MCQ on Simple Equations for Class 7
Class 7 Maths Chapter 4 Simple Equations MCQ
MCQ of Simple Equations Class 7
I. Multiple Choice Questions:
Question 1.
If x – \(\frac { 1 }{ 2 }\) = 1, then x = _____ ( )
A) \(\frac { 1 }{ 7 }\)
B) \(\frac { 3 }{ 4 }\)
C) 1
D) 1.5
Answer:
D) 1.5
Question 2.
If 1 – 8x = 1, then x = _____ ( )
A) 0
B) -1
C) -2
D) 8
Answer:
A) 0
Question 3.
If 4(x – 3) = 12, then x = _____ ( )
A) -6
B) 4
C) 6
D) -3
Answer:
C) 6
Question 4.
If \(\frac{x-1}{2}\) = 4 then x = _____ ( )
A) 4
B) 6
C) 10
D) 9
Answer:
D) 9
Question 5.
If \(9\left(x-\frac{1}{2}\right)\) = 0, then x = _____ ( )
A) -3
B) 2
C) \(\frac{1}{2}\)
D) \(\frac{-1}{2}\)
Answer:
C) \(\frac{1}{2}\)
Question 6.
0.5 x + 0.55 = 1, then x = _____ ( )
A) \(\frac{1}{2}\)
B) \(\frac{1}{3}\)
C) 0.5
D) None
Answer:
D) None
Question 7.
If \(\frac{3}{2}\)(x – 2) = 1, then x = _____ ( )
A) \(\frac{3}{8}\)
B) \(\frac{8}{3}\)
C) \(\frac{1}{4}\)
Answer:
B) \(\frac{8}{3}\)
Question 8.
If 2x + 1 = -1, then x = _____ ( )
A) 4
B) 1
C) -1
D) -3
Answer:
C) -1
Question 9.
If 3p – 2 = 8, then x = _____ ( )
A) \(\frac{10}{3}\)
B) \(\frac{3}{7}\)
C) \(\frac{1}{4}\)
D) \(\frac{1}{3}\)
Answer:
A) \(\frac{10}{3}\)
Question 10.
If \(2\left(x-\frac{1}{2}\right)\) = 4, then x = _____ ( )
A) \(\frac{1}{2}\)
B) \(\frac{5}{2}\)
C) \(\frac{1}{5}\)
D) \(\frac{1}{4}\)
Answer:
B) \(\frac{5}{2}\)
Question 11.
If p – \(\frac{1}{2}\) = 3\(\frac{1}{2}\), then p = _____ ( )
A) 4
B) \(\frac{4}{5}\)
C) \(\frac{3}{2}\)
D) \(\frac{7}{5}\)
Answer:
A) 4
Question 12.
If – 4b + 1 = -9, then b = _____ ( )
A) \(\frac{1}{4}\)
B) \(\frac{1}{3}\)
C) \(\frac{-2}{5}\)
D) \(\frac{5}{2}\)
Answer:
D) \(\frac{5}{2}\)
Question 13.
If 2c – 3 = 3 – 3c, then c = _____ ( )
A) \(\frac{1}{5}\)
B) \(\frac{1}{6}\)
C) \(\frac{6}{5}\)
D) \(\frac{5}{6}\)
Answer:
C) \(\frac{6}{5}\)
Question 14.
If \(\frac{3x}{2}\) = 1, then x = _____ ( )
A) \(\frac{2}{3}\)
B) \(\frac{3}{2}\)
C) \(\frac{1}{5}\)
D) 1
Answer:
A) \(\frac{2}{3}\)
Question 15.
If 5q = – 30, then q = _____ ( )
A) 9
B) -5
C) 6
D) -6
Answer:
D) -6
Question 16.
If 15 – x = 1, then x = _____ ( )
A) -2
B) 4
C) -11
D) 20
Answer:
D) 20
Question 17.
If \(\frac{x}{2}\) = -2, then x = _____ ( )
A) -4
B) 4
C) -11
D) 20
Answer:
A) -4
Question 18.
“3 is added to twice of P” symbolic form _____ ( )
A) p – 1
B) 1 + 2p
C) 3p + 1
D) 3 + 2p
Answer:
D) 3 + 2p
Question 19.
