Formation of Algebraic Equations

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?

1. $20$

2. $9$

3. $120$

4. $40$

Q.

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

1. $2500$

2. $2499$

3. $1729$

4. $1440$

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?

1. 36 cms

2. 12 cms

3. 24 cms

4. 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

1. 10 cms

2. 20 cms

3. 12 cms

4. 16 cms

Q.

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

1. x = 2x + 2

2. 4x = 2 + x

3. 4x = 2x + 2

4. 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

1. 30

2. 40

3. 20

4. 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 $\frac{9x+32}{9}$ is ___.

Q.

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

1. $2x+1=71$

2. $x+(x+2)=71$

3. $x+x=71$

4. 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?

1. m = 30

2. m + 12 = 30

3. m - 12 = 30

4. m = 12

Q.

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

1. 10 cm

2. 4 cm

3. 3 cm

4. 12 cm

Q.

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

1. $x=15+5$

2. $x-5=15$

3. $x+15=5$

4. $x+5=15$

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.

1. 125 cms

2. 22 cms

3. 15 cms

4. 25 cms

Q.

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

1. 16 - p = -26 + p

2. 26 - p = 16

3. 16 + p = 26 - p

4. 16 + p = 26

Q.

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

1. 124 cms

2. 31 cms

3. 93 cms

4. 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.

1. True
2. False

Q.

A cab company charges a $\text{20 rupees}$ boarding rate in addition to its meter which is $\text{12 rupees}$ 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

1. $2\times (x+x+6)=60$

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

3. $2\times (6+x-x)=60$

4. $2\times (x-x-6)=60$

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

1. 2+2m=-1
2. 2=3m-1
3. 2m=5m+1
4. 5m=-1

Q.

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

1. 6y - 3 = 40

2. 3 - 6 = 40

3. 3 - 6x = 40

4. 3 + 6y = 40