Q.1. Classify into monomials, binomials and trinomials:
(i) 3x − 5y
(ii) x2
(iii) a + b − ab
(iv) 50
(v) 2x2 + y2 − xy
Q.2. If A = 3a − 2b, B = −2a + 3b and C = −a − b, then find A + B + C.
Q.3. Identify like terms in the following:
(i) −x2y, − 4y2x, 7 y2, 2x2y, 3y, −4y2, − l00y, 12xy, 10xy2, −6y2x2, 4 yx, 11x2y2
(ii) 4ab, 7a, 8b, −3a2b2, −4 ba, −50b, −75, 15b2a2, −7a2, 45, 150a, 70ba, 10a2b, −5ab2, 3ba2, −21a2, 7 b2a
Q.4. Simplify : 4k − 2 + 3k2 − 5k + 6.
Q.5. The length of a rectangle is three times its breadth. If the perimeter of the rectangle is 96 metres, then find the length and breadth of the rectangle.
Q.6. Find the value of (4c2/6) - 25 , when c = 9.
Q.7. What should be added to x2 + xy + y2 to obtain 4x2 + 8xy?
Q.8. Subtract 5x2 − 3xy + 2y2 from 7x2 − 5xy − 8y2.
Q.9. Find the value of 3a + 2bc − 3d3; given that a = 5, b = 4, c = 3 and d = 2.
Q.10. Subtract the sum of 7x2− 4y2 and 4x2 + 3xy − 4y2 from the sum of 5x2 − 3xy − y2 and x2 + 2xy − 2y2.
Q.11. Subtract the sum of 10m − 8n + 6p2 and −7m − 4n + 12p2 from the sum 2m − 4n + 6p2 and m – 8n + 12p2.
Q.12. Find the sum of the expressions: x + xy2 + y + ax2; 2ax2 − 2y + 3x; −5 xy2 − ax2 − 2y; −5x + 3y − 2ax2.
Q.13. The length of a rectangle is 6 m more than its breadth. The perimeter of the rectangle is 60 m. Find the length and breadth of the rectangle.
Q.14. The perimeter of a rectangle is 36 m. Its length is 2 m greater than its breadth. Find its length and breadth.
Q.15. Jamie borrowed ₹ 2000 for t years at the rate of r% p.a. If interest is calculated as simple interest, then find the algebraic expression to find amount.
Q.16. Find the number of dots in the pattern 143 of the following pattern.
Q.17. How many match sticks will be required to make the 54th pattern?
Q.18. Write each of the following statements in equation:
(i) A number x increased by 5 equals 12.
(ii) Thrice a number x decreased by 5 is equal to 27.
(iii) 20 decreased by a number x is equal to 15.
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