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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 onethird 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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