Page 221 - Start Up Mathematics_6

5. Write the expression for the following:
(a) 5 multiplied by x (b) 2 subtracted from –p

(c) q multiplied with –6 (d) p divided by 4
(e) 56 added to double of x (f) –3 multiplied by y and the result added to 18
(g) 8 multiplied by x and 16 subtracted from the result
6. The length of a rectangular plot is 3 times the breadth of the plot. If the breadth of the plot
is b, form an equation for its length and the perimeter.
7. A car travelling at x km per hour is going from A to B. After the car has travelled for
6 hours, B is still 100 km away. What is the distance from A to B in terms of x?
8. Change the following statements using expressions into statements in ordinary language.
(a) In a class there are n girls and 3n boys.
(b) The cost of a bike is n and the cost of a car is 12n.
(c) Ravi is x years old. His father is 5x years old and his mother is 5x – 4 years old.
(d) In a contingent of Army there are n rows. Each row contains 2n soldiers.
(e) In a box of chocolates there are n rows. Each row contains n + 2 chocolates.
9. The height of a rectangular box is h cm. Its length is 4 times the height and breadth is
6 cm less than its length. Express the length and breadth of the box in terms of its height.
10. State which of the following are equations with a variable. Identify the variable used in
the equations.
(a) 20 + x = 6 (b) (x – 5) > 5 (c) 2x – 1 < 0
3 p
(d) 20 – (5 + 1) = 2 × 7 (e) 2 > 1 (f) 3p + 5 = 2p + 7

11. Complete the following table. By inspection method, find the solution of the equation
2x + 10 = 20.
x 1 2 3 4 5 6 7 8 9
2x + 10 ... ... ... ... ... ... ... ... ...

12. Complete the following table. By inspection method, find the solution of the equation
3m – 7 = 8.

m 1 2 3 4 5 6 7 8 9
3m – 7 ... ... ... ... ... ... ... ... ...
13. Complete the following table. By inspection method, find the solution of the equation
x + = .
35
3
x 1 2 3 4 5 6 7 8 9
x ... ... ... ... ... ... ... ... ...
4 + 3
14. A bus travels at y km per hour. It is going from Daspur to Beespur. After the bus has
travelled for 5 hours, Beespur is still 20 km away. Express the distance from Daspur to
Beespur using y.
1 1
15. Given Sara’s present age to be y years, can you guess what y + 7, y – 3, y + 4 2 and y – 2 2
indicate in terms of her age?

213