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. (15u2 - 22ur + 11r2) - (8u2 - 8ur - 7r2) u2 r2 - ur Answer:_______________ |
| 2) Solve the following. (17v2 - 24vt + 8t2) - (7v2 - 5vt - 25t2) v2 t2 - vt Answer:_______________ |
| 3) Solve the following. (14n2 - 13ns + 16s2) - (1n2 - 2ns - 10s2) n2 s2 - ns Answer:_______________ |
| 4) Solve the following. (25l2 - 18lg + 11g2) - (9l2 - 7lg - 7g2) l2 g2 - lg Answer:_______________ |
| 5) Solve the following. (15d2 - 25dv + 14v2) - (3d2 - 7dv - 7v2) d2 v2 - dv Answer:_______________ |
| 6) Solve the following. (17c2 - 18ci + 18i2) - (1c2 - 4ci - 22i2) ___c2 ___ci Answer:_______________ |
| 7) Solve the following. (20v2 - 24vn + 11n2) - (8v2 - 4vn - 6n2) v2 n2 - vn Answer:_______________ |
| 8) Solve the following. (18u2 - 17uj + 14j2) - (4u2 - 5uj - 21j2) u2 j2 - uj Answer:_______________ |
| 9) Solve the following. (16p2 - 25pi + 19i2) - (1p2 - 9pi - 11i2) p2 i2 - pi Answer:_______________ |
| 10) Solve the following. (17h2 - 17he + 14e2) - (6h2 - 8he - 16e2) h2 e2 - he Answer:_______________ |
| 1) Solve the following. (15q2 - 22qu + 11u2) - (8q2 - 8qu - 7u2) Answer: 7q2 Answer: 18u2 - Answer: 14qu SOLUTION 1 : 15q2 - 22qu + 11u2 - 8q2 + 8qu + 7u2 = ( 15q2 - 8q2 ) + ( 11u2 + 7u2 ) + ( -22qu + 8qu ) = (15 - 8)q2 + (11 + 7)u2 + ( -22 + 8)qu = (7)q2 + (18)u2 + ( -14)qu = 7q2 + 18u2 - 14qu |
| 2) Solve the following. (17j2 - 24ju + 8u2) - (7j2 - 5ju - 25u2) Answer: 10j2 Answer: 33u2 - Answer: 19ju SOLUTION 1 : 17j2 - 24ju + 8u2 - 7j2 + 5ju + 25u2 = ( 17j2 - 7j2 ) + ( 8u2 + 25u2 ) + ( -24ju + 5ju ) = (17 - 7)j2 + (8 + 25)u2 + ( -24 + 5)ju = (10)j2 + (33)u2 + ( -19)ju = 10j2 + 33u2 - 19ju |
| 3) Solve the following. (14q2 - 13qh + 16h2) - (1q2 - 2qh - 10h2) Answer: 13q2 Answer: 26h2 - Answer: 11qh SOLUTION 1 : 14q2 - 13qh + 16h2 - 1q2 + 2qh + 10h2 = ( 14q2 - 1q2 ) + ( 16h2 + 10h2 ) + ( -13qh + 2qh ) = (14 - 1)q2 + (16 + 10)h2 + ( -13 + 2)qh = (13)q2 + (26)h2 + ( -11)qh = 13q2 + 26h2 - 11qh |
| 4) Solve the following. (25z2 - 18zn + 11n2) - (9z2 - 7zn - 7n2) Answer: 16z2 Answer: 18n2 - Answer: 11zn SOLUTION 1 : 25z2 - 18zn + 11n2 - 9z2 + 7zn + 7n2 = ( 25z2 - 9z2 ) + ( 11n2 + 7n2 ) + ( -18zn + 7zn ) = (25 - 9)z2 + (11 + 7)n2 + ( -18 + 7)zn = (16)z2 + (18)n2 + ( -11)zn = 16z2 + 18n2 - 11zn |
| 5) Solve the following. (15t2 - 25tz + 14z2) - (3t2 - 7tz - 7z2) Answer: 12t2 Answer: 21z2 - Answer: 18tz SOLUTION 1 : 15t2 - 25tz + 14z2 - 3t2 + 7tz + 7z2 = ( 15t2 - 3t2 ) + ( 14z2 + 7z2 ) + ( -25tz + 7tz ) = (15 - 3)t2 + (14 + 7)z2 + ( -25 + 7)tz = (12)t2 + (21)z2 + ( -18)tz = 12t2 + 21z2 - 18tz |
| 6) Solve the following. (17e2 - 18ek + 18k2) - (1e2 - 4ek - 22k2) Answer: 16e2 Answer: 40k2 - Answer: 14ek SOLUTION 1 : 17e2 - 18ek + 18k2 - 1e2 + 4ek + 22k2 = ( 17e2 - 1e2 ) + ( 18k2 + 22k2 ) + ( -18ek + 4ek ) = (17 - 1)e2 + (18 + 22)k2 + ( -18 + 4)ek = (16)e2 + (40)k2 + ( -14)ek = 16e2 + 40k2 - 14ek |
| 7) Solve the following. (20b2 - 24bl + 11l2) - (8b2 - 4bl - 6l2) Answer: 12b2 Answer: 17l2 - Answer: 20bl SOLUTION 1 : 20b2 - 24bl + 11l2 - 8b2 + 4bl + 6l2 = ( 20b2 - 8b2 ) + ( 11l2 + 6l2 ) + ( -24bl + 4bl ) = (20 - 8)b2 + (11 + 6)l2 + ( -24 + 4)bl = (12)b2 + (17)l2 + ( -20)bl = 12b2 + 17l2 - 20bl |
| 8) Solve the following. (18j2 - 17ju + 14u2) - (4j2 - 5ju - 21u2) Answer: 14j2 Answer: 35u2 - Answer: 12ju SOLUTION 1 : 18j2 - 17ju + 14u2 - 4j2 + 5ju + 21u2 = ( 18j2 - 4j2 ) + ( 14u2 + 21u2 ) + ( -17ju + 5ju ) = (18 - 4)j2 + (14 + 21)u2 + ( -17 + 5)ju = (14)j2 + (35)u2 + ( -12)ju = 14j2 + 35u2 - 12ju |
| 9) Solve the following. (16d2 - 25do + 19o2) - (1d2 - 9do - 11o2) Answer: 15d2 Answer: 30o2 - Answer: 16do SOLUTION 1 : 16d2 - 25do + 19o2 - 1d2 + 9do + 11o2 = ( 16d2 - 1d2 ) + ( 19o2 + 11o2 ) + ( -25do + 9do ) = (16 - 1)d2 + (19 + 11)o2 + ( -25 + 9)do = (15)d2 + (30)o2 + ( -16)do = 15d2 + 30o2 - 16do |
| 10) Solve the following. (17i2 - 17iv + 14v2) - (6i2 - 8iv - 16v2) Answer: 11i2 Answer: 30v2 - Answer: 9iv SOLUTION 1 : 17i2 - 17iv + 14v2 - 6i2 + 8iv + 16v2 = ( 17i2 - 6i2 ) + ( 14v2 + 16v2 ) + ( -17iv + 8iv ) = (17 - 6)i2 + (14 + 16)v2 + ( -17 + 8)iv = (11)i2 + (30)v2 + ( -9)iv = 11i2 + 30v2 - 9iv |