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Important Questions for Class 6 Maths algebra -1


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Question 1

Give expressions for the following cases.

(a) 71 added to m

(b) 99 subtracted from m

(c) n multiplied by 8

(d) p divided by 10

(e) 11 subtracted from − x 

(f) − y multiplied by 1

(g) − x divided by 11

(h) z multiplied by – 5

Question 2

Which out of the following are expressions with both variable and numbers only?

(a) p -9

 (b) (11 × 20) – 8x

(c) 5 (21 − 7) + 7 × 2+p

 (d) 1

(e) 11x-1 

(f) 5 +4+3+2+1

(g) (7 × 8) − (8 × 7) − 45 +11x

i) 2 times z from which 11 is subtracted

Question 3

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.

(i) Subtraction of z from y.

(ii) One-half of the sum of numbers a and b.

(iii) The number y multiplied by itself.

(iv) One-Eighted of the product of numbers x and y.

(v) Numbers p , q and r  both squared and added.

(vi) Number 5 added to three times the product of number m and n.

(vii) Product of numbers y and z subtracted from 10.

(viii)Sum of numbers and y subtracted from their product.

 

Question 4

(a) Complete the table and by inspection of the table, find the solution to the equation x -11 = 6

x

11

12

13

14

15

16

17

18

19

20

- 11

(b) Complete the table and by inspection of the table, find the solution to the equation 2z = 44

z

14

15

16

17

18

19

20

21

22

2z

(c) Complete the table and find the solution of the equation z/5 = 6 using the table.

z

5

10

15

20

25

30

35

40

45

z/5

1

2

3

 

Question 5

Complete the entries in the third column of the table.

S. No.

Equation

Value of variable

Equation satisfied Yes/No

(a)

y/11 = 4

y = 44

-

(b)

y/11 = 4

y = 33

-

(c)

y/11 = 4

y = 22

-

(d)

4l+2 = 22

l = 20

-

(e)

4l +2= 22

l = 80

-

(f)

4l +2= 22

l = 5

-

(g)

n + 20 = 29

b =5

-

(h)

n + 20 = 29

b = 9

-

(i)

n + 20 = 29

b = 4

-

(j)

x − 8 = 11

x = 13

-

(k)

x − 8 = 11

X = 19

-

(l)

x − 8 = 11

x = 0

-

(m)

q + 3 = 0

p = -3

-

(n)

q + 3 = 0

p = 1

-

(o)

q + 3 = 0

p = 0

-

(p)

q + 3 = 0

P = − 1

-

(q)

q + 3 = 0

P = − 2

-

 

Answer

1)

a)m+71

b)m-99

c) 8n

d) p/10

e) -x-11

f) -y

g)-x/11

h)-5z

i) 2z-11

 

2) Both number and variable expression are a,b,c,e,g

3)

i) y-z

ii) (1/2)(a+b)

iii) y2

iv) xy/8

v)

p2 + q2 +r2

vi)3mn+5

vii) 10-yz

viii) xy –(x+y)

 


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