AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers

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AP State Syllabus 8th Class Maths Bits 2nd Lesson Linear Equations in One Variable with Answers

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Question 1.
The form of a two – digit number ?
A) 10 × ten’s digit + unit’s digit
B) 10 × unit’s digit + ten’s digit
C) 10 × ten’s digit – unit’s digit
D) 10 × unit’s digit – ten’s digit
Answer:
A) 10 × ten’s digit + unit’s digit

Question 2.
Which of the following is a linear equation ?
A) 2x² + 5 = 0
B) 4x + 5 = 1
C) 2xy + z = 5
D) All the above
Answer:
B) 4x + 5 = 1

Question 3.
If 2x – 7 = 35 then x =
A) 21
B) 22
C) 23
D) 19
Answer:
A) 21

Question 4.
The slim of two numbers is 29. If one number is 5 greater than the other, then the bigger number is
A) 12
B) 15
C) 17
D) 14
Answer:
C) 17

Question 5.
If 2x – 3 = 4x + 5 ⇒ x =
A) -4
B) 2
C) 3
D) -3
Answer:
A) -4

Question 6.
If 5 is subtracted from 4 times of number gives 19, then the number is
A) 4
B) 6
C) 8
D) 5
Answer:
B) 6

Question 7.
The length of a rectangular park is 17m more than the breadth. If its perimeter is 178 m, then the length is (in mts)
A) 53
B) 36
C) 17
D) 49
Answer:
A) 53

Question 8.
If \(\frac{\mathbf{x}}{-\mathbf{5}}\) = -1 ⇒ x =
A) 5
B) – 5
C) \(\frac{-1}{5}\)
D) -6
Answer:
A) 5

Question 9.
The difference of two linear angles is 34 then the smaller angle is
A) 49°
B) 107°
C) 73°
D) 83°
Answer:
C) 73°

Question 10.
Present age of Rajesh is x years. After 5 years his age will be
A) x/5 years
B) (x – 5) years
C) (x + 5) years
D) (5 – x) years
Answer:
C) (x + 5) years

Question 11.
If 2t = 0 then’t’=
A) \(\frac {1}{2}\)
B) 0
C) -3
D) can’t be determine
Answer:
B) 0

Question 12.
If 5(p – 3) = 3(p – 2) then p =
A) \(\frac{9}{2}\)
B) \(\frac{-9}{2}\)
C) \(\frac{2}{9}\)
D) \(\frac{-2}{9}\)
Answer:
A) \(\frac{9}{2}\)

Question 13.
If \(\frac{x}{2}+\frac{x}{3}\) = 5 then x =
A) 5
B) 6
C) 4
D) 30
Answer:
B) 6

Question 14.
If \(\frac{x+7}{3 x+16}=\frac{4}{7}\) then x =
A) – 1
B) – 2
C) – 3
D) – 4
Answer:
C) – 3

Question 15.
\(\frac{4}{5}\) times of a number is 4 greater than \(\frac{3}{4}\) times of the same number. Then the number is
A) 20
B) 30
C) 60
D) 80
Answer:
D) 80

Question 16.
2015 k = 2016 – 2016 then k = ………………..
A) 1
B) \(\frac{1}{2015}\)
C) 0
D) 9
Answer:
C) 0

Question 17.
In a fraction the denominator is 6 more than the numerator. If 3 is added to numerator the fraction equals to 2/3 then the fraction is ……………………..
A) 3/9
B) 2/9
C) 2/6
D) 3/6
Answer:
A) 3/9

Question 18.
\(\frac{x-4}{7}-\frac{(x+4)}{5}=\frac{x+3}{7}\) then x = ………………..
A) 14
B) 7
C) 9
D) – 9
Answer:
D) – 9

Question 19.
3y + 39 = 8 then y = …………………
A) 1
B) \(\frac{1}{2}\)
C) \(\frac{-1}{3}\)
D) \(\frac{-31}{3}\)
Answer:
D) \(\frac{-31}{3}\)

