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Chapter assessment
A. Choose the correct option.

1. If 4x + 3 = 19, then 2x is equal to
(a) 2 (b) 4 (c) 6 (d) 8
2. If 31x = 0.0093, then the value of x is

(a) 0.003 (b) 0.0003 (c) 0.3 (d) 3
3. The equation having 5 as a solution is
(a) 4x + 1 = 2 (b) 3 – x = 8 (c) x – 5 = 3 (d) 3 + x = 8
4. p exceeds 4 by 9, can be represented as
(a) p + 4 = 9 (b) p + 9 = 4 (c) p – 4 = 9 (d) p – 9 = 4

5. If 7 is added to a number and the sum is multiplied by 6, the result becomes 48 times the number.
The number is

(a) 1 (b) 1.5 (c) 0.5 (d) 20
6. If 2(x + 9) = 8, then the value of x + 10, is
(a) –5 (b) 4 (c) 5 (d) 14
B. Assertion and Reason Type Questions.

In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option as:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).

(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): 2x – 3 = 9 is an equation.
Reason (R): An equation is a mathematical statement that consists of two equal sides whose separation
takes place by an equal sign.
2. Assertion (A): An equation whose solution is not a whole number is 6x = 1.
1
Reason (R): On dividing both sides by 6, we get x = , which is a fraction, not a whole number.
6
3. Assertion (A): If x = 2, is a solution of the equation 2x – 3 = k, then the value of k is 1.
Reason (R): The solution of the equation will satisfy the LHS and RHS.
C. Match the Following.

Column A Column B
(a) x + 8 = 17 (i) –17
(b) x – 15 = –32 (ii) 44
(c) 4x – 8 = –48 (iii) 12
x
(d) If = 3, then the value of 4x + 8 is (iv) 9
3

(e) x + 8 = 1 1 (v) –10
2 x − 8 4

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