Which of the following is a simple equation?
A) x – 2x = 4 + 5
B) x2 – x = 1
C) 3x – 1 = x3 – 1
D) all the above
Answer:
A) x – 2x = 4 + 5
Question 20.
\(9\left(x+\frac{3}{7}\right)\) = 0, then x = _____ ( )
A) \(\frac{7}{4}\)
B) \(\frac{1}{2}\)
C) \(\frac{-3}{7}\)
D) \(\frac{7}{3}\)
Answer:
C) \(\frac{-3}{7}\)
Question 21.
Which of the following number when divided by 4 gives quotient 5 ? ( )
A) 30
B) 20
C) 60
D) 201
Answer:
B) 20
Question 22.
If – 32 x = -64, then x _____ ( )
A) 2
B) -2
C) 3
D) -3
Answer:
A) 2
Question 23.
If \(\frac { d }{ 2 }\) – 1 = 11, then d = ____ ( )
A) 19
B) 12
C) 24
D) 16
Answer:
C) 24
Question 24.
x = -4 is a Solution to ____ ( )
A) x + 4 = 0
B) x + 4 = 7
C) x – 3 = 1
D) x – 1 = 0
Answer:
A) x + 4 = 0
Question 25.
Twice of a number added to ‘-1’ gives result ‘3’, then the number is ______ ( )
A) -4
B) 3
C) -2
D) 2
Answer:
D) 2
Question 26.
One fifth of a number is 20, then the number is ______ ( )
A) 100
B) 200
C) 520
D) 110
Answer:
A) 100
Question 27.
2x = x + 1, x = _____ ( )
A) 2
B) 0
C) 1
D) -1
Answer:
C) 1
Question 28.
The value of 2(x – 3) at x = 0, is _____
A) 0
B) 4
C) 6
D) -6
Answer:
D) -6
Question 29.
If\(\frac { 1 }{ 4 }\)(x + 1) = \(\frac { 1 }{ 16 }\), then x = _____ ( )
A) \(\frac { -4 }{ 3 }\)
B) \(\frac { -3 }{ 4 }\)
C) \(\frac { 1 }{ 2 }\)
D) \(\frac { -1 }{ 2 }\)
Answer:
B) \(\frac { -3 }{ 4 }\)
Question 30.
99x = 100x – 1, then x = ______ ( )
A) 1
B) -1
C) 2
D) -2
Answer:
A) 1
Question 31.
Three fourth of a number is 75, then the number is ________ ( )
A) 110
B) 150
C) 100
D) 200
Answer:
C) 100
Question 32.
If \(\frac { d }{ 2 }\) = \(\frac { 3d }{ 4 }\) = 1, then d = _____ ( )
A) -2
B) 3
C) -4
D) 4
Answer:
C) -4
Question 33.
If 0.5(2 – 2x) = 4, then x = ______ ( )
A) -3
B) 3
C) -4
D) 2
Answer:
A) -3
Question 34.
If 7 – 4y = -3, then y = ______ ( )
A) 2
B) 2.5
C) 3
D) 1.5
Answer:
B) 2.5
Question 35.
If r – \(\frac { 1 }{ 2 }\) = \(\frac { 5 }{ 4 }\), then r = ______ ( )
A) \(\frac { 1 }{ 4 }\)
B) \(\frac { 1 }{ 2 }\)
C) \(\frac { 4 }{ 7 }\)
D) \(\frac { 7 }{ 4 }\)
Answer:
D) \(\frac { 7 }{ 4 }\)
Question 36.
2023 x = 0, then x = ______ ( )
A) 20
B) 1
C) 0
D) 2023
Answer:
C) 0
Question 37.
If 15s = 150, then s = _____ ( )
A) 4
B) 9
C) 11
D) 10
Answer:
D) 10
Question 38.
In the equation 3(x – 5) = x + 1, LHS = ______ ( )
A) x – 3
B) 3(x – 5)
C) x – 5
D) x + 1
Answer:
B) 3(x – 5)
Question 39.
0.7x – 1 = 1.5, then x = ______ ( )
A) 6.12
B) 8
C) 4.1
D) 3.57
Answer:
D) 3.57
Question 40.