Question 20.
3 (t – 3) = 5 (2t – 1) then t =
A) \(\frac{-4}{7}\)
B) \(\frac{7}{4}\)
C) \(\frac{-1}{2}\)
D) \(\frac{1}{3}\)
Answer:
A) \(\frac{-4}{7}\)

Question 21.
If \(\frac{x}{2}-\frac{1}{4}=\frac{x}{3}+\frac{1}{2}\) then X = ………………..
A) \(\frac{1}{2}\)
B) \(\frac{1}{4}\)
C) \(\frac{9}{2}\)
D) \(\frac{2}{9}\)
Answer:
C) \(\frac{9}{2}\)

Question 22.
If \(\frac{5 x+2}{2 x+3}=\frac{12}{7}\) then x = ………………..
A)-3
B) – 1
C) 4
D) 2
Answer:
D) 2

Question 23.
If the product of two consecutive numbers is 7 2 then the smaller number is ………………..
A) \(\frac{-3}{2}\) or 19
B) -4 or 6
C) -8 or 6
D) 8 or -9
Answer:
D) 8 or -9

Question 24.
3x + \(\frac {1}{2}\) = 5 then x = ………………
A) \(\frac {3}{2}\)
B) \(\frac {1}{2}\)
C) 1
D) \(\frac {6}{7}\)
Answer:
A) \(\frac {3}{2}\)

Question 25.
3x – 4 = 5x – 2 then x = ……………….
A) – 3
B) 4
C) 1
D) – 1
Answer:
D) – 1

Question 26.
P – \(\frac{p-1}{2}\) = 1 – \(\frac{p-2}{3}\) then p = ………………..
A) \(\frac{7}{5}\)
B) \(\frac{1}{2}\)
C) \(\frac{1}{4}\)
D) \(\frac{1}{9}\)
Answer:
A) \(\frac{7}{5}\)

Question 27.
\(\frac{1}{4}\) x = 30 then x = ……………….
A) 340
B) 710
C) 120
D) 110
Answer:
C) 120

Question 28.
\(\frac{2 x+3}{3+x}=\frac{5}{2}\), x = ……………….
A) -9
B) 10
C) 3
D) – 1
Answer:
A) -9

Question 29.
Three consecutive numbers can be considered as ……………
A) x, x², x³
B) x, x + 1, x + 2
C) x, x², x – 1
D) x, x – 1, 2x
Answer:
B) x, x + 1, x + 2

Question 30.
2.45x + 1.5 = 3.7x – 2.25 then x = ………………
A) 4
B) 7
C) 3
D) – 1
Answer:
C) 3

Question 31.
6 – \(\frac{x-1}{2}=\frac{x-2}{3}+\frac{3-x}{4}\) x = …………………..
A) 11
B) 10
C) – 6
D) – 4
Answer:
A) 11

Question 32.
3x – x = 0 then x = ……………………..
A) -4
B) -3
C) -1
D) 0
Answer:
D) 0

Question 33.
\(\frac{\mathbf{x}}{5}\) + 11 = \(\frac{1}{15}\) then x = …………………….
A) 1
B) -1
C) 3
D) none
Answer:
D) none

Question 34.
If we divide a number by 7 we get the result as 5, then the number is ……………….
A) 35
B) 10
C) 16
D) 70
Answer:
A) 35

Question 35.
Which of the following is true ?
A) 3x = 10, x = 1
B) 2m = 1, m = 0
C) \(\frac {2}{3}\)x² = 1, x = \(\frac {3}{2}\)
D) 2x – x = 9, x = 9
Answer:
D) 2x – x = 9, x = 9

Question 36.
ax + c = 0 then x = …………………..
A) \(\frac{-c}{a}\)
B) \(\frac{\mathrm{-b}}{\mathrm{a}}\)
C) \(\frac{\mathrm{b}}{\mathrm{a}}\)
D) \(\frac{1}{c}\)
Answer:
A) \(\frac{-c}{a}\)

Question 37.
3z – 1 = 1 then z = ………………………
A) -1
B) \(\frac {3}{2}\)
C) \(\frac {2}{3}\)
D) 1
Answer:
C) \(\frac {2}{3}\)

