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. (12f2 - 13fn + 13n2) - (9f2 - 4fn - 23n2) f2 n2 - fn Answer:_______________ |
| 2) Solve the following. (12e2 - 18ej + 14j2) - (2e2 - 7ej - 4j2) e2 j2 - ej Answer:_______________ |
| 3) Solve the following. (16i2 - 14iv + 15v2) - (3i2 - 4iv - 4v2) i2 v2 - iv Answer:_______________ |
| 4) Solve the following. (14u2 - 15uz + 15z2) - (9u2 - 7uz - 20z2) u2 z2 - uz Answer:_______________ |
| 5) Solve the following. (14a2 - 25aw + 6w2) - (6a2 - 9aw - 19w2) a2 w2 - aw Answer:_______________ |
| 6) Solve the following. (19k2 - 13ka + 6a2) - (7k2 - 5ka - 13a2) k2 a2 - ka Answer:_______________ |
| 7) Solve the following. (18z2 - 19zc + 10c2) - (1z2 - 2zc - 5c2) ___c2 - zc Answer:_______________ |
| 8) Solve the following. (25q2 - 22qf + 11f2) - (2q2 - 7qf - 5f2) q2 f2 - qf Answer:_______________ |
| 9) Solve the following. (17d2 - 19dz + 10z2) - (8d2 - 7dz - 6z2) d2 z2 - dz Answer:_______________ |
| 10) Solve the following. (20a2 - 19ac + 6c2) - (6a2 - 2ac - 25c2) ___c2 - ac Answer:_______________ |
| 1) Solve the following. (12g2 - 13gl + 13l2) - (9g2 - 4gl - 23l2) Answer: 3g2 Answer: 36l2 - Answer: 9gl SOLUTION 1 : 12g2 - 13gl + 13l2 - 9g2 + 4gl + 23l2 = ( 12g2 - 9g2 ) + ( 13l2 + 23l2 ) + ( -13gl + 4gl ) = (12 - 9)g2 + (13 + 23)l2 + ( -13 + 4)gl = (3)g2 + (36)l2 + ( -9)gl = 3g2 + 36l2 - 9gl |
| 2) Solve the following. (12y2 - 18yo + 14o2) - (2y2 - 7yo - 4o2) Answer: 10y2 Answer: 18o2 - Answer: 11yo SOLUTION 1 : 12y2 - 18yo + 14o2 - 2y2 + 7yo + 4o2 = ( 12y2 - 2y2 ) + ( 14o2 + 4o2 ) + ( -18yo + 7yo ) = (12 - 2)y2 + (14 + 4)o2 + ( -18 + 7)yo = (10)y2 + (18)o2 + ( -11)yo = 10y2 + 18o2 - 11yo |
| 3) Solve the following. (16c2 - 14cd + 15d2) - (3c2 - 4cd - 4d2) Answer: 13c2 Answer: 19d2 - Answer: 10cd SOLUTION 1 : 16c2 - 14cd + 15d2 - 3c2 + 4cd + 4d2 = ( 16c2 - 3c2 ) + ( 15d2 + 4d2 ) + ( -14cd + 4cd ) = (16 - 3)c2 + (15 + 4)d2 + ( -14 + 4)cd = (13)c2 + (19)d2 + ( -10)cd = 13c2 + 19d2 - 10cd |
| 4) Solve the following. (14q2 - 15ql + 15l2) - (9q2 - 7ql - 20l2) Answer: 5q2 Answer: 35l2 - Answer: 8ql SOLUTION 1 : 14q2 - 15ql + 15l2 - 9q2 + 7ql + 20l2 = ( 14q2 - 9q2 ) + ( 15l2 + 20l2 ) + ( -15ql + 7ql ) = (14 - 9)q2 + (15 + 20)l2 + ( -15 + 7)ql = (5)q2 + (35)l2 + ( -8)ql = 5q2 + 35l2 - 8ql |
| 5) Solve the following. (14i2 - 25in + 6n2) - (6i2 - 9in - 19n2) Answer: 8i2 Answer: 25n2 - Answer: 16in SOLUTION 1 : 14i2 - 25in + 6n2 - 6i2 + 9in + 19n2 = ( 14i2 - 6i2 ) + ( 6n2 + 19n2 ) + ( -25in + 9in ) = (14 - 6)i2 + (6 + 19)n2 + ( -25 + 9)in = (8)i2 + (25)n2 + ( -16)in = 8i2 + 25n2 - 16in |
| 6) Solve the following. (19g2 - 13gu + 6u2) - (7g2 - 5gu - 13u2) Answer: 12g2 Answer: 19u2 - Answer: 8gu SOLUTION 1 : 19g2 - 13gu + 6u2 - 7g2 + 5gu + 13u2 = ( 19g2 - 7g2 ) + ( 6u2 + 13u2 ) + ( -13gu + 5gu ) = (19 - 7)g2 + (6 + 13)u2 + ( -13 + 5)gu = (12)g2 + (19)u2 + ( -8)gu = 12g2 + 19u2 - 8gu |
| 7) Solve the following. (18v2 - 19vj + 10j2) - (1v2 - 2vj - 5j2) Answer: 17v2 Answer: 15j2 - Answer: 17vj SOLUTION 1 : 18v2 - 19vj + 10j2 - 1v2 + 2vj + 5j2 = ( 18v2 - 1v2 ) + ( 10j2 + 5j2 ) + ( -19vj + 2vj ) = (18 - 1)v2 + (10 + 5)j2 + ( -19 + 2)vj = (17)v2 + (15)j2 + ( -17)vj = 17v2 + 15j2 - 17vj |
| 8) Solve the following. (25r2 - 22ry + 11y2) - (2r2 - 7ry - 5y2) Answer: 23r2 Answer: 16y2 - Answer: 15ry SOLUTION 1 : 25r2 - 22ry + 11y2 - 2r2 + 7ry + 5y2 = ( 25r2 - 2r2 ) + ( 11y2 + 5y2 ) + ( -22ry + 7ry ) = (25 - 2)r2 + (11 + 5)y2 + ( -22 + 7)ry = (23)r2 + (16)y2 + ( -15)ry = 23r2 + 16y2 - 15ry |
| 9) Solve the following. (17f2 - 19fg + 10g2) - (8f2 - 7fg - 6g2) Answer: 9f2 Answer: 16g2 - Answer: 12fg SOLUTION 1 : 17f2 - 19fg + 10g2 - 8f2 + 7fg + 6g2 = ( 17f2 - 8f2 ) + ( 10g2 + 6g2 ) + ( -19fg + 7fg ) = (17 - 8)f2 + (10 + 6)g2 + ( -19 + 7)fg = (9)f2 + (16)g2 + ( -12)fg = 9f2 + 16g2 - 12fg |
| 10) Solve the following. (20o2 - 19ow + 6w2) - (6o2 - 2ow - 25w2) Answer: 14o2 Answer: 31w2 - Answer: 17ow SOLUTION 1 : 20o2 - 19ow + 6w2 - 6o2 + 2ow + 25w2 = ( 20o2 - 6o2 ) + ( 6w2 + 25w2 ) + ( -19ow + 2ow ) = (20 - 6)o2 + (6 + 25)w2 + ( -19 + 2)ow = (14)o2 + (31)w2 + ( -17)ow = 14o2 + 31w2 - 17ow |