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E:\Working\Focus_Learning\Math_Genius-8\Open_Files\02_Chapter_2\Chapter_2
\ 06-Jan-2025 Bharat Arora Proof-7 Reader’s Sign _______________________ Date __________

Chapter assessment
A. Choose the correct option.

1 2
1. The value of x in + x = is
3 5
4 1
( a) ( b) ( c) 10 (d) 0
5 15
7
6
2. If − y = − , then y is
6 7
7
6
7
( a) −   6 2 ( b) −   2 ( c)    2 ( d)    2
 
 

6

7 
 
7
  6
2 25
3. The solution of the equation 4x − = + x is
3 3
( a) x = 4 (b) x = 2 (c) x = 5 (d) x = 3
4. If 3x – 5 = 4, the solution of this equation is
( a) 2 (b) 1 (c) 3 (d) –3
5. The solution of a linear equation 4x – 3 = 5 is
( a) 0 (b) 1 (c) 2 (d) none of these
6. An example of linear equation involving two variables is
( a) 3z + 76 + 4z = 15 (b) 6p + 2q = 10 (c) 8x = 2 + 10 (d) 7p + 6q + 3r = 5 + 10
7. A linear equation in one variable has

( a) only one solution (b) two solutions
( c) more than two solutions (d) no solutions
8. Ryesa’s present age is twice of Rozal. If Rozal’s age three years ago was x, then Ryesa’s present age is

( a) 2(x + 3) years (b) (2x – 9) years (c) 2(x – 3) years (d) (2x + 3) years
b. Assertion and reason type questions

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

( 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.
7 2
1. Assertion (A): The solution of the equation = 2 is .
x 7
reason (r): The value of the variable which makes left hand side equal to right hand side in the
given equation is called the solution of the equation.

2. Assertion (A): A number when subtracted from 30 results into 24. This statement in the form of an
equation is 30 – x = 24.
reason (r): Standard form for linear equation in one variable is ax + b = 0, where x is variable
and a, b are arbitrary constants.

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