Question 38.
Which of the following equation has the natural number as solution ?
A) 8x – 3 = 4
B) 2x = 1
C) 9x = 9
D) 3x + 1 = 0
Answer:
C) 9x = 9

Question 39.
3x + 7 = – 20, x = ………………..
A) – 3
B) – 91
C) – 4
D) – 9
Answer:
D) – 9

Question 40.
If x is 3 more then it becomes 7 the equation form of this is ……………………
A) x = 3 + 7
B) x – 1 = 1
C) x – 3 = 4
D) x + 3 = 7
Answer:
D) x + 3 = 7

Question 41.
43 k = 0.086 then k = ………………..
A) 0.02
B) 0.7
C) 0.2
D) 0.002
Answer:
D) 0.002

Question 42.
If y – 15 and 2y + 1 are to be equal then the value of y is ……………..
A) – 16
B) 16
C) 10
D) 20
Answer:
A) – 16

Question 43.
Which of the following equation has ‘5’ as solution ?
A) x – 5 = 1
B) 10x = 50
C) bx = 2
D) 50x = 5
Answer:
B) 10x = 50

Question 44.
The equation x = 6 can be obtained from …………………..
A) 4x = 6
B) x – 1 = 5
C) x + 6 = 7
D) 5x = 66
Answer:
B) x – 1 = 5

Question 45.
-6 + k = – 12 then k = ………………..
A) 3
B) 10
C) – 6
D) 1
Answer:
C) – 6

Question 46.
\(\frac{x}{2}\) = -31 then x = ……………………..
A) 33
B) 11
C) – 60
D) – 62
Answer:
D) – 62

Question 47
…………….. is a solution to 3x = – 1
A) \(\frac{-1}{3}\)
B) 3
C) 1
D) \(\frac{1}{4}\)
Answer:
A) \(\frac{-1}{3}\)

Question 48.
2x + 3 = 5 then 4x + 6 = ………………….
A) 10
B) 16
C) 13
D) 9
Answer:
A) 10

Question 49.
3x = 15 then x – 4 = ………………………
A) 16
B) 7
C) 3
D) 1
Answer:
D) 1

Question 50.
4x – 7 = 11 then x = ……………………..
A) 10
B) 6
C) 9
D) none
Answer:
D) none

Question 51.
3 (x – 5) = 8x – 6. In this equation the number of variables are ………………….
A) 2
B) 3
C) 1
D) 4
Answer:
C) 1

Question 52.
x – \(\frac {1}{2}\) = \(\frac {-1}{2}\) then x = ………………..
A) – 1
B) 0
C) 9
D) 1
Answer:
B) 0

Question 53.
If we add 4 to 8 times of a number we get 60 then the number is ………………..
A) 7
B) 6
C) 9
D) 10
Answer:
A) 7

Question 54.
If we subtract 11 from the double of a number we get 15 then the number is ………………….
A) 18
B) 11
C)10
D) 13
Answer:
D) 13

Question 55.
Krishna Kishore took one number. If he subtracts 7 from the \(\frac {5}{2}\) th value of
the number, he gets \(\frac {11}{2}\) as result then the number is ………………….
A) 9
B) 10
C) 5
D) 6
Answer:
C) 5

Question 56.
In a cricket match Sachin scored double the runs than Sehwag scored. Both were short by 2 runs to the double century then how many runs scored by Sachin ?
A) 132
B) 66
C) 16
D) 98
Answer:
A) 132

Question 57.
The age of Rani’s father was 49 years and he was 4 years more than 3 times the age of Rani, then what is the age of Rani ?
A) 16 years
B) 15 years
C) 9 years
D) 10 years
Answer:
B) 15 years

Question 58.
\(\frac{\mathbf{x}}{5}\) – 1 = 2 then x = ……………….
A) 16
B) 10
C) 19
D) 15
Answer:
D) 15

Question 59.
\(\frac {2}{3}\) y = 1 then y = …………………..
A) \(\frac {3}{2}\)
B) 1
C) \(\frac {2}{3}\)
D) \(\frac {1}{2}\)
Answer:
A) \(\frac {3}{2}\)

