Page 109 - Maths Skills - 8

Linear Equations in One Variable 107

ASSESSMENT TIME

COMPETENCY BASED QUESTIONS C. Write ‘T’ for true and ‘F’ for false statements
A. Multiple-Choice Questions 1. 8x – 5 = 3 + x has only one solution.
1. An equation has: 2. If mx c p , where nx + d ≠ 0, then

(i) only one side (ii) only three sides nx d q
(iii) only two sides (iv) none of these p(mx + c) = q(nx + d).
b
2. The solution of the equation 3 3 is: 3. If ax + b = 0, where a ≠ 0, then x = .
8
a
x 4. The solution of the equation 2(x – 5) = 4x – 8
(i) 11 (ii) − 3 is – 1.
3 11

(iii) – 11 (iv) 0 5. The equation – a + 8 = a + 8 has no solution.
3. An equation is a statement of equality involving
an unknown quantity called a: D. Case Study Based Questions

(i) constant (ii) variable Two students Megha and Rajeev went to a mela
(iii) both (i) & (ii) (iv) none of these organised in their society on the occasion of new
4. The solution of the equation 5a + 6 = 0 is: year. They had
` 200. They bought
(i) 6 (ii) 6 some toys for them.
5 Megha spent ` 20

(iii) − 6 (iv) – 5 more than Rajeev.
5 When they returned
5. An equation involving only linear polynomials home from mela,
is known as a: they had ` 20 left

(i) variable (ii) constant with them.
(iii) linear equation (iv) all of these Answer the following questions on the basis of the
above data.
B. Fill in the Blanks 1. Find the amount spent by Rajeev.

1. Both sides of an equation can be multiplied by 2. Find the amount spent by Megha.
the ________________. 3. Determine the ratio of amount spent by Megha
2. The value of the equation remains unchanged to that of Rajeev.
if we _____________ or ______________ the E. Assertion-Reason Based Questions
same number from both sides of an equation. Directions for Questions 1 to 2: In each of the

3. An equation in which the highest power of the questions given below, there are two statements
variable is ______________ is called a linear marked as Assertion (A) and Reason (R). Mark your
equation. answer as per the codes provided below:

4. The process of taking any term of an equation from (a) Both A and R are true and R is the correct
one side to the other is called ______________. explanation of A.
5. 7x + 3 = 7x – 8 has ________________ (b) Both A and R are true but R is not the correct
solution(s)/root(s). explanation of A.