Dear Students,

Revise the following questions:

I have given the answers also just check :

**Answer the following question:**- If the present age of Sohan is y years, write the expression for the following statements:
- a) His age 6 years ago. (y-6)
- b) His age 4 years from now. (y+4)
- c) If his mother’s age is three times his age, what is the mother’s age now? (3y)
- d) If his father’s age is five years more than the mother’s age, what is the father’s age now?(3y+5)

**Classify the following as algebraic expressions or algebraic equations:**a) 2x + 3**algebraic expressions**- b) 3x + 7 = 0
**algebraic equations** - c) 8p = 16
**algebraic equations** - d) 20 m
**algebraic expressions**

**Write the following statements as algebraic equations.**a) 5 multiplied by x plus three is equal to 23 (5x +3 = 23)2- b) 10 subtracted from 7x is equal to 95 (7x – 10 = 95)
- c) 4 times a number is equal to 100 (4x = 100)
- d) one-fifth of a number plus twenty-one is equal to forty-one. (1/5 x + 21 = 41)

- If two _________ are not equal then it is said that thet are not in proportion. (RATIOS)
- First and the fourth term in proportion are known as _________ terms. (EXTREME)
- The method in which first we find the value of one unit and then the value of required number of

units is known as _______________. (UNITARY METHOD)

- _____ :4 :: 32:16 (8)

**Which of the following ratios are in proportion?**- a) 5, 25, 6, 30 (YES)
- b) 21, 7, 81, 9 (NO)
**Express each of the following ratios in the simplest form.**

(a) 5.6 m to 28 cm (20:1)

(b) 6 hours to a day (1:4)

(c) 20 litres to 0.75 litres (4:15)

(d) 1728 : 2400 (18:25)

- A teacher earns Rs 45,000 a month and her monthly expenditure is Rs 30,000. Find:
- i) What is the ratio of her expenditure to her income?
- ii) What is the ratio of her savings to her income?

iii) What is her ratio of her savings to her expenditure?

Expenditure= 30,000

Income= 45,000

Savings = 15,000

Ratio of expenditure to income= 30,000 ; 45,000 = 2:3

Ratio of savings to her income = 15,000 : 45,000 = 1:3

Ratio of savings to expenditure = 15,000 : 30,000 = 1:2

- Divide Rs 720 among A,B and C in the ratio 5:4:9

Total = 18

A will get = 5/18 * 720 = Rs 200

B will get = 4/18 * 720 = Rs 160

C will get = 9/18 * 720 = Rs 360

- Two dozen eggs cost Rs 180. Find the cost of 30 eggs.

24 eggs cost Rs 180

Cost of one egg = 180/24 = 7.5

Cost of 30 eggs = 30 * 7.5 = Rs 225

- A carpenter makes 54 tables in 18 days. In how many days can he make 24 tables working at the

same rate?

No of tables made in a day = 54/18 = 3

No. of days require to make 24 tables = 24/8 = 3