 Answer: 30w2 - Answer: 7dw SOLUTION 1 : 25d2 - 15dw + 6w2 - 5d2 + 8dw + 24w2 = ( 25d2 - 5d2 ) + ( 6w2 + 24w2 ) + ( -15dw + 8dw ) = (25 - 5)d2 + (6 + 24)w2 + ( -15 + 8)dw = (20)d2 + (30)w2 + ( -7)dw = 20d2 + 30w2 - 7dw |
| 8) Solve the following. (15l2 - 12lk + 11k2) - (4l2 - 9lk - 22k2) Answer: 11l2 Answer: 33k2 - Answer: 3lk SOLUTION 1 : 15l2 - 12lk + 11k2 - 4l2 + 9lk + 22k2 = ( 15l2 - 4l2 ) + ( 11k2 + 22k2 ) + ( -12lk + 9lk ) = (15 - 4)l2 + (11 + 22)k2 + ( -12 + 9)lk = (11)l2 + (33)k2 + ( -3)lk = 11l2 + 33k2 - 3lk |
| 9) Solve the following. (16z2 - 21zq + 9q2) - (3z2 - 8zq - 22q2) Answer: 13z2 Answer: 31q2 - Answer: 13zq SOLUTION 1 : 16z2 - 21zq + 9q2 - 3z2 + 8zq + 22q2 = ( 16z2 - 3z2 ) + ( 9q2 + 22q2 ) + ( -21zq + 8zq ) = (16 - 3)z2 + (9 + 22)q2 + ( -21 + 8)zq = (13)z2 + (31)q2 + ( -13)zq = 13z2 + 31q2 - 13zq |
| 10) Solve the following. (26y2 - 14yo + 5o2) - (9y2 - 6yo - 7o2) Answer: 17y2 Answer: 12o2 - Answer: 8yo SOLUTION 1 : 26y2 - 14yo + 5o2 - 9y2 + 6yo + 7o2 = ( 26y2 - 9y2 ) + ( 5o2 + 7o2 ) + ( -14yo + 6yo ) = (26 - 9)y2 + (5 + 7)o2 + ( -14 + 6)yo = (17)y2 + (12)o2 + ( -8)yo = 17y2 + 12o2 - 8yo |