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.

Question.  1

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

(a)

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

(b)

-b

(c)

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

(d)

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

Open

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

Open

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.

Open

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)

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

Open

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)

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

Open

Question.  6

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

(a)

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

(b)

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

(c)

2

(d)

3

Open

Question.  7

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

(a)

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

(b)

-9

(c)

9

(d)

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

Open

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

Open

Question.  9

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

(a)

0

(b)

1

(c)

112

(d)

56

Open

Question.  10

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

(a)

0.002

(b)

0.02

(c)

0.2

(d)

2

Open

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

Open

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

Open

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

Open

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

Open

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)

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

Open

Question.  16

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

(a)

20

(b)

11

(c)

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

(d)

8

Open

Question.  17

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

(a)

2

(b)

6

(c)

-6

(d)

-2

Open

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

Open

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