10th Grade > Mathematics
LINEAR EQUATIONS MCQs
Linear Equations In One Variable, Linear Equations In Two Variables, Pair Of Linear Equations In Two Variables (8th, 9th And 10th Grade)
Total Questions : 74
| Page 2 of 8 pages
Answer: Option B. -> False
:
B
A variable is an unknown quantity whose value is not constant.
In the given equation3a + b + 6ab = 0, "a" and "b" are the variables. "ab" is not considered as a separate variable because, if "a" and "b" are individually found, "ab" can be found. Hence, there are 2 variables in the equation and not 3.
:
B
A variable is an unknown quantity whose value is not constant.
In the given equation3a + b + 6ab = 0, "a" and "b" are the variables. "ab" is not considered as a separate variable because, if "a" and "b" are individually found, "ab" can be found. Hence, there are 2 variables in the equation and not 3.
Answer: Option A. -> True
:
A
37+x=177
x=(177)–(37)=147=2
Hence, the solution of the equation 37+x=177is 2.
Hence the given statement is true.
:
A
37+x=177
x=(177)–(37)=147=2
Hence, the solution of the equation 37+x=177is 2.
Hence the given statement is true.
Answer: Option A. -> 4
:
A
Let, the number which Anitainitially thought of be x.
She subtracts32from xand thenmultiplies it by 8.
⇒(x–32)×8
According to the question,(x–32)×8=5×x8x–12=5x8x–5x=123x=12x=123x=4
Thus, the number that Anita initially thought of is 4.
:
A
Let, the number which Anitainitially thought of be x.
She subtracts32from xand thenmultiplies it by 8.
⇒(x–32)×8
According to the question,(x–32)×8=5×x8x–12=5x8x–5x=123x=12x=123x=4
Thus, the number that Anita initially thought of is 4.
Answer: Option C. -> 10
:
C
Let one part be x.
Then, other part = 28−x
Given that
65 of one part = 23 of the other
⇒65x=23(28−x)
⇒(6×32)x=5(28−x)
⇒9x=5(28−x)
⇒9x=140−5x
⇒14x=140
⇒x=10
The other part would be 28 - 10 = 18
Hence, thesmallerpart is 10.
:
C
Let one part be x.
Then, other part = 28−x
Given that
65 of one part = 23 of the other
⇒65x=23(28−x)
⇒(6×32)x=5(28−x)
⇒9x=5(28−x)
⇒9x=140−5x
⇒14x=140
⇒x=10
The other part would be 28 - 10 = 18
Hence, thesmallerpart is 10.
Answer: Option C. -> 52
:
C
Given, the sum of the digits of a two-digit number is 7.
Let the units digit of theoriginal number bex.
Then, the tens digit of theoriginal number is7−x.
The two-digit number=10(7−x)+(1×x)
=70−10x+x=70−9x
When the digits are interchanged,the new number is10(x)+1(7−x)=10x−x+7=9x+7
New number = Original number - 27
9x+7=70−9x−2718x=36x=2
The tens digit=7−x=7−2=5
∴The original number is 52.
:
C
Given, the sum of the digits of a two-digit number is 7.
Let the units digit of theoriginal number bex.
Then, the tens digit of theoriginal number is7−x.
The two-digit number=10(7−x)+(1×x)
=70−10x+x=70−9x
When the digits are interchanged,the new number is10(x)+1(7−x)=10x−x+7=9x+7
New number = Original number - 27
9x+7=70−9x−2718x=36x=2
The tens digit=7−x=7−2=5
∴The original number is 52.
Answer: Option D. -> 8, -13, 5
:
D
We have y−3x+1=0
For x=3
⇒y−3(3)+1=0
∴y=8
For x=−4
⇒y−3(−4)+1=0
∴y=−13
For x=2
⇒y−3(2)+1=0
∴y=5
Thus, the values of y ifx=[3,−4,2] are 8, -13 and 5 respectively.
:
D
We have y−3x+1=0
For x=3
⇒y−3(3)+1=0
∴y=8
For x=−4
⇒y−3(−4)+1=0
∴y=−13
For x=2
⇒y−3(2)+1=0
∴y=5
Thus, the values of y ifx=[3,−4,2] are 8, -13 and 5 respectively.
Answer: Option B. -> (32,0)
:
B
Let the line intersects at point(x, y).
We know that if a line intersects the x-axis then the y coordinate of the point at which it intersects will be0.
⇒ y = 0
On substituting y = 0in the given equation, we get
6x+0=9
⇒x=32
Thus, the point at whichthe given line intersects the x-axis is (32,0).
:
B
Let the line intersects at point(x, y).
We know that if a line intersects the x-axis then the y coordinate of the point at which it intersects will be0.
⇒ y = 0
On substituting y = 0in the given equation, we get
6x+0=9
⇒x=32
Thus, the point at whichthe given line intersects the x-axis is (32,0).
Answer: Option B. -> 12x+4y+3=0;4x+4y+4=0
:
B
Two linear equations in same two variables are called pair of linear equation in two variables.
12x+4y+3=0and4x+4y+4=0
are linear equations in same two variables.
:
B
Two linear equations in same two variables are called pair of linear equation in two variables.
12x+4y+3=0and4x+4y+4=0
are linear equations in same two variables.
Answer: Option A. -> a=−7,b=1,c=4
:
A
The standard form of a linear equation is ax+by+c=0.
The given equation is y=7x−4.
It can be rewritten as −7x+y+4=0.
⇒a=−7,b=1andc=4.
But the equation canalso be written as,
7x−y−4=0.
⇒a=+7,b=−1andc=−4.
:
A
The standard form of a linear equation is ax+by+c=0.
The given equation is y=7x−4.
It can be rewritten as −7x+y+4=0.
⇒a=−7,b=1andc=4.
But the equation canalso be written as,
7x−y−4=0.
⇒a=+7,b=−1andc=−4.
Answer: Option A. -> True
:
A
The line intersects the yaxis when the value of x coordinateis 0.
Thus, on yaxis,x=0.
Substituting this value in the given equation:
⇒5y=10
⇒y=2
Thus, the line intersects the yaxis at point (0,2).
:
A
The line intersects the yaxis when the value of x coordinateis 0.
Thus, on yaxis,x=0.
Substituting this value in the given equation:
⇒5y=10
⇒y=2
Thus, the line intersects the yaxis at point (0,2).
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