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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