Algebra Class 6 Worksheet Maths Chapter 11

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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 square is m units, then what is it's perimeter? __________ 

Ans. All sides of square are equal has 4 sides 
Let one side of square be m 
Therefore , perimeter of square = 4 times, 

= 4m 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:

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

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

Q.9. 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.10. 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