Framing Relations

Q. Manish and Nitish are brothers. Manish is three years younger than Nitish. If Nitish age is $x$ then Manish’s age could be represented by the algebraic expression.
$\left[2Marks\right]$

Q.

When a number is added to 24, we get 96. How do we represent this in the form of an equation?

1. x = 24 + 96

2. x + 24 = 96

3. x - 96 = 24

4. x - 24 = 96

Q.

Ravi's age is 7 more than twice Rajat's age. If Rajat's age is represented by x, the expression which represents Ravi's age will be

1. 7x + 2

2. 2x + 7

3. 2x - 7

4. 7x - 2

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.

The length (l) of a cuboid is reduced by 7, height (h) becomes 3 times and width (w) is increased by 2'. Find its new volume.

1. $(l-7)\left(3h\right)(w+2)$

2. $(l-7)\left(3h\right)w$

3. $(l-7)(w+2)h$

4. $(l-7)hw$

Q.

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

1. $x=15+5$

2. $x-5=15$

3. $x+5=15$

4. $x+15=5$

Q.

Manish and Nitish are brothers. Manish is three years younger than Nitish. If Nitish age is ‘x’ then Manish’s age could be represented by the expression

1. x + 3

2. x - 3

3. x + 1

4. x - 1

Q.

If the circumference of a circular park is five units more than its radius $r$, then the circumference can be expressed as ______.

1. $r+10$

2. $r-10$

3. $r+5$

4. $r-5$

Q. Anju went to a fair one day. The entry fee to the fair was Rs 10 and each game cost Rs 5 to play. If the number of games played by Anju is x, what is the expression for the total amount spent?

1. $10x+5$
2. $5(x+10)$
3. $10(x+5)$
4. $5x+10$

Q.

Autos in Bangalore have a fixed charge of Rs. 25 for the first 2 km and then an additional charge of Rs.13 per each additional km. If $x$ represents the distance travelled, find an expression for the total charge.

1. 13$x$ + 1
2. 13$x$ - 1
3. 25 + 13$x$
4. None of these