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. (17c2 - 24cs + 13s2) - (3c2 - 7cs - 13s2) ___c2 ___cs Answer:_______________ |
| 2) Solve the following. (16b2 - 20ba + 11a2) - (2b2 - 7ba - 22a2) b2 a2 - ba Answer:_______________ |
| 3) Solve the following. (17t2 - 15ta + 16a2) - (3t2 - 6ta - 17a2) t2 a2 - ta Answer:_______________ |
| 4) Solve the following. (18u2 - 13uq + 16q2) - (9u2 - 8uq - 8q2) u2 q2 - uq Answer:_______________ |
| 5) Solve the following. (12b2 - 23bm + 9m2) - (4b2 - 2bm - 12m2) ___m2 - bm Answer:_______________ |
| 6) Solve the following. (25p2 - 18pk + 11k2) - (5p2 - 9pk - 3k2) p2 k2 - pk Answer:_______________ |
| 7) Solve the following. (28w2 - 22ws + 17s2) - (5w2 - 6ws - 6s2) w2 s2 - ws Answer:_______________ |
| 8) Solve the following. (25g2 - 22gc + 12c2) - (7g2 - 8gc - 22c2) ___c2 - gc Answer:_______________ |
| 9) Solve the following. (26b2 - 15ba + 12a2) - (9b2 - 6ba - 12a2) b2 a2 - ba Answer:_______________ |
| 10) Solve the following. (24s2 - 21si + 7i2) - (4s2 - 9si - 25i2) s2 i2 - si Answer:_______________ |
| 1) Solve the following. (17l2 - 24lt + 13t2) - (3l2 - 7lt - 13t2) Answer: 14l2 Answer: 26t2 - Answer: 17lt SOLUTION 1 : 17l2 - 24lt + 13t2 - 3l2 + 7lt + 13t2 = ( 17l2 - 3l2 ) + ( 13t2 + 13t2 ) + ( -24lt + 7lt ) = (17 - 3)l2 + (13 + 13)t2 + ( -24 + 7)lt = (14)l2 + (26)t2 + ( -17)lt = 14l2 + 26t2 - 17lt |
| 2) Solve the following. (16z2 - 20zy + 11y2) - (2z2 - 7zy - 22y2) Answer: 14z2 Answer: 33y2 - Answer: 13zy SOLUTION 1 : 16z2 - 20zy + 11y2 - 2z2 + 7zy + 22y2 = ( 16z2 - 2z2 ) + ( 11y2 + 22y2 ) + ( -20zy + 7zy ) = (16 - 2)z2 + (11 + 22)y2 + ( -20 + 7)zy = (14)z2 + (33)y2 + ( -13)zy = 14z2 + 33y2 - 13zy |
| 3) Solve the following. (17f2 - 15fe + 16e2) - (3f2 - 6fe - 17e2) Answer: 14f2 Answer: 33e2 - Answer: 9fe SOLUTION 1 : 17f2 - 15fe + 16e2 - 3f2 + 6fe + 17e2 = ( 17f2 - 3f2 ) + ( 16e2 + 17e2 ) + ( -15fe + 6fe ) = (17 - 3)f2 + (16 + 17)e2 + ( -15 + 6)fe = (14)f2 + (33)e2 + ( -9)fe = 14f2 + 33e2 - 9fe |
| 4) Solve the following. (18u2 - 13ut + 16t2) - (9u2 - 8ut - 8t2) Answer: 9u2 Answer: 24t2 - Answer: 5ut SOLUTION 1 : 18u2 - 13ut + 16t2 - 9u2 + 8ut + 8t2 = ( 18u2 - 9u2 ) + ( 16t2 + 8t2 ) + ( -13ut + 8ut ) = (18 - 9)u2 + (16 + 8)t2 + ( -13 + 8)ut = (9)u2 + (24)t2 + ( -5)ut = 9u2 + 24t2 - 5ut |
| 5) Solve the following. (12a2 - 23aj + 9j2) - (4a2 - 2aj - 12j2) Answer: 8a2 Answer: 21j2 - Answer: 21aj SOLUTION 1 : 12a2 - 23aj + 9j2 - 4a2 + 2aj + 12j2 = ( 12a2 - 4a2 ) + ( 9j2 + 12j2 ) + ( -23aj + 2aj ) = (12 - 4)a2 + (9 + 12)j2 + ( -23 + 2)aj = (8)a2 + (21)j2 + ( -21)aj = 8a2 + 21j2 - 21aj |
| 6) Solve the following. (25n2 - 18ny + 11y2) - (5n2 - 9ny - 3y2) Answer: 20n2 Answer: 14y2 - Answer: 9ny SOLUTION 1 : 25n2 - 18ny + 11y2 - 5n2 + 9ny + 3y2 = ( 25n2 - 5n2 ) + ( 11y2 + 3y2 ) + ( -18ny + 9ny ) = (25 - 5)n2 + (11 + 3)y2 + ( -18 + 9)ny = (20)n2 + (14)y2 + ( -9)ny = 20n2 + 14y2 - 9ny |
| 7) Solve the following. (28f2 - 22fd + 17d2) - (5f2 - 6fd - 6d2) Answer: 23f2 Answer: 23d2 - Answer: 16fd SOLUTION 1 : 28f2 - 22fd + 17d2 - 5f2 + 6fd + 6d2 = ( 28f2 - 5f2 ) + ( 17d2 + 6d2 ) + ( -22fd + 6fd ) = (28 - 5)f2 + (17 + 6)d2 + ( -22 + 6)fd = (23)f2 + (23)d2 + ( -16)fd = 23f2 + 23d2 - 16fd |
| 8) Solve the following. (25y2 - 22yx + 12x2) - (7y2 - 8yx - 22x2) Answer: 18y2 Answer: 34x2 - Answer: 14yx SOLUTION 1 : 25y2 - 22yx + 12x2 - 7y2 + 8yx + 22x2 = ( 25y2 - 7y2 ) + ( 12x2 + 22x2 ) + ( -22yx + 8yx ) = (25 - 7)y2 + (12 + 22)x2 + ( -22 + 8)yx = (18)y2 + (34)x2 + ( -14)yx = 18y2 + 34x2 - 14yx |
| 9) Solve the following. (26f2 - 15fr + 12r2) - (9f2 - 6fr - 12r2) Answer: 17f2 Answer: 24r2 - Answer: 9fr SOLUTION 1 : 26f2 - 15fr + 12r2 - 9f2 + 6fr + 12r2 = ( 26f2 - 9f2 ) + ( 12r2 + 12r2 ) + ( -15fr + 6fr ) = (26 - 9)f2 + (12 + 12)r2 + ( -15 + 6)fr = (17)f2 + (24)r2 + ( -9)fr = 17f2 + 24r2 - 9fr |
| 10) Solve the following. (24u2 - 21uq + 7q2) - (4u2 - 9uq - 25q2) Answer: 20u2 Answer: 32q2 - Answer: 12uq SOLUTION 1 : 24u2 - 21uq + 7q2 - 4u2 + 9uq + 25q2 = ( 24u2 - 4u2 ) + ( 7q2 + 25q2 ) + ( -21uq + 9uq ) = (24 - 4)u2 + (7 + 25)q2 + ( -21 + 9)uq = (20)u2 + (32)q2 + ( -12)uq = 20u2 + 32q2 - 12uq |