NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 4: Simple Equations
Multiple Choice Questions

In Questions 1 to 18, there are four options, out of which only one is correct. Write the correct answer.

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Question.  1

The solution of the equation \(ax + b = 0\) is

(a)

\(\dfrac{a}{b}\)

(b)

-b

(c)

\(-\dfrac{b}{a}\)

(d)

\(\dfrac{b}{a}\)

Question.  2

If \(a\) and \(b\) are positive integers, then the solution of the equation \(ax = b\) will always be a

(a)

positive number

(b)

negative number

(c)

1

(d)

0

Question.  3

Which of the following is not allowed in a given equation?

(a)

Adding the same number to both sides of the equation.

(b)

Subtracting the same number from both sides of the equation.

(c)

Multiplying both sides of the equation by the same non-zero number.

(d)

Dividing both sides of the equation by the same number.

Question.  4

The solution of which of the following equations is neither a fraction nor an integer?

(a)

\(2x + 6 = 0\)

(b)

\(3x - 5 = 0\)

(c)

\(5x - 8 = x + 4\)

(d)

\(4x + 7 = x + 2\)

Question.  5

The equation which cannot be solved in integers is

(a)

\(5y - 3 = -18\)

(b)

\(3x - 9 = 0\)

(c)

\(3z + 8 = 3 + z\)

(d)

\(9y + 8 = 4y - 7\)

Question.  6

If \(7x + 4 = 25\), then \(x\) is equal to

(a)

\(\dfrac{29}{7}\)

(b)

\(\dfrac{100}{7}\)

(c)

2

(d)

3

Question.  7

The solution of the equation \(3x + 7 = -20\) is

(a)

\(\dfrac{17}{7}\)

(b)

-9

(c)

9

(d)

\(\dfrac{13}{3}\)

Question.  8

The value of \(y\) for which the expressions \((y - 15)\) and \((2y + 1)\) become equal is

(a)

0

(b)

16

(c)

8

(d)

-16

Question.  9

If \(k + 7 = 16\), then the value of \(8k - 72\) is

(a)

0

(b)

1

(c)

112

(d)

56

Question.  10

If \(43m = 0.086\), then the value of \(m\) is

(a)

0.002

(b)

0.02

(c)

0.2

(d)

2

Question.  11

\(x\) exceeds 3 by 7, can be represented as

(a)

x + 3 = 2

(b)

x + 7 = 3

(c)

x - 3 = 7

(d)

x - 7 = 3

Question.  12

The equation having 5 as a solution is:

(a)

4x + 1 = 2

(b)

3 - x = 8

(c)

x - 5 = 3

(d)

3 + x = 8

Question.  13

The equation having -3 as a solution is:

(a)

x + 3 = 1

(b)

8 + 2x = 3

(c)

10 + 3x = 1

(d)

2x + 1 = 3

Question.  14

Which of the following equations can be formed starting with \(x = 0\)?

(a)

2x + 1 = -1

(b)

\(\dfrac{x}{2} + 5 = 7\)

(c)

3x - 1 = -1

(d)

3x - 1 = 1

Question.  15

Which of the following equations cannot be formed using the equation \(x = 7\)?

(a)

2x + 1 = 15

(b)

7x - 1 = 50

(c)

x - 3 = 4

(d)

\(\dfrac{x}{7} - 1 = 0\)

Question.  16

If \(\dfrac{x}{2} = 3\), then the value of \(3x + 2\) is

(a)

20

(b)

11

(c)

\(\dfrac{13}{2}\)

(d)

8

Question.  17

Which of the following numbers satisfy the equation \(-6 + x = -12\)?

(a)

2

(b)

6

(c)

-6

(d)

-2

Question.  18

Shifting one term from one side of an equation to another side with a change of sign is known as

(a)

commutativity

(b)

transposition

(c)

distributivity

(d)

associativity

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 4: Simple Equations – Multiple Choice Questions | Detailed Answers