In the equation x – 4 = 9\(\left(x-\frac{1}{2}\right)\), then RHS = ______ ( )
A) 9x – \(\frac { 3 }{ 2 }\)
B) x – \(\frac { 1 }{ 2 }\)
C) 9\(\left(x-\frac{1}{2}\right)\)
D) 4\(\left(x-\frac{1}{2}\right)\)
Answer:
C) 9\(\left(x-\frac{1}{2}\right)\)
Question 41.
\(\frac { 2x -1 }{ 3 }\) = x, then x = ______ ( )
A) -1
B) 1
C) 2
D) 3
Answer:
A) -1
Question 42.
If \(\frac { 4 }{ B + 2 }\) = -1, then b = ______ ( )
A) 3
B) 2
C) -6
D) -4
Answer:
C) -6
Question 43.
-(x – 1) = 7x + 7, then x = ______ ( )
A) \(\frac { 3 }{ 4 }\)
B) 1
C) \(\frac { -1 }{ 2 }\)
D) \(\frac { -3 }{ 4 }\)
Answer:
D) \(\frac { -3 }{ 4 }\)
Question 44.
If \(\frac { 2 }{ 3 }\)\(\left(3 x-\frac{3}{2}\right)\) = 1, then x = ______ ( )
A) 2
B) 1
C) -1
D) -2
Answer:
B) 1
Question 45.
If 8k + 3 = 27 + 2k, then k = ______ ( )
A) -3
B) 2
C) -4
D) 4
Answer:
D) 4
Question 46.
If \(\frac{9 p}{7-6 p}\) = 15, then p = _____ ( )
A) \(\frac { 3 }{ 22 }\)
B) \(\frac { 5 }{ 22 }\)
C) \(\frac { 9 }{ 35 }\)
D) None
Answer:
D) None
Question 47.
If \(\frac { 3x + 5 }{ 2x – 1 }\) = \(\frac { 1 }{ 2 }\), then x = ______ ( )
A) \(\frac { 1 }{ 4 }\)
B) \(\frac { -11 }{ 4 }\)
C) \(\frac { -3 }{ 4 }\)
D) \(\frac { 1 }{ 2 }\)
Answer:
B) \(\frac { -11 }{ 4 }\)
Question 48.
2r – 1 = 14 + r, then r = _____ ( )
A) 15
B) 10
C) 16
D) 12
Answer:
A) 15
Question 49.
\(\frac { n }{ 2 }\) + \(\frac { 3n }{ 4 }\) = 1, then n = ______ ( )
A) \(\frac { 1 }{ 5 }\)
B) \(\frac { 1 }{ 2 }\)
C) \(\frac { 5 }{ 4 }\)
D) \(\frac { 4 }{ 5 }\)
Answer:
D) \(\frac { 4 }{ 5 }\)
Question 50.
If 0.3x – 1 = 0.2x + 1, then x = ______ ( )
A) 16
B) 10
C) 20
D) 19
Answer:
C) 20
II. Fill in the blanks:
Question 51.
\(\frac { n }{ 2 }\) = \(\frac { 4 }{ 7 }\) then n = ________
Answer:
\(\frac { 8 }{ 7 }\)
Question 52.
Sum of three consecutive number starting with x is __________
Answer:
3x + 3
Question 53.
-(t + 2) – 1 = 0, then t = _______
Answer:
-3
Question 54.
x + 1 = \(\frac { 3 }{ 8 }\), then x = ______
Answer:
\(\frac { -5 }{ 8 }\)
Question 55.
Degree of 200x – 3 = 0 is _______
Answer:
1
Question 56.
Twice of a number is 39, then the number is _______
Answer:
19.5
Question 57.
If 35l = 105, then l = _________
Answer:
3
Question 58.
If 2x – \(\frac { 3 }{ 2 }\) = \(\frac { 1 }{ 2 }\), then x = ________
Answer:
1
Question 59.
m – \(\frac { 9 }{ 4 }\) = 2m, then m = ________
Answer:
\(\frac { -9 }{ 4 }\)
Question 60.
8 + 2x = 5x – 3, then x = _______
Answer:
\(\frac { 11 }{ 3 }\)
Question 61.
