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

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

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) –\(\frac {1}{2}\)

## Answer

Answer: (a) 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

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

## Answer

Answer: (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

## Answer

Answer: (a) 10y + x

Question 7.

The value of x in \(\frac {3}{4}\)x = 7 – x is

(a) 3

(b) 4

(c) \(\frac {7}{3}\)

(d) 7

## Answer

Answer: (b) 4

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

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

## Answer

Answer: (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

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

Answer: (b) 3x + x = 4

Fill in the blanks

Question 1.

The value of y in \(\frac {5}{4}\)y = 8 – y is ……………….

## Answer

Answer: \(\frac {32}{9}\)

Question 2.

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

## Answer

Answer: 7

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 ………………..

## Answer

Answer: 10x + y

Question 4.

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

## Answer

Answer: 13

Question 5.

Value of x in 2x = -x + 5 is …………………..

## Answer

Answer: \(\frac {5}{3}\)

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