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Important Questions for Class 6 Maths algebra




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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) $(11 \times 20) - 8x$
(c) $5 (21 - 7) + 7 \times 2+p$
(d) $1$
(e) $11x-1$ (f) $5 +4+3+2+1$
(g) $(7 \times 8) - (8 \times 7) - 45 +11x$
(i) $2z-11$
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)
$\frac {y}{11}= 4$
$y= 44$
-
(b)
$\frac {y}{11}= 4$
$y= 33$
-
(c)
$\frac {y}{11}= 4$
$y= 22$
-
(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)
$p+ 3 = 0$
$p= 0$
-
(p)
$q+ 3 = 0$
$p= - 1$
-
(q)
$q + 3 = 0$
$p= -2$
-

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Practice Question

Question 1 What is $\frac {1}{2} + \frac {3}{4}$ ?
A)$\frac {5}{4}$
B)$\frac {1}{4}$
C)$1$
D)$\frac {4}{5}$
Question 2 Pinhole camera produces an ?
A)An erect and small image
B)an Inverted and small image
C)An inverted and enlarged image
D)None of the above