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. (19p2 - 16pq + 19q2) - (2p2 - 9pq - 12q2) p2 q2 - pq Answer:_______________ |
| 2) Solve the following. (15e2 - 15ek + 16k2) - (7e2 - 5ek - 9k2) e2 k2 - ek Answer:_______________ |
| 3) Solve the following. (27o2 - 15ok + 19k2) - (9o2 - 5ok - 16k2) o2 k2 - ok Answer:_______________ |
| 4) Solve the following. (28q2 - 18qp + 16p2) - (8q2 - 2qp - 9p2) q2 p2 - qp Answer:_______________ |
| 5) Solve the following. (26v2 - 22vr + 12r2) - (4v2 - 2vr - 4r2) v2 r2 - vr Answer:_______________ |
| 6) Solve the following. (27q2 - 20qt + 5t2) - (4q2 - 7qt - 25t2) q2 t2 - qt Answer:_______________ |
| 7) Solve the following. (12b2 - 20bf + 5f2) - (7b2 - 5bf - 7f2) b2 f2 - bf Answer:_______________ |
| 8) Solve the following. (22c2 - 23cn + 19n2) - (4c2 - 6cn - 4n2) ___c2 ___cn Answer:_______________ |
| 9) Solve the following. (16b2 - 20bh + 6h2) - (1b2 - 8bh - 16h2) b2 h2 - bh Answer:_______________ |
| 10) Solve the following. (23x2 - 20xz + 4z2) - (5x2 - 8xz - 3z2) x2 z2 - xz Answer:_______________ |
| 1) Solve the following. (19g2 - 16gk + 19k2) - (2g2 - 9gk - 12k2) Answer: 17g2 Answer: 31k2 - Answer: 7gk SOLUTION 1 : 19g2 - 16gk + 19k2 - 2g2 + 9gk + 12k2 = ( 19g2 - 2g2 ) + ( 19k2 + 12k2 ) + ( -16gk + 9gk ) = (19 - 2)g2 + (19 + 12)k2 + ( -16 + 9)gk = (17)g2 + (31)k2 + ( -7)gk = 17g2 + 31k2 - 7gk |
| 2) Solve the following. (15s2 - 15sm + 16m2) - (7s2 - 5sm - 9m2) Answer: 8s2 Answer: 25m2 - Answer: 10sm SOLUTION 1 : 15s2 - 15sm + 16m2 - 7s2 + 5sm + 9m2 = ( 15s2 - 7s2 ) + ( 16m2 + 9m2 ) + ( -15sm + 5sm ) = (15 - 7)s2 + (16 + 9)m2 + ( -15 + 5)sm = (8)s2 + (25)m2 + ( -10)sm = 8s2 + 25m2 - 10sm |
| 3) Solve the following. (27a2 - 15ap + 19p2) - (9a2 - 5ap - 16p2) Answer: 18a2 Answer: 35p2 - Answer: 10ap SOLUTION 1 : 27a2 - 15ap + 19p2 - 9a2 + 5ap + 16p2 = ( 27a2 - 9a2 ) + ( 19p2 + 16p2 ) + ( -15ap + 5ap ) = (27 - 9)a2 + (19 + 16)p2 + ( -15 + 5)ap = (18)a2 + (35)p2 + ( -10)ap = 18a2 + 35p2 - 10ap |
| 4) Solve the following. (28o2 - 18oy + 16y2) - (8o2 - 2oy - 9y2) Answer: 20o2 Answer: 25y2 - Answer: 16oy SOLUTION 1 : 28o2 - 18oy + 16y2 - 8o2 + 2oy + 9y2 = ( 28o2 - 8o2 ) + ( 16y2 + 9y2 ) + ( -18oy + 2oy ) = (28 - 8)o2 + (16 + 9)y2 + ( -18 + 2)oy = (20)o2 + (25)y2 + ( -16)oy = 20o2 + 25y2 - 16oy |
| 5) Solve the following. (26r2 - 22rn + 12n2) - (4r2 - 2rn - 4n2) Answer: 22r2 Answer: 16n2 - Answer: 20rn SOLUTION 1 : 26r2 - 22rn + 12n2 - 4r2 + 2rn + 4n2 = ( 26r2 - 4r2 ) + ( 12n2 + 4n2 ) + ( -22rn + 2rn ) = (26 - 4)r2 + (12 + 4)n2 + ( -22 + 2)rn = (22)r2 + (16)n2 + ( -20)rn = 22r2 + 16n2 - 20rn |
| 6) Solve the following. (27s2 - 20sv + 5v2) - (4s2 - 7sv - 25v2) Answer: 23s2 Answer: 30v2 - Answer: 13sv SOLUTION 1 : 27s2 - 20sv + 5v2 - 4s2 + 7sv + 25v2 = ( 27s2 - 4s2 ) + ( 5v2 + 25v2 ) + ( -20sv + 7sv ) = (27 - 4)s2 + (5 + 25)v2 + ( -20 + 7)sv = (23)s2 + (30)v2 + ( -13)sv = 23s2 + 30v2 - 13sv |
| 7) Solve the following. (12o2 - 20oi + 5i2) - (7o2 - 5oi - 7i2) Answer: 5o2 Answer: 12i2 - Answer: 15oi SOLUTION 1 : 12o2 - 20oi + 5i2 - 7o2 + 5oi + 7i2 = ( 12o2 - 7o2 ) + ( 5i2 + 7i2 ) + ( -20oi + 5oi ) = (12 - 7)o2 + (5 + 7)i2 + ( -20 + 5)oi = (5)o2 + (12)i2 + ( -15)oi = 5o2 + 12i2 - 15oi |
| 8) Solve the following. (22j2 - 23jw + 19w2) - (4j2 - 6jw - 4w2) Answer: 18j2 Answer: 23w2 - Answer: 17jw SOLUTION 1 : 22j2 - 23jw + 19w2 - 4j2 + 6jw + 4w2 = ( 22j2 - 4j2 ) + ( 19w2 + 4w2 ) + ( -23jw + 6jw ) = (22 - 4)j2 + (19 + 4)w2 + ( -23 + 6)jw = (18)j2 + (23)w2 + ( -17)jw = 18j2 + 23w2 - 17jw |
| 9) Solve the following. (16h2 - 20hi + 6i2) - (1h2 - 8hi - 16i2) Answer: 15h2 Answer: 22i2 - Answer: 12hi SOLUTION 1 : 16h2 - 20hi + 6i2 - 1h2 + 8hi + 16i2 = ( 16h2 - 1h2 ) + ( 6i2 + 16i2 ) + ( -20hi + 8hi ) = (16 - 1)h2 + (6 + 16)i2 + ( -20 + 8)hi = (15)h2 + (22)i2 + ( -12)hi = 15h2 + 22i2 - 12hi |
| 10) Solve the following. (23b2 - 20bu + 4u2) - (5b2 - 8bu - 3u2) Answer: 18b2 Answer: 7u2 - Answer: 12bu SOLUTION 1 : 23b2 - 20bu + 4u2 - 5b2 + 8bu + 3u2 = ( 23b2 - 5b2 ) + ( 4u2 + 3u2 ) + ( -20bu + 8bu ) = (23 - 5)b2 + (4 + 3)u2 + ( -20 + 8)bu = (18)b2 + (7)u2 + ( -12)bu = 18b2 + 7u2 - 12bu |