# Algebraic Expressions

CLASS: VII

MENSURATION

1. The length and breadth of a rectangular field are in the ratio 3 : 2 of the area of the field is 3456 m2. Find the cost of fencing it @ Rs. 60 per m. 2. The cost of fencing a square field @ Rs, 16 per meter is 232000. Find the cost of reaping the field @ Rs.35 per 100 m2.. 3. The cost of carpeting a room 15 m long with a carpet of width 75 cm @ Rs. 80 per meter is Rs. 19200. Find the width of the room. 4. A rectangular park is 45 m long and 30 m width. A path 2,5 m wide is constructed outside the park. Find the area of the path and the cost of constructing it at Rs. 125 per m2. 5. The area of a right angled triangle is 400 m2. If one of its legs measures 8 cm. Find the length of the other leg. 6. The diameter of the wheel of a car is 10 cm. How many revolutions will it make to travel 99 km? 7. A race track is in the form of a ring whose inner circumference is 264 m and the outer circumference is 308 m. Find the width of the track. 8. A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent in the form of a circle, find the area enclosed by it. 9. The area of a circular tin plate is 38.5 m2. Find its circumference. 10. The diameter of a circular park is 84 m. A 3.5 m vide road on the outside around it. Find the cost of constructing road @ Rs. 200 per m2.

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RYAN INTERNATIONAL SCHOOL - ROHINI

CLASS: VIII

WORK SHEET

ALZEBRAIC EXPRESSIONS

1. (2x + 5) (2x – 5) = ?

(a).(4x2 +25)(b).(4x2 – 25)(c).(4x2 -10x = 25)(d). (4x2 + 10x – 25) 2. (a -1) (a +1) (a2 +1) = ?

(a).(a4 -2a2 -1)(b)(a4 – a2-1)(c).(a4 -1)(d).(a4 +1) 3. ( x + 1/x) = 5, then (x2+ 1/x2) = ?

(a(..25(b).27(c) 23(d)251/25)

4. If (a –b) =7 and ab = 9, then (a2 +b2= ?

5. If x = 10, then value of ( 4x2 + 20x + 25) = ?

(a).256(b)425(c)625(d)575

6. Add: 8x2 -5xy +3y2,...

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