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Published on: 29/08/2019
Linear Equations in One Variable
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Questions + Answers key
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1.
RHS means the expression on the right of the equality sign and LHS means the expression on the left of the equality sign.
2.
When we divide by same non-zero number on both sides (i.e. LHS and RHS) of an equation. Then, balance is disturbed.
3.
When we add same number on both sides of an equation. Then, balance between LHS and RHS is not disturbed.
4.
\(\frac { 7p }{ 3 } +6=1\) When +6 is transposed to RHS, then it \(\frac { 7p }{ 3 } =\frac { 1 }{ 6 } \)
5.
13z + 5 =9 is the linear equation in one variable
6.
If the sum of two consecutive numbers is 71 and one of them being x, then which of the following is the other number?
x + (x + 1) = 71
x + (x + 2) = 71
x + x = 71
none of these.
7.
If \({2\over 5}x=\)4; then which of the following is the value of x?
10
-10
\({-8\over 5}\)
\({8\over 5}\)
8.
If 8x -13 = 25 + 16x, then x is
a fraction
an integer
a rational number
Cannot be solved
9.
The Solution of the equation ax+b = 0 is
\(x=\frac { a }{ b } \)
x = -b
\(x=\frac { -b }{ a } \)
\(x=\frac { b }{ a } \)
10.
An equation which, when reduced to a simple form, involve no power of the variable quantity higher than _______ is called a simple equation.
11.
If 4t - 3 - (3t + 1)= 5t - 4, then the root of t is.....
12.
A term of an equation can be transposed to the other side by changing its.........
13.
Any value of the variable, which makes both sides of an equation equal is known as a .......... of the equation.
14.
In a linear equation, ............power of the variable appearing in the equation is one.
15.
\({x+1\over 2x-1}={1\over 3}\)
16.
\({x-2\over x+1}={1\over 2}\)
17.
\({x\over 3}+{1\over 4}={x\over 2}-{1\over 5}\)
18.
-5
19.
7
1.
(a)
2.
(b)
3.
(a)
4.
(b)
5.
(a)
6.
(d)
none of these.
7.
(a)
10
8.
(c)
a rational number
9.
(c)
\(x=\frac { -b }{ a } \)
10.
( )
One
11.
( )
4t - 3 - (3t + 1)= 5t - 4
\(\Rightarrow\) 4t - 3 - 3t - 1= 5t - 4 \(\Rightarrow\) t - 4 = 5t - 4
\(\Rightarrow\) t - 5t =-4 +4 -4t = 0 \(\Rightarrow\) t = 0
12.
( )
Sign
13.
( )
Solution
14.
( )
Highest
15.
( )
x = -4
16.
( )
x = 5
17.
( )
\(x={27\over 10}\)
18.
( )
\(\frac { x }{ 5 } =\frac { x-1 }{ 6 } \)
19.
( )
5(x-1)-2(x+ 8)=0
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