Students can practice TS SCERT Class 6 Maths Solutions Chapter 9 Introduction to Algebra Ex 9.2 to get the best methods of solving problems.
TS 6th Class Maths Solutions Chapter 9 Introduction to Algebra Exercise 9.2
Question 1.
Write the expressions for the following statements.
(i) q is multiplied by 5.
Answer:
q × 5 = 5q
(ii) y is divided by 4.
Answer:
\(\frac{y}{4}\)
(iii) One fourth of the product of numbers p and q.
Answer:
The product of p and q = p × q = pq
One fourth of the product = \(\frac{\mathrm{pq} \times 1}{4}\) = \(\frac{\mathrm{pq}}{4}\)
(iv) 5 is added to the three times z.
Answer:
3 times z = 3 × z = 3z
If 5 is added to 3z, then we get 3z + 5
(v) 9 times ‘n’ is added to ’10’.
Answer:
9 times ‘n’ = 9 × n = 9n;
If 10 is added 9n, then it becomes 9n + 10
(vi) 16 is subtracted from two times ‘y’.
Answer:
2 times ‘y’ = 2 × y = 2y;
If 16 is subtracted from 2y, it becomes (2y – 16)
(vii) ‘y’ is multiplied by 10 and then x is added to the product.
Answer:
y × 10 + x = 10y + x
Question 2.
Write two statements each for the following expressions.
(i) y – 11
Answer:
(a) In a class of ‘y’ students, 11 students failed in the examination. Find the number of passed students.
(b) The sum of two numbers is y. If one number is 11, then what is the other number ?
(ii) 10a
Answer:
(a) The cost of one pen is Rs. 10. What is the cost of ‘a’ such pens ?
(b) What is the value of 10 times ‘a’ ?
(iii) \(\frac{x}{5}\)
Answer:
(a) The cost of 5 books is .Rs. ’x’.
Then what is the cost of one book?
(b) What is the value of one fifth of x?
(iv) 3m + 11
Answer:
(a) Add 11 to 3 times of m.
(b) The length of a room is 11 more than 3 times of its breadth (say m).
(v) 2y – 5
Answer:
(a) Subtract 5 from 2 times of ‘y’.
(b) The age of A is y and the age of B is 5 less than 2 times of the age of A. What is the age of B ?
Question 3.
Peter has ‘p’ number of balls. Number of balls with David is 3 times the balls with Peter. Write this as an expression.
Answer:
Number of balls that Peter has = p
Number of balls with David is 3 times the balls with Peter.
∴ Number of balls with David is 3p.
Question 4.
Sita has 3 more notebooks than Githa. Find the number of books that Sita has ? Use any letter for the number of books that Githa has.
Answer:
Let the number of books that Githa be x.
Sita has 3 more books than Githa.
∴ The number of books that Sita has = x + 3
Question 5.
Cadets are marching in a parade. There are 5 cadets in each row. What is the rule for the number of cadets, for a given number of rows ? Use ‘n’ for the number of rows.
Answer:
The number of cadets in each row is 5. Let the number of rows be ‘n’.
Total number of cadets in ‘n’ rows = 5 × n = 5n
∴ The required rule is 5n.