Question 60.
The sum of 3 consecutive multiples of 7 was 357 then the smaller number is ………………
A) 112
B) 116
C) 135
D) 171
Answer:
A) 112

Question 61.
\(\frac{-4 y}{7}=\frac{-4}{9}\) then y = ……………………
A) \(\frac{1}{4}\)
B) \(\frac{2}{3}\)
C) \(\frac{1}{9}\)
D) \(\frac{7}{9}\)
Answer:
D) \(\frac{7}{9}\)

Question 62.
\(\frac{1}{3}\) – s = \(\frac{1}{9}\) then s = …………………..
A) 1
B) – 1
C) 2
D) none
Answer:
D) none

Question 63.
An equation in one variable will have ……………… solution (s).
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1

Question 64.
2 (a – 3) = 2 then a = ………………….
A) 14
B) – 3
C) 4
D) 1
Answer:
C) 4

Question 65.
\(\frac{x+2}{x-2}=\frac{7}{3}\) then x = ……………………
A) 5
B) -5
C)10
D) 6
Answer:
A) 5

Question 66.
0.18 (5x – 4) = 0.5x + 0.8, x = ………………
A) 3
B) 3.8
C) 8
D) 1.9
Answer:
B) 3.8

Question 67.
\(\frac {1}{2}\) P = \(\frac {1}{2}\) then p = ……………….
A) \(\frac {1}{4}\)
B) -1
C) 2
D) 1
Answer:
D) 1

Question 68.
\(\frac {3}{4}\) (8x – 1) = 0 then x = ……………………
A) \(\frac {1}{4}\)
[B) latex]\frac {1}{2}[/latex]
C) \(\frac {1}{8}\)
D) -1
Answer:
C) \(\frac {1}{8}\)

Question 69.
If we add 9 to a positive number we get 45, then the number is ……………….
A) 23
B) 35
C) 40
D) 36
Answer:
D) 36

Question 70.
The sum of two consecutive positive numbers is 10 then the smallest one is ………………..
A) 6
B) 7
C) 9
D) none
Answer:
D) none

Question 71.
\(\frac{4 x}{4}=\frac{3}{4}\), x = ………………
A) \(\frac{3}{4}\)
B) \(\frac{-2}{3}\)
C) 1
D) 0
Answer:
A) \(\frac{3}{4}\)

Question 72.
0.3x. + 0.4 = 0.28x + 1.16, x = …………………………
A) 10
B) 38
C) 19
D) 29
Answer:
B) 38

Question 73.
– 5 (x + 4) = 0, x = …………………
A) 41
B) – 4
C) – 3
D) 7
Answer:
B) – 4

Question 74.
Identify linear equation among the following.
A) 3x² y + 7 = 0
B) x² y² + 1 = 0
C) ax + 3y + 7z = 0
D) 9xy²z + 6yz = 0
Answer:
C) ax + 3y + 7z = 0

Question 75.
The degree of a Linear equation is …………
A) 1
B) 3
C) – 2
D) – 1
Answer:
A) 1

Question 76.
Identify a Linear equation in one variable among the following .
A) 2x + y = 0
B) 7x – 3z + 4p = 0
C) 2 (x – 1) + 7 = 9
D) 8x = 3y + 4
Answer:
C) 2 (x – 1) + 7 = 9

Question 77.
\(\frac {4}{3}\) x – x = 1 \(\frac {1}{2}\) then x …………………
A) 0
B) 5
C) 3
D) none
Answer:
D) none

Question 78.
In \(\frac {1}{2}\) (t + 3) = 2 (t + 7), LHS = ………………….
A) \(\frac {1}{2}\) (t + 3)
B) \(\frac {1}{2}\) (t – 3)
C) t – 3
D) \(\frac {1}{2}\) (t – 1)
Answer:
A) \(\frac {1}{2}\) (t + 3)

Question 79.
In an equation LHS ……………….. RHS.
A) >
B) <
C) =
D) ≠
Answer:
C) =

Question 80.
2x = 1 + x, x = …………………..
A) 0
B) 1
C) – 3
D) – 7
Answer:
B) 1

Question 81.
After 12 years the age of Ramu is 3 times the age before he was 4 years then his present age is ………………. years.
A) 16
B) 10
C) 9
D) none
Answer:
D) none

