Note: Answers to all questions are given at the end of this exercise.

__Question No. 1:
__

**In each of the following, let x denote the unknown. Derive an equation involving x:**

(a) when a certain number is increased by 7, the result is 18.

(b) when a number is increased by 2 and the result multiplied by 3, the result is 18.

(c) when 5 is subtracted from a certain number and the result multiplied by 7, the final result is 63.

(d) when a certain number is subtracted from 24 and the result divided by 5, the final result is 4.

(e) the sum of three consecutive numbers is 63.

(f) one number is bigger than the other number by 3 and the sum of these two numbers is 43.

(g) six times of a certain number is 16 more than twice the number.

(h) the length of a number is 5 m more than its width and the perimeter of the rectangle is 32 m.

(i) the length of a rectangle is twice its width and the perimeter is 54 m.

(a) when a certain number is increased by 7, the result is 18.

(b) when a number is increased by 2 and the result multiplied by 3, the result is 18.

(c) when 5 is subtracted from a certain number and the result multiplied by 7, the final result is 63.

(d) when a certain number is subtracted from 24 and the result divided by 5, the final result is 4.

(e) the sum of three consecutive numbers is 63.

(f) one number is bigger than the other number by 3 and the sum of these two numbers is 43.

(g) six times of a certain number is 16 more than twice the number.

(h) the length of a number is 5 m more than its width and the perimeter of the rectangle is 32 m.

(i) the length of a rectangle is twice its width and the perimeter is 54 m.

Note: Answers to all questions are given at the end of this exercise.

__Question No. 2:
__

**Peter has five times as much money as David. If Peter gives $28 to David, both of them will have equal amounts of money. How much money did Peter have at the beginning?**

Note: Answers to all questions are given at the end of this exercise.

__Question No. 3:
__

**There are a total of 225 pupils in secondary one. If the number of pupils who pay their school fees through GIRO scheme is 14 Times the number of pupils who do not, find the number of pupils who did not join the scheme.**

Note: Answers to all questions are given at the end of this exercise.

__Question No. 4:
__

**$4800 is divided among three brothers A, B and C. A receives three times as much as B and C receives twice as much as B. If B receives $x, form an equation in x.**

Note: Answers to all questions are given at the end of this exercise.

__Question No. 5:
__

**Three wallets and two handbags cost $450 and a handbag costs twice as much as a wallet. If a wallet costs $x, form an equation in x.**

**Answers**

**(from left to right)**

## Leave a Reply