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. (26z2 - 15zs + 14s2) - (9z2 - 9zs - 22s2) z2 s2 - zs Answer:_______________ |
| 2) Solve the following. (17g2 - 13gw + 14w2) - (2g2 - 6gw - 9w2) g2 w2 - gw Answer:_______________ |
| 3) Solve the following. (24p2 - 24pi + 18i2) - (7p2 - 8pi - 21i2) p2 i2 - pi Answer:_______________ |
| 4) Solve the following. (11f2 - 12fc + 11c2) - (1f2 - 2fc - 24c2) ___c2 - fc Answer:_______________ |
| 5) Solve the following. (25u2 - 21ur + 11r2) - (6u2 - 4ur - 12r2) u2 r2 - ur Answer:_______________ |
| 6) Solve the following. (21k2 - 22kc + 14c2) - (3k2 - 3kc - 13c2) ___c2 - kc Answer:_______________ |
| 7) Solve the following. (18u2 - 17um + 12m2) - (6u2 - 5um - 5m2) ___m2 - um Answer:_______________ |
| 8) Solve the following. (26x2 - 12xr + 9r2) - (2x2 - 6xr - 25r2) x2 r2 - xr Answer:_______________ |
| 9) Solve the following. (23o2 - 15ok + 10k2) - (9o2 - 9ok - 17k2) o2 k2 - ok Answer:_______________ |
| 10) Solve the following. (18s2 - 18sp + 12p2) - (7s2 - 5sp - 10p2) s2 p2 - sp Answer:_______________ |
| 1) Solve the following. (26j2 - 15jh + 14h2) - (9j2 - 9jh - 22h2) Answer: 17j2 Answer: 36h2 - Answer: 6jh SOLUTION 1 : 26j2 - 15jh + 14h2 - 9j2 + 9jh + 22h2 = ( 26j2 - 9j2 ) + ( 14h2 + 22h2 ) + ( -15jh + 9jh ) = (26 - 9)j2 + (14 + 22)h2 + ( -15 + 9)jh = (17)j2 + (36)h2 + ( -6)jh = 17j2 + 36h2 - 6jh |
| 2) Solve the following. (17h2 - 13hs + 14s2) - (2h2 - 6hs - 9s2) Answer: 15h2 Answer: 23s2 - Answer: 7hs SOLUTION 1 : 17h2 - 13hs + 14s2 - 2h2 + 6hs + 9s2 = ( 17h2 - 2h2 ) + ( 14s2 + 9s2 ) + ( -13hs + 6hs ) = (17 - 2)h2 + (14 + 9)s2 + ( -13 + 6)hs = (15)h2 + (23)s2 + ( -7)hs = 15h2 + 23s2 - 7hs |
| 3) Solve the following. (24i2 - 24ib + 18b2) - (7i2 - 8ib - 21b2) Answer: 17i2 Answer: 39b2 - Answer: 16ib SOLUTION 1 : 24i2 - 24ib + 18b2 - 7i2 + 8ib + 21b2 = ( 24i2 - 7i2 ) + ( 18b2 + 21b2 ) + ( -24ib + 8ib ) = (24 - 7)i2 + (18 + 21)b2 + ( -24 + 8)ib = (17)i2 + (39)b2 + ( -16)ib = 17i2 + 39b2 - 16ib |
| 4) Solve the following. (11q2 - 12qt + 11t2) - (1q2 - 2qt - 24t2) Answer: 10q2 Answer: 35t2 - Answer: 10qt SOLUTION 1 : 11q2 - 12qt + 11t2 - 1q2 + 2qt + 24t2 = ( 11q2 - 1q2 ) + ( 11t2 + 24t2 ) + ( -12qt + 2qt ) = (11 - 1)q2 + (11 + 24)t2 + ( -12 + 2)qt = (10)q2 + (35)t2 + ( -10)qt = 10q2 + 35t2 - 10qt |
| 5) Solve the following. (25u2 - 21up + 11p2) - (6u2 - 4up - 12p2) Answer: 19u2 Answer: 23p2 - Answer: 17up SOLUTION 1 : 25u2 - 21up + 11p2 - 6u2 + 4up + 12p2 = ( 25u2 - 6u2 ) + ( 11p2 + 12p2 ) + ( -21up + 4up ) = (25 - 6)u2 + (11 + 12)p2 + ( -21 + 4)up = (19)u2 + (23)p2 + ( -17)up = 19u2 + 23p2 - 17up |
| 6) Solve the following. (21r2 - 22rn + 14n2) - (3r2 - 3rn - 13n2) Answer: 18r2 Answer: 27n2 - Answer: 19rn SOLUTION 1 : 21r2 - 22rn + 14n2 - 3r2 + 3rn + 13n2 = ( 21r2 - 3r2 ) + ( 14n2 + 13n2 ) + ( -22rn + 3rn ) = (21 - 3)r2 + (14 + 13)n2 + ( -22 + 3)rn = (18)r2 + (27)n2 + ( -19)rn = 18r2 + 27n2 - 19rn |
| 7) Solve the following. (18g2 - 17gl + 12l2) - (6g2 - 5gl - 5l2) Answer: 12g2 Answer: 17l2 - Answer: 12gl SOLUTION 1 : 18g2 - 17gl + 12l2 - 6g2 + 5gl + 5l2 = ( 18g2 - 6g2 ) + ( 12l2 + 5l2 ) + ( -17gl + 5gl ) = (18 - 6)g2 + (12 + 5)l2 + ( -17 + 5)gl = (12)g2 + (17)l2 + ( -12)gl = 12g2 + 17l2 - 12gl |
| 8) Solve the following. (26f2 - 12fz + 9z2) - (2f2 - 6fz - 25z2) Answer: 24f2 Answer: 34z2 - Answer: 6fz SOLUTION 1 : 26f2 - 12fz + 9z2 - 2f2 + 6fz + 25z2 = ( 26f2 - 2f2 ) + ( 9z2 + 25z2 ) + ( -12fz + 6fz ) = (26 - 2)f2 + (9 + 25)z2 + ( -12 + 6)fz = (24)f2 + (34)z2 + ( -6)fz = 24f2 + 34z2 - 6fz |
| 9) Solve the following. (23t2 - 15tu + 10u2) - (9t2 - 9tu - 17u2) Answer: 14t2 Answer: 27u2 - Answer: 6tu SOLUTION 1 : 23t2 - 15tu + 10u2 - 9t2 + 9tu + 17u2 = ( 23t2 - 9t2 ) + ( 10u2 + 17u2 ) + ( -15tu + 9tu ) = (23 - 9)t2 + (10 + 17)u2 + ( -15 + 9)tu = (14)t2 + (27)u2 + ( -6)tu = 14t2 + 27u2 - 6tu |
| 10) Solve the following. (18x2 - 18xe + 12e2) - (7x2 - 5xe - 10e2) Answer: 11x2 Answer: 22e2 - Answer: 13xe SOLUTION 1 : 18x2 - 18xe + 12e2 - 7x2 + 5xe + 10e2 = ( 18x2 - 7x2 ) + ( 12e2 + 10e2 ) + ( -18xe + 5xe ) = (18 - 7)x2 + (12 + 10)e2 + ( -18 + 5)xe = (11)x2 + (22)e2 + ( -13)xe = 11x2 + 22e2 - 13xe |