# Formation of Algebraic Equations

## Trending Questions

**Q.**

'x exceeds y by 7 can be expressed as...?

**Q.**The sum of two Integers is 65 . If one of the integers is -47 , find the other

**Q.**

Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is?

$20$

$9$

$120$

$40$

**Q.**

The number of positive integral solutions of the equation is $\left[\frac{x}{99}\right]=\left[\frac{x}{101}\right]$ is$?$

$2500$

$2499$

$1729$

$1440$

**Q.**

In a bouquet there are 7 roses 8 gladioli.in 9 bouquets how many flowers are there ?write in mathematical statement for this

**Q.**

The area of a square is 144 sq cm. Can you find the length of each side of the square?

36 cms

12 cms

24 cms

14 cms

**Q.**

Question 11

In algebra, letters may stand for

(a) known quantities

(b) unknown quantities

(c) fixed numbers

(d) None of these

**Q.**

Question 5(vi)

Give expression for the following case.

y is multiplied by - 8 and then 5 is added to the result.

**Q.**

The area of a rectangle is equal to 240 square centimetres. What is the length of the rectangle if its breadth is 12 cms

10 cms

20 cms

12 cms

16 cms

**Q.**

"4 times a number is 2 more than two times the same number. Express this as an equation.

x = 2x + 2

4x = 2 + x

4x = 2x + 2

4x = x + 2

**Q.**

Six years ago Matt was four times as old as Brown, and in $3$ years the sum of their ages will be $43$ years.

Find their present ages.

**Q.**

**Question 173**

How many grams should be added to 2 kg 300 g to make it 5 kg 68 g?

**Q.**

The area of a rectangle is equal to 480 square centimetres. What is the length of the rectangle if its breadth is 12 cms

30

40

20

50

**Q.**The sum of two consecutive numbers with a difference of 5 is 55. Find the numbers. [4 MARKS]

**Q.**

Question 23

I think of a number and on adding 13 to it, I get 27. Equation for this is

(a) x - 27 = 13

(b) x - 13 = 27

(c) x + 27 = 13

(d) x + 13 = 27

**Q.**Final production cost of a television set is ₹20, 000. A factory gets an order of 340 sets from wholeseller A, 430 sets from wholeseller B and 500 sets from wholeseller C. Find the total revenue generated by the factory on the sale of these many TV sets.

**Q.**

The variable in the expression 9x+329 is

**Q.**

The sum of two consecutive numbers is 71. Frame an equation for this statement.

2x+1=71

x+(x+2)=71

x+x=71

none of these

**Q.**

Bunty is 12 years old. His mother is 30 years older to him. Which expression gives the age (m) of Bunty's mother?

m = 30

m + 12 = 30

m - 12 = 30

m = 12

**Q.**

The perimeter of a rectangle is 40 cms. Can you find the length of the rectangle if its breadth 8 cms?

10 cm

4 cm

3 cm

12 cm

**Q.**

When 5 is added to a number, we get 15. How do we represent this in the form of an equation?

x=15+5

x−5=15

x+15=5

x+5=15

**Q.**Identify operations and tell how the expressions have been formed :

y+5, t-7, 10a, x/3, - 5q

**Q.**

The area of a rectangle is equal to 880 square centimetres. What is the breadth of the rectangle if its length is 40 cms.

125 cms

22 cms

15 cms

25 cms

**Q.**

The expressions 16 + p and 26 - p are equal. Express this statement as an equation

16 - p = -26 + p

26 - p = 16

16 + p = 26 - p

16 + p = 26

**Q.**

The perimeter of a square is 248 cms. Can you find the length of each side of the square?

124 cms

31 cms

93 cms

62 cms

**Q.**

It was 10 o' clock in the night. Rahul went to his bedroom to sleep after finishing his homework on Algebra. In his dream, he saw 3 equations being written on three different shining boxes (shown in the figure below).

They all represent the same equation.

- True
- False

**Q.**

A cab company charges a $\text{20rupees}$ boarding rate in addition to its meter which is $\text{12rupees}$ for every kilometre covered. Write an equation that represents this cab companys rate?

**Q.**

The perimeter of a rectangle is $60m$ . The length of the rectangle is $6m$ longer than its width . If its width is represented as $x,$the equation can be represented as

$2\times (x+x+6)=60$

$2\times (x+6-x)=60$

$2\times (6+x-x)=60$

$2\times (x-x-6)=60$

**Q.**If we subtract 2m from both sides of the equation 2+2m=5m-1, we will come up with_____.

- 2+2m=-1
- 2=3m-1
- 2m=5m+1
- 5m=-1

**Q.**

6y decreased by 3 is equal to 40. Express this statement as an equation

6y - 3 = 40

3 - 6 = 40

3 - 6x = 40

3 + 6y = 40