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Chapter 9: Introduction to Algebra

    Introduction

    Patterns - Making Rules

    Variable

    More Patterns

    Expressions With Variables

    Rule Form Geometry/Mensuration

    Rule Form Arithmetic

    Simple Equations

    Exercise 9.1

    Exercise 9.2

    Exercise 9.3

    What We Have Discussed

    Enhanced Curriculum Support

    Easy Level Worksheet

    Moderate Level Worksheet

    Hard Level Worksheet

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Chapter 9: Introduction to Algebra > Exercise 9.2

Exercise 9.2

(i)

1. Write the expressions for the following statements.

(i) q is multiplied by 5.

The expression is:

(ii)

(ii) y is divided by 4.

The expression is

(iii)

(iii) One fourth of the product of numbers p and q.

The expression is

(iv)

(iv) 5 is added to the three times z.

The expression isz+

(v)

(v) 9 times ‘n’ is added to ‘10’.

The expression is n+

(vi)

(vi) 16 is subtracted from two times y.

The expression is y−

(vii)

(vii) ‘y’ is multiplied by 10 and then x is added to the product.

The expression is y +

2. Write two statements each for the following expressions.

(i)

(i) y−11

(a) In a class of students, students failed in the examination. Find the number of passed students.

(b) The of two numbers is . If one number is , then what is the other number?

(ii)

(ii) 10a

(a) The cost of one pen is Rs. . What is the cost of such pens?

(b) What is the of 10 times a?

(iii)

(iii) x5

(a) The cost of books is Rs. . Then what is the cost of book?

(b) What is the value of one fifth of ?

(iv)

(iv) 3m+11

(a) 11 to 3 of m.

(b) The length of a room is more than times of its breadth (say m).

(v)

(v) 2y−5

(a) 5 from 2 times of .

(b) The age of A is y and the age of B is less than times of the age of . What is the age of B?

3. Peter has ‘p’ number of balls. Number of balls with David is 3 times the balls with Peter. Write this as an expression.

Solution :

Let the number of balls Peter has =

The number of balls with David is times the balls with Peter.

Therefore the expression is 3

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.

Solution :

Let the number of books that Githa has =

Sita has more books than Githa.

The expression is +

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.

Solution :

The number of cadets in each row is 5. Let the number of rows be .

The total number of cadets in n rows = 5 × n =

The required rule is 5n