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Published on: 26/08/2019
Simple Equations
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Questions + Answers key
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1.
Five times of a number minus 4 gives 6. Find which of the following is the number?
20
2
15
35
2.
The sum of the ages of three persons is 50 years. What will be the sum of their ages after 5 years ?
65
55
150
21
3.
The sum of three times a number and 11 is 32. Find the number?
6
7
10
21
4.
The equation having -3 as a solution is
x + 3 = 1
8 + 2x = 3
10 + 3x = 1
2x + 1 = 3
5.
If k + 7 = 16, then the value of 8k - 72 is equal to
0
1
112
56
6.
If k + 2 = 6, then the value of 4k + 12 is equal to
16
-12
28
-30
7.
The solution of the equation mx + n = 0 is
\(\frac{-n}{m}\)
\(\frac{n}{m}\)
\(\frac{2n}{m}\)
\(\frac{m}{n}\)
8.
x - 1 = ______________; when 2x = 2
9.
x + 7 = 10 has the solution _____________
10.
If 5 is added to three times a number, it becomes the same as 7 is subtracted from four times the same number. This fact can be represented as _______________
11.
In whole numbers, x + 8 = 12 -4 has ____________ solution.
12.
In natural number, x - 5 = - 5 has _____________ solution.
13.
If z + 3 = 5, then z = ____________
14.
If 2x + 3 = 5, then value of 3x + 2is ____________.
15.
_________ is the solution of 3x + 10= 7.
16.
__________ is the solution of equation 3x - 5 = 7.
17.
If x + 2 = 7, then x = ___________.
18.
\(\frac { 3 }{ 2 } \) is the solution of the equation 8x - 5 =7.
19.
One third of a number added to itself gives 10, can be represented as \(\frac { x }{ 3 } \) + 10 = x.
20.
\(\frac { 9 }{ 5 } \) is the solution of the equation 4x - 1 = 8.
21.
5 is the solution of the equation 3x + 2 = 17.
22.
\(\frac{2}{3}\) is the solution of the equation 8x + 5 = 6.
23.
4x - 5 = 7 does not have an integer as its solutions.
24.
\(\frac{9}{4}\) is the solution of the equation 4x - 1= 8.
25.
6 is the solution of the equation 4x + 3 = 15.
26.
One-fourth the sum of a number and 5 is 10
27.
The product of 20 and half of a number added to 30 is 50.
28.
\(\frac{14}{6}=\frac{3}{2}x\)
29.
\(\frac{11}{2}x=\frac{14}{2}\)
30.
\(\frac{1}{2}x+4=2\)
1.
(b)
2
2.
(a)
65
3.
(b)
7
4.
(c)
10 + 3x = 1
5.
(a)
0
6.
(c)
28
7.
(a)
\(\frac{-n}{m}\)
8.
( )
0
9.
( )
x = 3
10.
( )
3x + 5 = 4x - 7
11.
( )
x = 0
12.
( )
No
13.
( )
2
14.
Given, 2x + 3 = 5
2x = 5 - 3 \(\Rightarrow\) 2x = 2 \(\Rightarrow x=\frac{2}{2}=1\)
Put x = 1 in given expression (3x + 2)
= 3 x 1 + 2 = 3 + 2 = 5
Hence, 3x + 2 = 5, if x =1.
So, if 2x + 3 = 5, the value of 3x + 2 is 5.
15.
Given, 3x + 10 = 7
3x = 7 -10 \(\Rightarrow\) 3x = - 3
\(\Rightarrow x=\frac{-3}{3}=-1\)
-1 is the solution of 3x + 10 = 7.
16.
Given, 3x - 5 = 7
3x = 7 + 5 \(\Rightarrow\) 3x = 12 \(\Rightarrow x=\frac{12}{3}=4\)
\(\therefore\) 4 is the solution of the equation 3x - 5 = 7.
17.
Given, x + 2 = 7 \(\Rightarrow\) x = 7 - 2 = 5
So, if x + 2 = 7, then x = 5
18.
(a)
19.
(b)
20.
(b)
21.
(a)
22.
(b)
23.
(b)
24.
(a)
25.
(b)
26.
( )
\(\frac{1}{4}\)(x + 5) = 10
27.
( )
\(\frac{1}{2}\)x \(\times\) 20 + 30 = 50
28.
( )
\(x=\frac{14}{9}\)
29.
( )
\(x=\frac{14}{11}\)
30.
( )
x = -4
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CBSE 7th Standard CBSE Subjects
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