Write the algebraic expression for:

(i) The volume of cube if its side(a) is reduced by 5.

(ii) Simple interest if time is reduced by 2 years and rate is increased by $5 %$ .

(iii) Distance travelled if speed is increased by 5 units and time by 10 units. [3 MARKS]

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Solution

Concept: 1 Mark each

(i) Volume

$= (a - 5)^{3}$

Here a is the initial length of the side of the cube.

(ii) Simple interest

$= \frac{[P \times (R + 5) \times (T - 2)]}{100}$

P=Principal Amount

R=rate

T=Time

(iii) Distance = (s+5) (t+10)

s=speed

t=time

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Write the algebraic expression for the volume of a cube, if its side (a) is reduced by 5.

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Write the algebraic expression for: (i) The volume of cube if its side(a) is reduced by 5. (ii) Simple interest if time is reduced by 2 years and rate is increased by 5%. (iii) Distance travelled if speed is increased by 5 units and time by 10 units. [3 MARKS]

Concept: 1 Mark each (i) Volume =(a−5)3 Here a is the initial length of the side of the cube. (ii) Simple interest =[P×(R+5)×(T−2)]100 P=Principal Amount R=rate T=Time (iii) Distance = (s+5) (t+10) s=speed t=time

Write the algebraic expression for:

(i) The volume of cube if its side(a) is reduced by 5.

(ii) Simple interest if time is reduced by 2 years and rate is increased by $5 %$ .

(iii) Distance travelled if speed is increased by 5 units and time by 10 units. [3 MARKS]

Concept: 1 Mark each

(i) Volume

$= (a - 5)^{3}$

Here a is the initial length of the side of the cube.

(ii) Simple interest

$= \frac{[P \times (R + 5) \times (T - 2)]}{100}$

P=Principal Amount

R=rate

T=Time

(iii) Distance = (s+5) (t+10)

s=speed

t=time