Practice the AP 8th Class Maths Bits with Answers Chapter 2 Linear Equations in One Variable on a regular basis so that you can attempt exams with utmost confidence.

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

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
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
B) 4x + 5 = 1

Question 3.
If 2x – 7 = 35 then x =
A) 21
B) 22
C) 23
D) 19
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
C) 17

Question 5.
If 2x – 3 = 4x + 5 ⇒ x =
A) -4
B) 2
C) 3
D) -3
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
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
A) 53

Question 8.
If $$\frac{\mathbf{x}}{-\mathbf{5}}$$ = -1 ⇒ x =
A) 5
B) – 5
C) $$\frac{-1}{5}$$
D) -6
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°
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
C) (x + 5) years

Question 11.
If 2t = 0 then’t’=
A) $$\frac {1}{2}$$
B) 0
C) -3
D) can’t be determine
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) $$\frac{-2}{9}$$
A) $$\frac{9}{2}$$

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

Question 14.
If $$\frac{x+7}{3 x+16}=\frac{4}{7}$$ then x =
A) – 1
B) – 2
C) – 3
D) – 4
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
D) 80

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

Question 19.
3y + 39 = 8 then y = …………………
A) 1
B) $$\frac{1}{2}$$
C) $$\frac{-1}{3}$$
D) $$\frac{-31}{3}$$
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) $$\frac{1}{3}$$
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) $$\frac{2}{9}$$
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
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
D) 8 or -9

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

Question 25.
3x – 4 = 5x – 2 then x = ……………….
A) – 3
B) 4
C) 1
D) – 1
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) $$\frac{1}{9}$$
A) $$\frac{7}{5}$$

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

Question 28.
$$\frac{2 x+3}{3+x}=\frac{5}{2}$$, x = ……………….
A) -9
B) 10
C) 3
D) – 1
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
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
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
A) 11

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

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

Question 37.
3z – 1 = 1 then z = ………………………
A) -1
B) $$\frac {3}{2}$$
C) $$\frac {2}{3}$$
D) 1
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
C) 9x = 9

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

Question 41.
43 k = 0.086 then k = ………………..
A) 0.02
B) 0.7
C) 0.2
D) 0.002
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
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
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
B) x – 1 = 5

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

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

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

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

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

Question 50.
4x – 7 = 11 then x = ……………………..
A) 10
B) 6
C) 9
D) none
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
C) 1

Question 52.
x – $$\frac {1}{2}$$ = $$\frac {-1}{2}$$ then x = ………………..
A) – 1
B) 0
C) 9
D) 1
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
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
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
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
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
B) 15 years

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

Question 59.
$$\frac {2}{3}$$ y = 1 then y = …………………..
A) $$\frac {3}{2}$$
B) 1
C) $$\frac {2}{3}$$
D) $$\frac {1}{2}$$
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
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) $$\frac{7}{9}$$
D) $$\frac{7}{9}$$

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

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

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

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

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

Question 67.
$$\frac {1}{2}$$ P = $$\frac {1}{2}$$ then p = ……………….
A) $$\frac {1}{4}$$
B) -1
C) 2
D) 1
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
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
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
D) none

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

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

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

Question 75.
The degree of a Linear equation is …………
A) 1
B) 3
C) – 2
D) – 1
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
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
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)
A) $$\frac {1}{2}$$ (t + 3)

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

Question 80.
2x = 1 + x, x = …………………..
A) 0
B) 1
C) – 3
D) – 7
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
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°
B) 50°

Question 83.
x – 1 = $$\frac{7}{4}$$ then x = ………………
A) $$\frac{11}{4}$$
B) $$\frac{4}{11}$$
C) $$\frac{8}{41}$$
D) $$\frac{9}{3}$$
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
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
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
D) n0ne

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

Question 88.
In the figure x + y = ………………

A) 100°
B) 180°
C) 110°
D) 170°
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
D) 39

Question 90.
In the figure x° = ………………

A) 115°
B) 130°
C) 120°
D) 160°
C) 120°

Question 91.
In the figure a + b = ……………….

A) 180°
B) 90°
C) 188°
D) 110°
B) 90°

Question 92.
In the figure x = ………………..

A) 60°
B) 20°
C) 80°
D) 40°
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
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
D) – 3

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

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

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

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

Question 99.
3x + 4 = 2 (x – x) then x = ……………..
A) $$\frac{4}{3}$$
B) $$\frac{-4}{3}$$
C) 3
D) -4
B) $$\frac{-4}{3}$$
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) $$\frac {3}{9}$$
D) $$\frac {3}{9}$$