Question

Frame algebraic expressions for the following.


a) Four rupees more than five times the price of a burger.

b) 6 multiplied by sum of a and b.

c) The product of four and a number plus one.

d) 5 times a number divided by another number.

e) Thrice a number decreased by another number.

f) 5 inches were cut off from both width and length of the table. Write an expression for the area of the surface of the table after being cut.

g) Cadets are marching in a parade. There are seven cadets in a row. Write the rule that governs the number of cadets in the parade if the number of cadet rows is ‘n’.

h) Think of a number. Multiply it by 7. Add 5 to the result and subtract 35 from it. What do you get?

i) Ravi gets a ₹x as pocket money from his father every month. What is his pocket money for a year?

j) N stands for the number of stamps John had. He gave 12 stamps to his sister. Write an expression which tells how many stamps John has now?

Answer 1

SOLUTION

TO DETERMINE

To answer the given questions

EVALUATION

a) Four rupees more than five times the price of a burger.

Let the price of a burger = ₹ x

So the required algebraic expression

= ₹ ( 5x + 4 )

b) 6 multiplied by sum of a and b.

Here the given numbers are a and b

So the required algebraic expression

= 6(a + b)

c) The product of four and a number plus one.

Let the number = x

So the required algebraic expression

= 4( x + 1 )

d) 5 times a number divided by another number.

Let the numbers are x and y

So the required algebraic expression

= 5x/y

e) Thrice a number decreased by another number.

Let first number = x and second number = y

So the required algebraic expression

= 3x - y

h) Think of a number. Multiply it by 7. Add 5 to the result and subtract 35 from it. What do you get?

Let x be the number

Multiply it by 7 = 7x

Add 5 to the result = 7x + 5

Now subtract 35 from it = 7x + 5 - 35 = 7x - 30

So the required algebraic expression

= 7x - 30

i) Ravi gets a ₹x as pocket money from his father every month. What is his pocket money for a year?

1 year = 12 months

Ravi gets a ₹ x as pocket money from his father every month

So total amount in a year = ₹ 12x

So the required algebraic expression

= 12x

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Answer 2

Solution a) :-

Four rupees more than five times the price of a burger.

Let price of burger is Rs.x

so,

→ Required algebraic expression = (5x + 4)

Solution b) :-

→ Required algebraic expression = 6(a + b)

Solution c) :-

Let the number be x .

then,

→ Required algebraic expression = 4(x + 1)

Solution d) :-

Let the number be x and y .

then,

→ Required algebraic expression = 5x ÷ y = (5x/y)

Solution e) :-

Let the number be x and y .

then,

→ Required algebraic expression = (3x - y)

Solution f) :-

Let initial length and breadth of the table are x inch and y inch .

then,

→ Required algebraic expression for area after being cutting out 5 inch = (x - 5)(y - 5)

Solution g) :-

Total rows = n

Total cadets in each rows = 7

then,

→ Required algebraic expression for total cadets = 7 * n = 7n

Solution h) :-

Let the number be x .

then,

→ Required algebraic expression = (7x + 5) - 35 = (7x - 30)

Solution i) :-

Ravi's pocket money each month = Rs.x

then,

→ Required algebraic expression for his pocket money for a year (12 months) = 12 * x = Rs.12x

Solution j) :-

Total stamps john has = N

He gave to his sister = 12 stamps .

then,

→ Required algebraic expression for number of stamps john has now = (N - 12) stamps .

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