Algebra Class 6 Worksheet Maths Chapter 11

Q.1. Find the rule which gives the number of lines required to make the following pattern. Use a variable to write the rule.

(i) Letter __________

(ii) Letter __________

(iii) Letter __________

(iv) Letter __________

Ans.
(i) 2n
(ii) 3n
(iii) 4n
(iv) 2n

Q.2. Children stand 10 in a row to perform a drill. How many children can there be in a drill? Give the rule to calculate this. (Use n for the number of rows) 

Ans. Number of students in each row = n

Number of students in 10 rows = 10 × n = 10n

Q.3. Form an algebraic expression using the statements given below :
(i) 17 subtracted from '–y' __________
(ii) '–m' multiplied by 10 __________
(iii) x divided by '–2' __________
(iv) 4 added to 6 times y __________ 

Ans.
(i) – y – 17
(ii) – 10m

(iii)

(iv) 6y + 4

Q.4. If y is Meena's age now in years how old will she be after 7 years? __________ 

Ans. Present age of Meena = y 
Age of Meena after 7 years = (y + 7) years

Q.5. If the side of a regular septagon is b units, then what is it's perimeter? __________ 

Ans. All sides of regylar polygons are equal and Septagon has 7 sides 
Let one side of septagon be b 
Therefore , perimeter of regular septagon = 7 times b  = 7b units

Q.6. Is 2 p–3> 7 an algebraic equation? __________ 

Ans. No

No, 2p−3>7 is not an algebraic equation.

An algebraic equation must have an equal sign (=), whereas this expression uses an inequality sign ($>$), making it an inequality rather than an equation.

Q.7. A teacher distributes 6 books per student. How many books are needed if s is the number of students?

Ans. Let number of students be s 
Number of books distributed to 1 student = 6 
Number of books distributed to 's' students =6 times s= 6s

Q.8. Pick out the correct solution from the values given in the bracket next to each equation:

(i) r – 8 = 0 (8, – 8, 0, 1) r = __________

(ii)  (7, 14, 21, 63) t =          __________

(iii)   (1, –1, 64) k =        __________

Ans. (i) r - 8 = 0, 
Transposing -8 to RHS 
we get, r = 8

(ii) t/3 = 21

 Transposing 3 to RHS 
we get, t = 63

(iii) k/8 = 8

Transposing 8 to RHS 
we get, k = 64

Q.9. Complete the table and by inspection of the table find the solution to the equation

Ans. 

t = 16

Q.10. In a game of cricket, there are n children but in football there are children. What does this indicate?

Ans. It indicates that the number of children in the game of football is one-third as there are in the game of cricket.

Q.11. Match the following :

Sol: (i) Solve for x in 5x = 20:

x = 205 = 4

(ii) Solve for x in 8 = x + 3:

x = 8 - 3 = 5

(iii) Solve for x in 12x = 4:

Multiply both sides by x: 12 = 4x
x = 124 = 3

(iv) Solve for x in 8 - x = 2:

Subtract 8: -x = -6
x = 6

Ans.
1. ↔ (b)
2. ↔ (c)
3. ↔ (d)
4.  ↔ (a)

Q.12. Give a mathematical expression for the statement: m multiplied by 5 and 6 subtracted from the product.

Ans: m multiplied by 5= 5 m 
6 subtracted from the product, the algebric equation becomes = 5m-6

Q.13.   l = __________

Ans. Transposing 2 to RHS , we get

I = 18 × 2

I = 36

Q.14. n – 12 = – 19  n = __________

Ans.The image shows the solution to the equation $n-12=-19n\; -\; 12\; =\; -19$ n  using the following steps:

Transposing  −12 to the RHS.  When transposing, the sign changes:

n =−19 + 12n 

Simplifying the RHS :

n=−7n 

Q.15.  m = __________

Ans. Solving the equation 3m/2 = 9 

Transposing 2 to RHS we get ,

3m = 9× 2 

3m =18 

Transposing 3 to RHS 

m= 18/3 

m = 6