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. (11f2 - 16fx + 12x2) - (4f2 - 7fx - 22x2) f2 x2 - fx Answer:_______________ |
| 2) Solve the following. (25b2 - 13bj + 13j2) - (6b2 - 2bj - 7j2) b2 j2 - bj Answer:_______________ |
| 3) Solve the following. (23x2 - 13xi + 5i2) - (4x2 - 5xi - 22i2) x2 i2 - xi Answer:_______________ |
| 4) Solve the following. (26g2 - 23gq + 6q2) - (2g2 - 6gq - 5q2) g2 q2 - gq Answer:_______________ |
| 5) Solve the following. (17s2 - 21sr + 12r2) - (4s2 - 9sr - 6r2) s2 r2 - sr Answer:_______________ |
| 6) Solve the following. (23x2 - 25xs + 10s2) - (7x2 - 5xs - 25s2) x2 s2 - xs Answer:_______________ |
| 7) Solve the following. (15p2 - 14pw + 10w2) - (9p2 - 2pw - 7w2) p2 w2 - pw Answer:_______________ |
| 8) Solve the following. (16r2 - 25rl + 17l2) - (6r2 - 2rl - 9l2) r2 l2 - rl Answer:_______________ |
| 9) Solve the following. (28v2 - 17vr + 18r2) - (3v2 - 9vr - 14r2) v2 r2 - vr Answer:_______________ |
| 10) Solve the following. (19c2 - 24cz + 7z2) - (3c2 - 8cz - 8z2) ___c2 ___cz Answer:_______________ |
| 1) Solve the following. (11o2 - 16oj + 12j2) - (4o2 - 7oj - 22j2) Answer: 7o2 Answer: 34j2 - Answer: 9oj SOLUTION 1 : 11o2 - 16oj + 12j2 - 4o2 + 7oj + 22j2 = ( 11o2 - 4o2 ) + ( 12j2 + 22j2 ) + ( -16oj + 7oj ) = (11 - 4)o2 + (12 + 22)j2 + ( -16 + 7)oj = (7)o2 + (34)j2 + ( -9)oj = 7o2 + 34j2 - 9oj |
| 2) Solve the following. (25t2 - 13tj + 13j2) - (6t2 - 2tj - 7j2) Answer: 19t2 Answer: 20j2 - Answer: 11tj SOLUTION 1 : 25t2 - 13tj + 13j2 - 6t2 + 2tj + 7j2 = ( 25t2 - 6t2 ) + ( 13j2 + 7j2 ) + ( -13tj + 2tj ) = (25 - 6)t2 + (13 + 7)j2 + ( -13 + 2)tj = (19)t2 + (20)j2 + ( -11)tj = 19t2 + 20j2 - 11tj |
| 3) Solve the following. (23m2 - 13ma + 5a2) - (4m2 - 5ma - 22a2) Answer: 19m2 Answer: 27a2 - Answer: 8ma SOLUTION 1 : 23m2 - 13ma + 5a2 - 4m2 + 5ma + 22a2 = ( 23m2 - 4m2 ) + ( 5a2 + 22a2 ) + ( -13ma + 5ma ) = (23 - 4)m2 + (5 + 22)a2 + ( -13 + 5)ma = (19)m2 + (27)a2 + ( -8)ma = 19m2 + 27a2 - 8ma |
| 4) Solve the following. (26k2 - 23kf + 6f2) - (2k2 - 6kf - 5f2) Answer: 24k2 Answer: 11f2 - Answer: 17kf SOLUTION 1 : 26k2 - 23kf + 6f2 - 2k2 + 6kf + 5f2 = ( 26k2 - 2k2 ) + ( 6f2 + 5f2 ) + ( -23kf + 6kf ) = (26 - 2)k2 + (6 + 5)f2 + ( -23 + 6)kf = (24)k2 + (11)f2 + ( -17)kf = 24k2 + 11f2 - 17kf |
| 5) Solve the following. (17h2 - 21hj + 12j2) - (4h2 - 9hj - 6j2) Answer: 13h2 Answer: 18j2 - Answer: 12hj SOLUTION 1 : 17h2 - 21hj + 12j2 - 4h2 + 9hj + 6j2 = ( 17h2 - 4h2 ) + ( 12j2 + 6j2 ) + ( -21hj + 9hj ) = (17 - 4)h2 + (12 + 6)j2 + ( -21 + 9)hj = (13)h2 + (18)j2 + ( -12)hj = 13h2 + 18j2 - 12hj |
| 6) Solve the following. (23d2 - 25dq + 10q2) - (7d2 - 5dq - 25q2) Answer: 16d2 Answer: 35q2 - Answer: 20dq SOLUTION 1 : 23d2 - 25dq + 10q2 - 7d2 + 5dq + 25q2 = ( 23d2 - 7d2 ) + ( 10q2 + 25q2 ) + ( -25dq + 5dq ) = (23 - 7)d2 + (10 + 25)q2 + ( -25 + 5)dq = (16)d2 + (35)q2 + ( -20)dq = 16d2 + 35q2 - 20dq |
| 7) Solve the following. (15x2 - 14xc + 10c2) - (9x2 - 2xc - 7c2) Answer: 6x2 Answer: 17c2 - Answer: 12xc SOLUTION 1 : 15x2 - 14xc + 10c2 - 9x2 + 2xc + 7c2 = ( 15x2 - 9x2 ) + ( 10c2 + 7c2 ) + ( -14xc + 2xc ) = (15 - 9)x2 + (10 + 7)c2 + ( -14 + 2)xc = (6)x2 + (17)c2 + ( -12)xc = 6x2 + 17c2 - 12xc |
| 8) Solve the following. (16u2 - 25ur + 17r2) - (6u2 - 2ur - 9r2) Answer: 10u2 Answer: 26r2 - Answer: 23ur SOLUTION 1 : 16u2 - 25ur + 17r2 - 6u2 + 2ur + 9r2 = ( 16u2 - 6u2 ) + ( 17r2 + 9r2 ) + ( -25ur + 2ur ) = (16 - 6)u2 + (17 + 9)r2 + ( -25 + 2)ur = (10)u2 + (26)r2 + ( -23)ur = 10u2 + 26r2 - 23ur |
| 9) Solve the following. (28v2 - 17vd + 18d2) - (3v2 - 9vd - 14d2) Answer: 25v2 Answer: 32d2 - Answer: 8vd SOLUTION 1 : 28v2 - 17vd + 18d2 - 3v2 + 9vd + 14d2 = ( 28v2 - 3v2 ) + ( 18d2 + 14d2 ) + ( -17vd + 9vd ) = (28 - 3)v2 + (18 + 14)d2 + ( -17 + 9)vd = (25)v2 + (32)d2 + ( -8)vd = 25v2 + 32d2 - 8vd |
| 10) Solve the following. (19y2 - 24yn + 7n2) - (3y2 - 8yn - 8n2) Answer: 16y2 Answer: 15n2 - Answer: 16yn SOLUTION 1 : 19y2 - 24yn + 7n2 - 3y2 + 8yn + 8n2 = ( 19y2 - 3y2 ) + ( 7n2 + 8n2 ) + ( -24yn + 8yn ) = (19 - 3)y2 + (7 + 8)n2 + ( -24 + 8)yn = (16)y2 + (15)n2 + ( -16)yn = 16y2 + 15n2 - 16yn |