Selina solutions for कन्साइस माठेमटिक्स [इंग्रजी] इयत्ता ६ आयसीएसई chapter 13 - Framing Algebraic Expressions (Including Substitution and Linear Equations) [Latest edition]

Write in the form of an algebraic expression:

Perimeter (P) of a rectangle is two times the sum of its length (l) and its breadth (b).

Write in the form of an algebraic expression:

Perimeter (P) of a square is four times its side.

Write in the form of an algebraic expression:

Area of a square is square of its side.

Write in the form of an algebraic expression:

Surface area of a cube is six times the square of its edge.

Express the following as an algebraic expression:

The sum of x and y minus m.

Express the following as an algebraic expression:

The product of x and y divided by m.

Express the following as an algebraic expression:

The subtraction of 5m from 3n and then adding 9p to it.

Express the following as an algebraic expression:

The product of 12, x, y and z minus the product of 5, m and n.

Express the following as an algebraic expression:

Sum of p and 2r – s minus sum of a and 3n + 4x.

Construct a formula for the following:

Total wages (₹ W) of a man whose basic wage is (₹ B) for t hours week plus (₹ R) per hour, if he Works a total of T hours.

If x = 4, evaluate:

3x + 8

If x = 4, evaluate:

x² – 2x

If x = 4, evaluate:

`"x"^2/2`

If m – 6, evaluate:

5m − 6

If m – 6, evaluate:

2m² + 3m

If m – 6, evaluate:

(2m)²

If x = 4, evaluate:

12x + 7

If x = 4, evaluate:

5x² + 4x

If x = 4, evaluate:

`"x"^2/8`

If m = 2, evaluate:

16m – 7

If m = 2, evaluate:

15m² – 10m

If m = 2, evaluate:

`1/4xx"m"^3`

If x = 10, evaluate:

100x + 225

If x = 10, evaluate:

6x² – 25x

If x = 10, evaluate:

`1/50xx"x"^3`

If a = – 10, evaluate:

5a

If a = – 10, evaluate:

a²

If a = – 10, evaluate:

a³

If x = – 6, evaluate:

11x

If x = – 6, evaluate:

4x²

If x = – 6, evaluate:

2x³

If m = – 7, evaluate:

12m

If m = – 7, evaluate:

2m²

If m = – 7, evaluate:

2m³

Find the average (A) of four quantities p, q, r and s. If A = 6, p = 3, q = 5 and r = 7; find the value of s.

If a = 5 and b = 6, evaluate:

3ab

If a = 5 and b = 6, evaluate:

6a²b

If a = 5 and b = 6, evaluate:

2b²

If x = 8 and y = 2, evaluate:

9xy

If x = 8 and y = 2, evaluate:

5x²y

If x = 8 and y = 2, evaluate:

(4y)²

If x = 5 and y = 4, evaluate:

8xy

If x = 5 and y = 4, evaluate:

3x²y

If x = 5 and y = 4, evaluate:

3y²

If y = 5 and z = 2, evaluate:

100yz

If y = 5 and z = 2, evaluate:

9y²z

If y = 5 and z = 2, evaluate:

5y²

If y = 5 and z = 2, evaluate:

(5z)³

If x = 2 and y = 10, evaluate:

30xy

If x = 2 and y = 10, evaluate:

50xy²

If x = 2 and y = 10, evaluate:

(10x)²

If x = 2 and y = 10, evaluate:

5y²

If m = 3 and n = 7, evaluate:

12mn

If m = 3 and n = 7, evaluate:

5mn²

If m = 3 and n = 7, evaluate:

(10m)²

If m = 3 and n = 7, evaluate:

4n²

If a = − 10, evaluate:

3a – 2

If a = − 10, evaluate:

a² + 8a

If a = − 10, evaluate:

`1/5xx"a"^2`

If x = − 6, evaluate:

4x – 9

If x = − 6, evaluate:

3x² + 8x

If x = − 6, evaluate:

`"x"^2/2`

If m = − 8, evaluate:

2m + 21

If m = − 8, evaluate:

m² + 9m

If m = − 8, evaluate:

`"m"^2/4`

If p = − 10, evaluate:

6p + 50

If p = − 10, evaluate:

3p² – 20p

If p = − 10, evaluate:

`"p"^2/50`

If y = − 8, evaluate:

6y + 53

If y = − 8, evaluate:

y² + 12y

If y = − 8, evaluate:

`"y"^3/4`

If x = 2 and y = − 4, evaluate:

11xy

If x = 2 and y = − 4, evaluate:

5x²y

If x = 2 and y = − 4, evaluate:

(5y)²

If x = 2 and y = − 4, evaluate:

8x²

If m = 9 and n = − 2, evaluate 4mn

If m = 9 and n = − 2, evaluate 2m²n

If m = 9 and n = − 2, evaluate (2n)³

If m = − 8 and n = − 2, evaluate:

12mn

If m = − 8 and n = − 2, evaluate:

3m²n

If m = − 8 and n = − 2, evaluate:

(4n)²

If x = − 5 and y = − 8, evaluate:

4xy

If x = − 5 and y = − 8, evaluate:

2xy²

If x = − 5 and y = − 8, evaluate:

4x²

If x = − 5 and y = − 8, evaluate:

3y²

Find T, if T = 2a – b, a = 7 and b = 3.

From the formula B = 2a² – b², calculate the value of B when a = 3 and b = − 1.

The wages ₹ W of a man earning ₹ x per hour for t hours are given by the formula W = xt. Find his wages for working 40 hours at a rate of ₹ 39.45 per hour.

The temperature in the Fahrenheit scale is represented by F and the temperature in the Celsius scale is represented by C. If F = `9/5` × C + 32, find F when C = 40.