In this page we have Important Questions for Class 6 Maths algebra -1 . Hope you like them and do not forget to like , social share and comment at the end of the page.
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 x 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 |
… |
x - 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) y^{2}
iv) xy/8
v)
p^{2} + q^{2} +r^{2}
vi)3mn+5
vii) 10-yz
viii) xy –(x+y)