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D. Fill in the blanks.

1. 2x + ................. = 11 has the solution – 4.
2. If 7x + 4 = 25, then x is equal to ........................ .

3. If k + 7 = 16, then the value of 8k – 72 is ................... .

4. If 10 less than a number is 65, then the number is .....................

5. The solution of the equation ax + b = 0 is .........................

E. Answer the Following.
1. In a inter school quiz competition, 30 prizes consisting of 1st and 2nd prizes only are to be given.
1st and 2nd prizes are worth `2000 and `1000, respectively. If the total prize money is `52,000 then,
show that:
(a) If 1st prizes are x in number, the number of 2nd prizes are ....................

(b) The total value of prizes in terms of x are ......................
(c) The equation formed is ............................

(d) The solution of the equation is ..............................
(e) The number of 1st prizes is ............... and the number of 2nd prizes is ...........................

2. Mansi will be 3 times as old as she was 4 years ago after 18 years. Find her present age.
3. The length of a rectangle is 2 m more than its breadth. If the length is increased by 3 m and the
breadth is decreased by 2 m, then its area remains the same. Find the length and breadth of the
original rectangle.

4. Every year Pihu’s father donated some certain amount of money on her birthday. He
donates one-third of the amount to an orphanage, one-fourth of remaining amount to a
charitable trust of a hospital for the treatment of financial weaker people and the remaining `24,000
to Prime Minister Relief fund. Find the amount that Pihu’s father donates. What do you think about
the donation for good a cause? Discuss with your teacher or parents. Also, write for what cause you
would like to donate?

5. The interest received by Dinesh is ₹950 more than that of Suresh. If the total interest received by
them is ₹ 1800, find the interest received by Suresh.

6. Rehana had twice as many chocolates as Sonam. After she gave 5 chocolates to her younger brother,
Sonam had thrice as many chocolates as she. How many chocolates did Sonam have?
7. There are three weighing scales given below which are perfectly balanced if • = 4.

•
By using the value of , find the values of D and *. COMPETENCY BASED QUESTION

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