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. (15n2 - 17nr + 8r2) - (1n2 - 5nr - 6r2) n2 r2 - nr Answer:_______________ |
| 2) Solve the following. (20k2 - 14kl + 7l2) - (8k2 - 6kl - 9l2) k2 l2 - kl Answer:_______________ |
| 3) Solve the following. (24m2 - 16mv + 8v2) - (7m2 - 6mv - 9v2) ___m2 ___mv Answer:_______________ |
| 4) Solve the following. (18r2 - 22rn + 14n2) - (3r2 - 2rn - 25n2) r2 n2 - rn Answer:_______________ |
| 5) Solve the following. (27l2 - 19li + 7i2) - (8l2 - 9li - 11i2) l2 i2 - li Answer:_______________ |
| 6) Solve the following. (14t2 - 17tk + 10k2) - (1t2 - 2tk - 9k2) t2 k2 - tk Answer:_______________ |
| 7) Solve the following. (19m2 - 14ml + 4l2) - (5m2 - 7ml - 5l2) ___m2 ___ml Answer:_______________ |
| 8) Solve the following. (14x2 - 24xp + 13p2) - (5x2 - 9xp - 20p2) x2 p2 - xp Answer:_______________ |
| 9) Solve the following. (15d2 - 22dx + 8x2) - (2d2 - 6dx - 18x2) d2 x2 - dx Answer:_______________ |
| 10) Solve the following. (20z2 - 21zl + 15l2) - (2z2 - 6zl - 10l2) z2 l2 - zl Answer:_______________ |
| 1) Solve the following. (15j2 - 17jk + 8k2) - (1j2 - 5jk - 6k2) Answer: 14j2 Answer: 14k2 - Answer: 12jk SOLUTION 1 : 15j2 - 17jk + 8k2 - 1j2 + 5jk + 6k2 = ( 15j2 - 1j2 ) + ( 8k2 + 6k2 ) + ( -17jk + 5jk ) = (15 - 1)j2 + (8 + 6)k2 + ( -17 + 5)jk = (14)j2 + (14)k2 + ( -12)jk = 14j2 + 14k2 - 12jk |
| 2) Solve the following. (20p2 - 14pe + 7e2) - (8p2 - 6pe - 9e2) Answer: 12p2 Answer: 16e2 - Answer: 8pe SOLUTION 1 : 20p2 - 14pe + 7e2 - 8p2 + 6pe + 9e2 = ( 20p2 - 8p2 ) + ( 7e2 + 9e2 ) + ( -14pe + 6pe ) = (20 - 8)p2 + (7 + 9)e2 + ( -14 + 6)pe = (12)p2 + (16)e2 + ( -8)pe = 12p2 + 16e2 - 8pe |
| 3) Solve the following. (24n2 - 16nh + 8h2) - (7n2 - 6nh - 9h2) Answer: 17n2 Answer: 17h2 - Answer: 10nh SOLUTION 1 : 24n2 - 16nh + 8h2 - 7n2 + 6nh + 9h2 = ( 24n2 - 7n2 ) + ( 8h2 + 9h2 ) + ( -16nh + 6nh ) = (24 - 7)n2 + (8 + 9)h2 + ( -16 + 6)nh = (17)n2 + (17)h2 + ( -10)nh = 17n2 + 17h2 - 10nh |
| 4) Solve the following. (18k2 - 22kl + 14l2) - (3k2 - 2kl - 25l2) Answer: 15k2 Answer: 39l2 - Answer: 20kl SOLUTION 1 : 18k2 - 22kl + 14l2 - 3k2 + 2kl + 25l2 = ( 18k2 - 3k2 ) + ( 14l2 + 25l2 ) + ( -22kl + 2kl ) = (18 - 3)k2 + (14 + 25)l2 + ( -22 + 2)kl = (15)k2 + (39)l2 + ( -20)kl = 15k2 + 39l2 - 20kl |
| 5) Solve the following. (27r2 - 19rc + 7c2) - (8r2 - 9rc - 11c2) Answer: 19r2 Answer: 18c2 - Answer: 10rc SOLUTION 1 : 27r2 - 19rc + 7c2 - 8r2 + 9rc + 11c2 = ( 27r2 - 8r2 ) + ( 7c2 + 11c2 ) + ( -19rc + 9rc ) = (27 - 8)r2 + (7 + 11)c2 + ( -19 + 9)rc = (19)r2 + (18)c2 + ( -10)rc = 19r2 + 18c2 - 10rc |
| 6) Solve the following. (14t2 - 17tx + 10x2) - (1t2 - 2tx - 9x2) Answer: 13t2 Answer: 19x2 - Answer: 15tx SOLUTION 1 : 14t2 - 17tx + 10x2 - 1t2 + 2tx + 9x2 = ( 14t2 - 1t2 ) + ( 10x2 + 9x2 ) + ( -17tx + 2tx ) = (14 - 1)t2 + (10 + 9)x2 + ( -17 + 2)tx = (13)t2 + (19)x2 + ( -15)tx = 13t2 + 19x2 - 15tx |
| 7) Solve the following. (19i2 - 14ie + 4e2) - (5i2 - 7ie - 5e2) Answer: 14i2 Answer: 9e2 - Answer: 7ie SOLUTION 1 : 19i2 - 14ie + 4e2 - 5i2 + 7ie + 5e2 = ( 19i2 - 5i2 ) + ( 4e2 + 5e2 ) + ( -14ie + 7ie ) = (19 - 5)i2 + (4 + 5)e2 + ( -14 + 7)ie = (14)i2 + (9)e2 + ( -7)ie = 14i2 + 9e2 - 7ie |
| 8) Solve the following. (14n2 - 24nt + 13t2) - (5n2 - 9nt - 20t2) Answer: 9n2 Answer: 33t2 - Answer: 15nt SOLUTION 1 : 14n2 - 24nt + 13t2 - 5n2 + 9nt + 20t2 = ( 14n2 - 5n2 ) + ( 13t2 + 20t2 ) + ( -24nt + 9nt ) = (14 - 5)n2 + (13 + 20)t2 + ( -24 + 9)nt = (9)n2 + (33)t2 + ( -15)nt = 9n2 + 33t2 - 15nt |
| 9) Solve the following. (15b2 - 22bg + 8g2) - (2b2 - 6bg - 18g2) Answer: 13b2 Answer: 26g2 - Answer: 16bg SOLUTION 1 : 15b2 - 22bg + 8g2 - 2b2 + 6bg + 18g2 = ( 15b2 - 2b2 ) + ( 8g2 + 18g2 ) + ( -22bg + 6bg ) = (15 - 2)b2 + (8 + 18)g2 + ( -22 + 6)bg = (13)b2 + (26)g2 + ( -16)bg = 13b2 + 26g2 - 16bg |
| 10) Solve the following. (20x2 - 21xh + 15h2) - (2x2 - 6xh - 10h2) Answer: 18x2 Answer: 25h2 - Answer: 15xh SOLUTION 1 : 20x2 - 21xh + 15h2 - 2x2 + 6xh + 10h2 = ( 20x2 - 2x2 ) + ( 15h2 + 10h2 ) + ( -21xh + 6xh ) = (20 - 2)x2 + (15 + 10)h2 + ( -21 + 6)xh = (18)x2 + (25)h2 + ( -15)xh = 18x2 + 25h2 - 15xh |