Chapter 8: Introduction to Algebra – Exercise 8.3

Question: 1

5 more than twice a number x is written as:

(a) 5 + x + 2

(b) 2x + 5

(c) 2x – 5

(d) 5x + 2

Solution:

(b) 2x + 5

 

Question: 2

The quotient of x by 2 is written as:

Solution:

 

Question: 3

The quotient of x by 3 is multiplied by y is written as:

(a)  x/3y

(b)  3x/y

(c)  3y/x

(d)  xy/3

Solution:

(d)  xy/3

 

Question: 4

9 taken away from the sum of x and y is

(a) x + y – 9

(b) 9 – (x + y)

Solution:

(a) x + y – 9

 

Question: 5

The quotient of x by y added to the product of x and y is written as:

Solution:

 

Question: 6

a²b³ × 2ab² is equal to

(a) 2a³b⁴

(b) 2a³b⁵

(c) 2ab

(d) a³b⁵

Solution:

(b) 2a³b⁵

 

Question: 7

4a²b³ × 3ab² × 5a³b is equal to

(a) 60a³b⁵

(b) 60a⁶b⁵

(c) 60a⁶b⁶

(d) a⁶b⁶

Solution:

(c) 60a⁶b⁶

 

Question: 8

If 2x²y and 3xy² denote the length and breadth of a rectangle, then its area is

(a) 6xy

(b) 6x²y²

(c) 6x³y³

(d) x³y³

Solution:

(c) 6x³y³

 

Question: 9

In a room there are x² rows of chairs and each rows contains 2x² chairs. The total number of chairs in the room is

(a) 2x²

(b) 2x⁴

(c) x⁴

Solution:

(b) 2x⁴

 

Question: 10

a³ × 2a²b × 3ab⁵ is equal to

(a) a⁶b⁶

(b) 23a⁶b⁶

(c) 6a⁶b⁶

(d) None of these

Solution:

(b) 2x⁴