Question 82.
The difference between two complementary angles is 10° then the largest angle is …………………..
A) 40°
B) 50°
C) 70°
D) 60°
Answer:
B) 50°

Question 83.
x – 1 = \(\frac{7}{4}\) then x = ………………
A) \(\frac{11}{4}\)
B) \(\frac{4}{11}\)
C) \(\frac{8}{41}\)
D) \(\frac{9}{3}\)
Answer:
A) \(\frac{11}{4}\)

Question 84.
If we add half a number to it we get 72 then the number is …………………
A) 38
B) 48
C) 64
D) 90
Answer:
B) 48

Question 85.
One person sold a radio at 10% profit then he gets ? 714 then the C.P of that radio was …………………..
A) ₹ 160
B) ₹ 140
C) ₹ 120
D) ₹ 680
Answer:
D) ₹ 680

Question 86.
\(\frac{6}{7}-\frac{5}{4}-\frac{1}{3}\) x + 2x = 0 then x = ………………….
A) \(\frac{133}{196}\)
B) \(\frac{1}{194}\)
C) \(\frac{3}{196}\)
D) n0ne
Answer:
D) n0ne

Question 87.
\(\frac{7}{4}\) – p = 11, p = ………………
A) \(\frac{-7}{2}\)
B) \(\frac{-3}{4}\)
C) \(\frac{-37}{4}\)
D) \(\frac{7}{4}\)
Answer:
C) \(\frac{-37}{4}\)

Question 88.
In the figure x + y = ………………
AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers 1
A) 100°
B) 180°
C) 110°
D) 170°
Answer:
B) 180°

Question 89.
If we subtract 5 from 4 times of a number we get 19 then the number is ………………
A) 34
B) 29
C) 44
D) 39
Answer:
D) 39

Question 90.
In the figure x° = ………………
AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers 2
A) 115°
B) 130°
C) 120°
D) 160°
Answer:
C) 120°

Question 91.
In the figure a + b = ……………….
AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers 3
A) 180°
B) 90°
C) 188°
D) 110°
Answer:
B) 90°

Question 92.
In the figure x = ………………..
AP 8th Class Maths Bits Chapter 2 Linear Equations in One Variable with Answers 4
A) 60°
B) 20°
C) 80°
D) 40°
Answer:
D) 40°

Question 93.
In 5 (2x + 1) = x – \(\frac {9}{2}\) RHS = ……………………
A) 10x + 1
B) x – \(\frac {9}{2}\)
C) 10x – x
D) 8x + 1
Answer:
B) x – \(\frac {9}{2}\)

Question 94.
\(\frac{3 x+16}{x+7}=\frac{7}{4}\), x =
A) 4
B) 3
C) 8
D) – 3
Answer:
D) – 3

Question 95.
\(\frac{x-4}{7}\) = 7 – 7, x = ……………..
A) 4
B) 6
C) – 14
D) -3
Answer:
A) 4

Question 96.
We can ……………….. the variables from one side to another side like constants.
A) transpose
B) balance
C) property
D) none
Answer:
A) transpose

Question 97.
If we double 2x we get ……………….
A) 3x
B) x
C) 4x
D) \(\frac{x}{4}\)
Answer:
C) 4x

Question 98.
The number of variables in x² + y = z + 7 is ………………
A) 1
B) 2
C) 4
D) 3
Answer:
D) 3

Question 99.
3x + 4 = 2 (x – x) then x = ……………..
A) \(\frac{4}{3}\)
B) \(\frac{-4}{3}\)
C) 3
D) -4
Answer:
B) \(\frac{-4}{3}\)

Question 100.
In a fraction numerator is 6 less than the denominator. If 3 is added to the fraction it becomes \(\frac {2}{3}\) then the fraction is …………………..
A) \(\frac {1}{4}\)
B) \(\frac {1}{2}\)
C) \(\frac {3}{8}\)
D) \(\frac {3}{9}\)
Answer:
D) \(\frac {3}{9}\)