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. (18u2 - 19uf + 13f2) - (2u2 - 7uf - 20f2) u2 f2 - uf Answer:_______________ |
| 2) Solve the following. (28i2 - 15io + 15o2) - (2i2 - 5io - 9o2) i2 o2 - io Answer:_______________ |
| 3) Solve the following. (22j2 - 18jv + 12v2) - (7j2 - 6jv - 3v2) j2 v2 - jv Answer:_______________ |
| 4) Solve the following. (15a2 - 25au + 14u2) - (7a2 - 2au - 19u2) a2 u2 - au Answer:_______________ |
| 5) Solve the following. (21x2 - 18xi + 10i2) - (3x2 - 6xi - 15i2) x2 i2 - xi Answer:_______________ |
| 6) Solve the following. (12a2 - 12av + 6v2) - (1a2 - 8av - 9v2) a2 v2 - av Answer:_______________ |
| 7) Solve the following. (21z2 - 24zw + 14w2) - (2z2 - 8zw - 22w2) z2 w2 - zw Answer:_______________ |
| 8) Solve the following. (12h2 - 25hg + 8g2) - (2h2 - 8hg - 23g2) h2 g2 - hg Answer:_______________ |
| 9) Solve the following. (13t2 - 17tc + 12c2) - (7t2 - 3tc - 21c2) ___c2 - tc Answer:_______________ |
| 10) Solve the following. (24r2 - 15rz + 7z2) - (7r2 - 4rz - 8z2) r2 z2 - rz Answer:_______________ |
| 1) Solve the following. (18m2 - 19mw + 13w2) - (2m2 - 7mw - 20w2) Answer: 16m2 Answer: 33w2 - Answer: 12mw SOLUTION 1 : 18m2 - 19mw + 13w2 - 2m2 + 7mw + 20w2 = ( 18m2 - 2m2 ) + ( 13w2 + 20w2 ) + ( -19mw + 7mw ) = (18 - 2)m2 + (13 + 20)w2 + ( -19 + 7)mw = (16)m2 + (33)w2 + ( -12)mw = 16m2 + 33w2 - 12mw |
| 2) Solve the following. (28v2 - 15vy + 15y2) - (2v2 - 5vy - 9y2) Answer: 26v2 Answer: 24y2 - Answer: 10vy SOLUTION 1 : 28v2 - 15vy + 15y2 - 2v2 + 5vy + 9y2 = ( 28v2 - 2v2 ) + ( 15y2 + 9y2 ) + ( -15vy + 5vy ) = (28 - 2)v2 + (15 + 9)y2 + ( -15 + 5)vy = (26)v2 + (24)y2 + ( -10)vy = 26v2 + 24y2 - 10vy |
| 3) Solve the following. (22n2 - 18nl + 12l2) - (7n2 - 6nl - 3l2) Answer: 15n2 Answer: 15l2 - Answer: 12nl SOLUTION 1 : 22n2 - 18nl + 12l2 - 7n2 + 6nl + 3l2 = ( 22n2 - 7n2 ) + ( 12l2 + 3l2 ) + ( -18nl + 6nl ) = (22 - 7)n2 + (12 + 3)l2 + ( -18 + 6)nl = (15)n2 + (15)l2 + ( -12)nl = 15n2 + 15l2 - 12nl |
| 4) Solve the following. (15c2 - 25cf + 14f2) - (7c2 - 2cf - 19f2) Answer: 8c2 Answer: 33f2 - Answer: 23cf SOLUTION 1 : 15c2 - 25cf + 14f2 - 7c2 + 2cf + 19f2 = ( 15c2 - 7c2 ) + ( 14f2 + 19f2 ) + ( -25cf + 2cf ) = (15 - 7)c2 + (14 + 19)f2 + ( -25 + 2)cf = (8)c2 + (33)f2 + ( -23)cf = 8c2 + 33f2 - 23cf |
| 5) Solve the following. (21p2 - 18pg + 10g2) - (3p2 - 6pg - 15g2) Answer: 18p2 Answer: 25g2 - Answer: 12pg SOLUTION 1 : 21p2 - 18pg + 10g2 - 3p2 + 6pg + 15g2 = ( 21p2 - 3p2 ) + ( 10g2 + 15g2 ) + ( -18pg + 6pg ) = (21 - 3)p2 + (10 + 15)g2 + ( -18 + 6)pg = (18)p2 + (25)g2 + ( -12)pg = 18p2 + 25g2 - 12pg |
| 6) Solve the following. (12w2 - 12wn + 6n2) - (1w2 - 8wn - 9n2) Answer: 11w2 Answer: 15n2 - Answer: 4wn SOLUTION 1 : 12w2 - 12wn + 6n2 - 1w2 + 8wn + 9n2 = ( 12w2 - 1w2 ) + ( 6n2 + 9n2 ) + ( -12wn + 8wn ) = (12 - 1)w2 + (6 + 9)n2 + ( -12 + 8)wn = (11)w2 + (15)n2 + ( -4)wn = 11w2 + 15n2 - 4wn |
| 7) Solve the following. (21b2 - 24bs + 14s2) - (2b2 - 8bs - 22s2) Answer: 19b2 Answer: 36s2 - Answer: 16bs SOLUTION 1 : 21b2 - 24bs + 14s2 - 2b2 + 8bs + 22s2 = ( 21b2 - 2b2 ) + ( 14s2 + 22s2 ) + ( -24bs + 8bs ) = (21 - 2)b2 + (14 + 22)s2 + ( -24 + 8)bs = (19)b2 + (36)s2 + ( -16)bs = 19b2 + 36s2 - 16bs |
| 8) Solve the following. (12a2 - 25at + 8t2) - (2a2 - 8at - 23t2) Answer: 10a2 Answer: 31t2 - Answer: 17at SOLUTION 1 : 12a2 - 25at + 8t2 - 2a2 + 8at + 23t2 = ( 12a2 - 2a2 ) + ( 8t2 + 23t2 ) + ( -25at + 8at ) = (12 - 2)a2 + (8 + 23)t2 + ( -25 + 8)at = (10)a2 + (31)t2 + ( -17)at = 10a2 + 31t2 - 17at |
| 9) Solve the following. (13o2 - 17os + 12s2) - (7o2 - 3os - 21s2) Answer: 6o2 Answer: 33s2 - Answer: 14os SOLUTION 1 : 13o2 - 17os + 12s2 - 7o2 + 3os + 21s2 = ( 13o2 - 7o2 ) + ( 12s2 + 21s2 ) + ( -17os + 3os ) = (13 - 7)o2 + (12 + 21)s2 + ( -17 + 3)os = (6)o2 + (33)s2 + ( -14)os = 6o2 + 33s2 - 14os |
| 10) Solve the following. (24u2 - 15uz + 7z2) - (7u2 - 4uz - 8z2) Answer: 17u2 Answer: 15z2 - Answer: 11uz SOLUTION 1 : 24u2 - 15uz + 7z2 - 7u2 + 4uz + 8z2 = ( 24u2 - 7u2 ) + ( 7z2 + 8z2 ) + ( -15uz + 4uz ) = (24 - 7)u2 + (7 + 8)z2 + ( -15 + 4)uz = (17)u2 + (15)z2 + ( -11)uz = 17u2 + 15z2 - 11uz |