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. (12r2 - 13rd + 12d2) - (6r2 - 7rd - 18d2) r2 d2 - rd Answer:_______________ |
| 2) Solve the following. (28v2 - 19vi + 17i2) - (8v2 - 3vi - 3i2) v2 i2 - vi Answer:_______________ |
| 3) Solve the following. (26y2 - 19yw + 19w2) - (5y2 - 6yw - 25w2) y2 w2 - yw Answer:_______________ |
| 4) Solve the following. (12k2 - 16kc + 19c2) - (1k2 - 7kc - 15c2) ___c2 - kc Answer:_______________ |
| 5) Solve the following. (12v2 - 23vh + 19h2) - (9v2 - 7vh - 3h2) v2 h2 - vh Answer:_______________ |
| 6) Solve the following. (15g2 - 18gc + 17c2) - (2g2 - 3gc - 18c2) ___c2 - gc Answer:_______________ |
| 7) Solve the following. (27n2 - 21np + 10p2) - (6n2 - 5np - 22p2) n2 p2 - np Answer:_______________ |
| 8) Solve the following. (12o2 - 25oq + 11q2) - (7o2 - 7oq - 16q2) o2 q2 - oq Answer:_______________ |
| 9) Solve the following. (23b2 - 25bg + 14g2) - (6b2 - 8bg - 17g2) b2 g2 - bg Answer:_______________ |
| 10) Solve the following. (17e2 - 13eh + 4h2) - (8e2 - 9eh - 13h2) e2 h2 - eh Answer:_______________ |
| 1) Solve the following. (12w2 - 13wx + 12x2) - (6w2 - 7wx - 18x2) Answer: 6w2 Answer: 30x2 - Answer: 6wx SOLUTION 1 : 12w2 - 13wx + 12x2 - 6w2 + 7wx + 18x2 = ( 12w2 - 6w2 ) + ( 12x2 + 18x2 ) + ( -13wx + 7wx ) = (12 - 6)w2 + (12 + 18)x2 + ( -13 + 7)wx = (6)w2 + (30)x2 + ( -6)wx = 6w2 + 30x2 - 6wx |
| 2) Solve the following. (28t2 - 19tq + 17q2) - (8t2 - 3tq - 3q2) Answer: 20t2 Answer: 20q2 - Answer: 16tq SOLUTION 1 : 28t2 - 19tq + 17q2 - 8t2 + 3tq + 3q2 = ( 28t2 - 8t2 ) + ( 17q2 + 3q2 ) + ( -19tq + 3tq ) = (28 - 8)t2 + (17 + 3)q2 + ( -19 + 3)tq = (20)t2 + (20)q2 + ( -16)tq = 20t2 + 20q2 - 16tq |
| 3) Solve the following. (26a2 - 19as + 19s2) - (5a2 - 6as - 25s2) Answer: 21a2 Answer: 44s2 - Answer: 13as SOLUTION 1 : 26a2 - 19as + 19s2 - 5a2 + 6as + 25s2 = ( 26a2 - 5a2 ) + ( 19s2 + 25s2 ) + ( -19as + 6as ) = (26 - 5)a2 + (19 + 25)s2 + ( -19 + 6)as = (21)a2 + (44)s2 + ( -13)as = 21a2 + 44s2 - 13as |
| 4) Solve the following. (12p2 - 16py + 19y2) - (1p2 - 7py - 15y2) Answer: 11p2 Answer: 34y2 - Answer: 9py SOLUTION 1 : 12p2 - 16py + 19y2 - 1p2 + 7py + 15y2 = ( 12p2 - 1p2 ) + ( 19y2 + 15y2 ) + ( -16py + 7py ) = (12 - 1)p2 + (19 + 15)y2 + ( -16 + 7)py = (11)p2 + (34)y2 + ( -9)py = 11p2 + 34y2 - 9py |
| 5) Solve the following. (12x2 - 23xp + 19p2) - (9x2 - 7xp - 3p2) Answer: 3x2 Answer: 22p2 - Answer: 16xp SOLUTION 1 : 12x2 - 23xp + 19p2 - 9x2 + 7xp + 3p2 = ( 12x2 - 9x2 ) + ( 19p2 + 3p2 ) + ( -23xp + 7xp ) = (12 - 9)x2 + (19 + 3)p2 + ( -23 + 7)xp = (3)x2 + (22)p2 + ( -16)xp = 3x2 + 22p2 - 16xp |
| 6) Solve the following. (15y2 - 18yc + 17c2) - (2y2 - 3yc - 18c2) Answer: 13y2 Answer: 35c2 - Answer: 15yc SOLUTION 1 : 15y2 - 18yc + 17c2 - 2y2 + 3yc + 18c2 = ( 15y2 - 2y2 ) + ( 17c2 + 18c2 ) + ( -18yc + 3yc ) = (15 - 2)y2 + (17 + 18)c2 + ( -18 + 3)yc = (13)y2 + (35)c2 + ( -15)yc = 13y2 + 35c2 - 15yc |
| 7) Solve the following. (27v2 - 21vu + 10u2) - (6v2 - 5vu - 22u2) Answer: 21v2 Answer: 32u2 - Answer: 16vu SOLUTION 1 : 27v2 - 21vu + 10u2 - 6v2 + 5vu + 22u2 = ( 27v2 - 6v2 ) + ( 10u2 + 22u2 ) + ( -21vu + 5vu ) = (27 - 6)v2 + (10 + 22)u2 + ( -21 + 5)vu = (21)v2 + (32)u2 + ( -16)vu = 21v2 + 32u2 - 16vu |
| 8) Solve the following. (12p2 - 25pn + 11n2) - (7p2 - 7pn - 16n2) Answer: 5p2 Answer: 27n2 - Answer: 18pn SOLUTION 1 : 12p2 - 25pn + 11n2 - 7p2 + 7pn + 16n2 = ( 12p2 - 7p2 ) + ( 11n2 + 16n2 ) + ( -25pn + 7pn ) = (12 - 7)p2 + (11 + 16)n2 + ( -25 + 7)pn = (5)p2 + (27)n2 + ( -18)pn = 5p2 + 27n2 - 18pn |
| 9) Solve the following. (23f2 - 25ft + 14t2) - (6f2 - 8ft - 17t2) Answer: 17f2 Answer: 31t2 - Answer: 17ft SOLUTION 1 : 23f2 - 25ft + 14t2 - 6f2 + 8ft + 17t2 = ( 23f2 - 6f2 ) + ( 14t2 + 17t2 ) + ( -25ft + 8ft ) = (23 - 6)f2 + (14 + 17)t2 + ( -25 + 8)ft = (17)f2 + (31)t2 + ( -17)ft = 17f2 + 31t2 - 17ft |
| 10) Solve the following. (17g2 - 13gz + 4z2) - (8g2 - 9gz - 13z2) Answer: 9g2 Answer: 17z2 - Answer: 4gz SOLUTION 1 : 17g2 - 13gz + 4z2 - 8g2 + 9gz + 13z2 = ( 17g2 - 8g2 ) + ( 4z2 + 13z2 ) + ( -13gz + 9gz ) = (17 - 8)g2 + (4 + 13)z2 + ( -13 + 9)gz = (9)g2 + (17)z2 + ( -4)gz = 9g2 + 17z2 - 4gz |