# MCQ Questions for Class 8 Maths Chapter 2 Linear Equations in One Variable with Answers

We have compiled the NCERT MCQ Questions for Class 8 Maths Chapter 2 Linear Equations in One Variable with Answers Pdf free download covering the entire syllabus. Practice MCQ Questions for Class 8 Maths with Answers on a daily basis and score well in exams. Refer to the Linear Equations in One Variable Class 8 MCQs Questions with Answers here along with a detailed explanation.

## Linear Equations in One Variable Class 8 MCQs Questions with Answers

Choose the correct option.

Question 1.
In the equation $$\frac {x}{2}$$ + $$\frac {5}{4}$$ = $$\frac {-3}{7}$$, transposing 5/4 to R.H.S. we get
(a) $$\frac {x}{2}$$ = –$$\frac {3}{7}$$ + $$\frac {5}{4}$$
(b) $$\frac {x}{2}$$ = $$\frac {9}{7}$$ – $$\frac {5}{4}$$
(c) $$\frac {x}{2}$$ = $$\frac {-3}{7}$$ – $$\frac {5}{4}$$
(d) None of these

Answer: (a) $$\frac {x}{2}$$ = –$$\frac {3}{7}$$ + $$\frac {5}{4}$$

Question 2.
If $$\frac {x}{3}$$ + 1 = $$\frac {7}{15}$$ + 1 then which of the following is correct?
(a) $$\frac {x}{3}$$ = –$$\frac {7}{15}$$ + 1
(b) $$\frac {x}{3}$$ = $$\frac {-7}{15}$$ + 1
(c) $$\frac {x}{3}$$ = $$\frac {-7}{15}$$ – 1
(d) $$\frac {x}{3}$$ = $$\frac {7}{15}$$ – 1

Answer: (d) $$\frac {x}{3}$$ = $$\frac {7}{15}$$ – 1

Question 3.
If 7x + 3 = 17 then which of the following is the root of the equation.
(a) 2
(b) – 2
(c) $$\frac {1}{2}$$
(d) –$$\frac {1}{2}$$

Question 4.
5 years ago, I was ‘x’ years old. After 10 years, my age will be
(a) (x + 15) years
(b) (x – 15) years
(c) (x + 10) years
(d) (x – 10) years

Answer: (a) (x + 15) years

Question 5.
If the sum of two consecutive numbers is 15 and the greater of them is x then the smaller number is
(a) 16
(b) 14
(c) 8
(d) 7

Question 6.
In a two digit number, the unit digit is x and the ten’s digit is y. Then, the number is
(a) 10y + x
(b) 10x + y
(c) 10y – x
(d) 10x – y

Question 7.
The value of x in $$\frac {3}{4}$$x = 7 – x is
(a) 3
(b) 4
(c) $$\frac {7}{3}$$
(d) 7

Question 8.
$$\frac {3}{4}$$ part of a number is 5 more than its $$\frac {2}{3}$$ part. This statement in the form of and equation is
(a) $$\frac {2}{3}$$x – $$\frac {3}{4}$$x = 5
(b) $$\frac {2}{3}$$x – 5 = $$\frac {3}{4}$$x
(c) $$\frac {3}{4}$$x = $$\frac {2}{3}$$x + 5
(d) $$\frac {3}{4}$$x – 5 = $$\frac {-2}{3}$$x

Answer: (c) $$\frac {3}{4}$$x = $$\frac {2}{3}$$x + 5

Question 9.
The root of the equation 3a + 4 = 5a – 4 is
(a) 1
(b) 2
(c) 3
(d) 4

Question 10.
In this equation $$\frac {x}{4}$$ + $$\frac {5}{2}$$ = $$\frac {-3}{4}$$ transposing $$\frac {5}{2}$$ to RHS we get
(a) $$\frac {x}{4}$$ = $$\frac {-3}{4}$$ + $$\frac {5}{2}$$
(b) $$\frac {x}{4}$$ = $$\frac {-5}{2}$$ + $$\frac {3}{4}$$
(c) $$\frac {x}{4}$$ = $$\frac {-3}{4}$$ + ($$\frac {-5}{2}$$)
(d) None of these

Answer: (c) $$\frac {x}{4}$$ = $$\frac {-3}{4}$$ + ($$\frac {-5}{2}$$)

Question 11.
In this equation 3x = 4 – x transposing (-x) to LHS we get
(a) 3x – x = 4
(b) 3x + x = 4
(c) -3x + x = 4
(d) -3x – x = 4

Answer: (b) 3x + x = 4

Fill in the blanks

Question 1.
The value of y in $$\frac {5}{4}$$y = 8 – y is ……………….

Answer: $$\frac {32}{9}$$

Question 2.
The root of the equation 5a + 6 = 7a – 8 is …………………

Question 3.
In a two digit number the unit digit is x and the ten’s digit is y then the number obtained on reversing the digit is ………………..

Question 4.
If the sum of two consecutive numbers is 25 and the smaller of them is y then the greater number is …………….

Answer: $$\frac {5}{3}$$