\(\frac { n }{ 2 }\) + \(\frac { n }{ 3 }\) = 6, then n = ______
Answer:
\(\frac { 36 }{ 5 }\)
Question 62.
\(\frac { 3 }{ 2 }\) = \(\frac { 3 }{ 2 }\), then y = ______
Answer:
1
Question 63.
If q = \(\frac { 4 }{ 5 }\)(q + 10), then q = ______
Answer:
40
Question 64.
If 5m = 3m + \(\frac { 8 }{ 5 }\), then m = ______
Answer:
\(\frac { 4 }{ 5 }\)
Question 65.
If \(\frac { k }{ 3 }\) – 1 = \(\frac { -1 }{ 2 }\), then k = ______
Answer:
\(\frac { 3 }{ 5 }\)
Question 66.
If 1.3 = \(\frac { y }{ 1.3 }\), then y = _____
Answer:
1.69
Question 67.
If \(\frac { 3x }{ 2 }\) = 18, then x = _______
Answer:
12
Question 68.
\(\frac { 4 }{ 7 }\)l – 1 = \(\frac { 3 }{ 7 }\), then l = ______
Answer:
\(\frac { 5 }{ 2 }\)
Question 69.
If – \(\left(-\frac{3}{2} x\right)\)+1 = \(\frac { 8 }{ 3 }\), then x = ______
Answer:
\(\frac { 10 }{ 9 }\)
Question 70.
If 3y + \(\frac { 1 }{ 3 }\) = 2y + \(\frac { 1 }{ 2 }\), then y = _______
Answer:
\(\frac { 1 }{ 6 }\)
Question 71.
If \(\frac{6 x-2}{9}\) + \(\frac{3 x-1}{18}\) = \(\frac { 1 }{ 3 }\), then x = ______
Answer:
\(\frac { 11 }{ 15 }\)
Question 72.
The perimeter of square of side ‘b’ units is 64 cm, then its area is ______ sq.cm.
Answer:
256
Question 73.
The perimeter of a rectangular field is 1oo cm and its breadth is 20 cm, then its length is _______ cm.
Answer:
30
Question 74.
The perimeter of square whose side is 2a cm is ______
Answer:
8a
Question 75.
“1o times of x is added to 1 gives 9”, the simple equation representing this is _____
Answer:
10x + 1 = 9
Question 76.
Sum of two consecutive odd number starting with 2x + 1 is ___________
Answer:
4x +4
Question 77.
If seven twelth of 144 is x, then 2x = ______
Answer:
168
Question 78.
If 2x – \(\frac { 1 -x }{ 2 }\) = 1, then x = _____
Answer:
\(\frac { 3 }{ 5 }\)
Question 79.
One third of a number added to 3 gives 9, then the number is ______
Answer:
18
Question 80.
2(x + 2) + 3(x – 3) + 4(x – 4) = 0, then x = ______
Answer:
\(\frac{7}{3}\)
Question 81.
In a two digit number, units digit is 1 and tens digit is x and the number is ______
Answer:
2
Question 82.
\(\frac{3 x-1}{1-2 x}\) = 3, then x = _____
Answer:
\(\frac{4}{9}\)
Question 83.
\(\frac{7}{5}\)t = 0, then t = ______
Answer:
0
Question 84.
99x – 99 = – x – 1,then x = _______
Answer:
\(\frac{49}{50}\)
Question 85.
Sum of two consecutive odd number is 52, then the least iium ber is ________
Answer:
25
Question 86.
\(\left(p-\frac{1}{2}\right)\)4= 16,then p= ______
Answer:
\(\frac{9}{2}\)
Question 87.
