Practice Paper for Algebra SSC Maharashtra Board
1. Solve graphically: 2x = 5 – y; 3x = y + 5 (3)
2. 15x + 17y = 21; 17x + 15y = 11 (3)
3. Solve by Cramer’s rule 3x – 4y = 10; 4x + 3y = 5 (3)
4. Two pencils and 5 pens cost Rs 27 but 5 pencils and 2 pencils cost Rs 15. Find cost of 5 pencils.
5. Some part of a journey of 555 km was completed by a car with speed 60 km/hr. then speed is increased by 15 km/hr and the journey is completed. If it takes 8 hours to reach find the time taken and distance covered by 60 km/hr. (4)
6. 41 - 47 = 35; 47 - 41 = 53 (4)
X Y X Y
7. Find HCF of 8x4 – 16x3 – 40x2 + 48x; 16x5 + 64x4 + 80x3 + 32x2 (4)
8. If HCF polynomials (x-2)(x2 + ax +12) and (x+3)(x2 + bx + 6) is (x+2)(x-3). Find a and b. (4)