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**Q.1. Find the rule which gives the number of lines required to make the following pattern. Use a variable to write the rule.**

**(i) Letter __________ **

**(ii) Letter __________ **

**(iii) Letter __________ **

**(iv) Letter __________**

**Ans.**

(i) 2n

(ii) 3n

(iii) 4n

(iv) 2n

**Q.2. Children stand 10 in a row to perform a drill. How many children can there be in a drill? Give the rule to calculate this. (Use n for the number of rows) **

**Ans. **10 n

**Q.3. Form an algebraic expression using the statements given below :(i) 17 subtracted from '–y' __________(ii) '–m' multiplied by 10 __________(iii) x divided by '–2' __________(iv) 4 added to 6 times y __________ **

**Ans.**

(i) – y – 17

(ii) – 10m

(iii)

(iv) 6y + 4**Q.4. If y is Meena's age now in years how old will she be after 7 years? __________ **

**Ans. **(y + 7) years

**Q.5. If the side of a regular septagon is m units, then what is it's perimeter? __________ **

**Ans. **7 m units

**Q.6. Is 2 p–3> 7 an algebraic equation? __________ **

**Ans. **No

**Q.7. A teacher distributes 6 notebooks per student. How many notebooks are needed if s is the number of students?**

**Ans. **6s

**Q.8. Pick out the correct solution from the values given in the bracket next to each equation:**

**(i) r – 8 = 0 (8, – 8, 0, 1) r = __________**

**(ii) (7, 14, 21, 63) t = __________**

**(iii) (1, –1, 64) k = __________**

**Ans. **(i) r = 8

(ii) t = 63

(iii) k = 64

**Q.9. Complete the table and by inspection of the table find the solution to the equation **

**Ans. **

t = 16

**Q.10. In a game of cricket, there are n children but in football there are children. What does this indicate?**

**Ans. **It indicates that the number of children in the game of football is one-third as there are in the game of cricket.

**Q.11. Match the following :****(i) 5x = 20 (a) x = 6**

**(ii) 8 = x + 3 (b) x = 4**

**(iii) (c) x = 5**

**(iv) 8 – x = 2 (d) x = 3**

**Ans.**

(i) ↔ (b)

(ii) ↔ (c)

(iii) ↔ (d)

(iv) ↔ (a)

**Q.12. Give a mathematical expression for the statement: m multiplied by 5 and 6 subtracted from the product.**

**Ans. **5 m – 6

**Q.13. l = __________**

**Ans. **l = 36

**Q.14. n – 12 = – 19 n = __________**

**Ans. **n = – 7

**Q.15. m = __________**

**Ans. **m = 6

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