0.1x – 0.11 = x – 1,then x = ________
Answer:
\(\frac{44}{45}\)
III. Match the following:
Question 88.
| i) x – 3 = 1 | a) \(\frac { 1 }{ 4 }\) |
| ii) – x – 1 = 0 | b) 5 |
| iii) 2x – \(\frac { 1 }{ 2 }\) = 0 | c) 4 |
| iv) \(\frac { p }{ 5 }\) = 1 | d) -1 |
A) i – a, ii – c, iii – d, iv – b
B) i – c, ii – d, iii – a, iv – b
C) i – d, ii – a, iii – c, iv – b
D) i – b, ii – c, iii – a, iv – d
Answer:
B) i – c, ii – d, iii – a, iv – b
Question 89.
| i) 1 = 7x | a) -2 |
| ii) 9 = 4x | b) \(\frac { 1 }{ 7 }\) |
| iii) 4 -x = 1 | c) \(\frac { 9 }{ 4 }\) |
| iv) \(\frac { p }{ 2 }\) = -1 | d) 3 |
A) i – b, ii – c, iii – d, iv – b
B) i – c, ii – a, iii – b, iv – d
C) i – d, ii – a, iii – c, iv – b
D) i – d, ii – a, iii – b, iv – c
Answer:
A) i – b, ii – c, iii – d, iv – b
Question 90.
| 2x – 1 | a) 0 |
| 1 – \(\frac { 9 }{ 4 }\)x | b) 3 |
| 1 – x | c) \(\frac { -1 }{ 2 }\) |
| 2x + 1 | d) 1 |
A) i – d, ii – a, iii – c, iv – b
B) i – c, ii – d, iii – a, iv – b
C) i – d, ii – c, iii – a, iv – b
D) i – a, ii – d, iii – b, iv – c
Answer:
A) i – d, ii – a, iii – c, iv – b
Question 91.
| i) \(\frac { 4 }{ 3 }\)x + \(\frac { 4 }{ 3 }\) | a) 10 |
| ii) 8 – 2x | b) -1 |
| iii) \(\frac { 1 }{ 2 }\)(x + 1) – 1 | c) \(\frac { 1-8 }{ 9 }\) |
| iv) \(\frac { 8 }{ 9 }\)(x) | d) 0 |
A) i – d, ii – a, iii – c, iv – b
B) i – a, ii – c, iii – b, iv – d
C) i – a, ii – c, iii – d, iv – b
D) i – d, ii – a, iii – b, iv – c
Answer:
D) i – d, ii – a, iii – b, iv – c
Question 92.
| i) Twice of x is added to 3 | a) \(\frac { 2l }{ 3 }\) |
| ii) 1 is subtracted from 9 times of p | b) 2x +3 |
| iii) Two third of l | c) 9 – 3y |
| iv) Thrice of y is subtracted from 9 | c) 9p – 1 |
A) i – c, ii – d, iii – b, iv – a
B) i – b, ii – d, iii – a, iv – c
C) i – d, ii – a, iii – b, iv – c
D) i – a, ii – d, iii – b, iv – c
Answer:
B) i – b, ii – d, iii – a, iv – c
Question 93.
| i) One fourth of x is added to -9 | a) \(\frac { 4 }{ 5 }\)z + 7 |
| ii) Four fifth of z is added to 7 | b) 3x – 2 |
| iii) half of p is added to twice of p | c) \(\frac { x }{ 4 }\) – 9 |
| iv) -2 is subtracted from 3x | d) \(\frac { p }{ 2 }\) + 2p |
A) i – a, ii – d, iii – b, iv – c
B) i – d, ii – a, iii – c, iv – b
C) i – c, ii – a, iii – d, iv – b
D) i – c, ii – a, iii – b, iv – d
Answer:
C) i – c, ii – a, iii – d, iv – b
Question 94.
| i) 2(x + 2) = 0 | a) 2 |
| ii) 9x – 18 = 0 | b) \(\frac { 3 }{ 2 }\) |
| iii) \(\frac { 1 }{ 2 }\)x + 1 = 0 | c) -2 |
| iv) \(\frac { 2 }{ 3 }\)x = 1 | d) 0 |
A) i – c, ii – b, iii – a, iv – d
B) i – d, ii – a, iii – c, iv – b
C) i – a, ii – d, iii – c, iv – b
D) i – b, ii – a, iii – d, iv – c
Answer:
B) i – d, ii – a, iii – c, iv – b
Question 95.
| i) \(\frac { x }{ 4 }\) =16 | a) \(\frac { 1 }{ 4 }\) |
| ii) \(\frac { 9x }{ 2 }\) = \(\frac { 9 }{ 2 }\) | b) 64 |
| iii) 2x = \(\frac { 1 }{ 2 }\) | c) 2 |
| iv) 0.5x = 1 | d) 1 |
A) i – b, ii – d, iii – a, iv – c
B) i – a, ii – c, iii – b, iv – d
C) i – d, ii – b, iii – a, iv – c
D) i – b, ii – a, iii – c, iv – d
Answer:
A) i – b, ii – d, iii – a, iv – c
Question 96.
| i) 1 = 2x + 1 | a) \(\frac { -3 }{ 2 }\) |
| ii) -7 = 4p – 1 | b) 1 |
| iii) 0 = 8z – 16 | c) 0 |
| iv) 2002 = 2002x | d) 2 |
A) i – b, ii – a, iii – d, iv – c
B) i – d, ii – c, iii – a, iv – b
C) i – b, ii – d, iii – c, iv – a
D) i – c, ii – a, iii – d, iv – b
Answer:
D) i – c, ii – a, iii – d, iv – b
Question 97.
| i) 4 times of q is added to \(\frac { 1 }{ 4 }\) | a) 3y – 9 |
| ii) 9 is subtracted from thrice of y | b) 4q + \(\frac { 1 }{ 4 }\) |
| iii) Three fourth of n is added to 9 | c) \(\frac { 3x }{ 2 }\) + \(\frac { 3 }{ 2 }\) |
| iv) 1\(\frac { 1 }{ 2 }\) times c is added to \(\frac { 3 }{ 2 }\) | d) \(\frac { 3 }{ 4 }\)n + 9 |
A) i – c, ii – a, iii – d, iv – b
B) i – b, ii – c, iii – a, iv – d
C) i – b, ii – a, iii – d, iv – c
D) i – d, ii – a, iii – b, iv – c
Answer:
C) i – b, ii – a, iii – d, iv – c
Case study based Questions:
I. Anurag and Koushik are playing games during holidays. They prepared some simple equations on a piece of papers and kept in a pot shaped box. After mixing it, one of them wants to pick up the piece of paper without noticing the simple equation Inside of It. They
played for half an our and get chances in the following manner.
The list of simple equations prepared
are 2x + 1 =0, \(\frac{8}{3}\) = 1, 9x – 9 = 9,
7x + \(\frac{4}{3}\) = 0, 8x – \(\frac{1}{8}\) = 0, then answer the following questions.
Question 98.
Degree of 8x – \(\frac{1}{8}\) = 0 is _____ ( )
A) \(\frac{1}{2}\)
B) \(\frac{1}{6}\)
C) 8
D) 1
Answer:
D) 1
Question 99.
Solution to 2x + 1 = 0 is _____ ( )
A) \(\frac{-1}{2}\)
B) -2
C) \(\frac{1}{2}\)
D) 7
Answer:
A) \(\frac{-1}{2}\)
Question 100.
Which of the following equations has 1 as the solution ( )
A) x + 11 = 0
B) 2x + 2 = 0
C) 1 – x =0
D) x – 3 = 0
Answer:
B) 2x + 2 = 0
Question 101.
Solution to 9x – 9 = 9 is ______ ( )
A) 4
B) 1
C) 3
D) 2
Answer:
D) 2
Question 102.
Solution to \(\frac { 1 }{ 3 }\)x = \(\frac { 1 }{ 3 }\) is ______ ( )
A) -1
B) 0
C) 1
D) \(\frac { 1 }{ 9 }\)
Answer:
C) 1
The sum of two consecutive odd number is 188. Basing on the above statement answer the following questions.
Question 103.
How do you assume the consecutive odd numbers
Answer:
Let the first odd number = x
Second odd number = x + 2
Question 104.
Write the simple equation for the above data.
Answer:
x + x + 2 = 188
2x + 2 = 188
Question 105.
What is the least of those two number?
Answer:
2x + 2 = 188
2x = 188 – 2
2x = 186
x = \(\frac { 186 }{ 2 }\) ⇒ x = 93
x is odd
∴ x = 93
Question 106.
What is the largest number between the two numers
Answer:
x = 93
x + 2 = 93 + 2 = 95
Question 107.
What is the general form of odd number?
Answer:
2x + 1