Class 8 Linear Equations In One Variable CBSE Questions & Answers

Class 8 · Linear Equations In One Variable

This is Mathematics Class 8 Linear Equations in One Variable CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Solve: \(\frac{{2x}}{3} + 1 = \frac{{7x}}{{15}} + 3\)
  • A
    5
  • B
    3
  • C
    10
    Correct
  • D
    6
2
Solve: \(2y + \frac{5}{3} = \frac{{26}}{3} - y\)
  • A
    \(\frac{7}{3}\)
    Correct
  • B
    3
  • C
    7
  • D
    none of these
3
Solve: \(3m = 5m - \frac{8}{5}\)
  • A
    4
  • B
    \(\frac{4}{5}\)
    Correct
  • C
    none of these
  • D
    5
4
Solve: \(\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}\)
  • A
    10
  • B
    none of these
  • C
    \(\frac{{27}}{{10}}\)
    Correct
  • D
    27
5
Solve: \(\frac{n}{2} - \frac{{3n}}{4} + \frac{{5n}}{6} = 21\)
  • A
    \(\frac{{25}}{{26}}\)
  • B
    25
  • C
    36
    Correct
  • D
    \(\frac{{24}}{{26}}\)
6
Solve: \(x + 7 - \frac{{8x}}{3} = \frac{{17}}{6} - \frac{{5x}}{2}\)
  • A
    3
  • B
    4
  • C
    5
  • D
    -5
    Correct
7
Solve: \(\frac{{x - 5}}{3} = \frac{{x - 3}}{5}\)
  • A
    4
  • B
    8
    Correct
  • C
    6
  • D
    2
8
Solve: \(\frac{{3x - 2}}{4} - \frac{{2x + 3}}{3} = \frac{2}{3} - x\)
  • A
    2
    Correct
  • B
    none of these
  • C
    4
  • D
    3
9
Solve: \(a - \frac{{a - 1}}{2} = 1 - \frac{{a - 2}}{3}\)
  • A
    7
  • B
    none of these
  • C
    \(\frac{7}{5}\)
    Correct
  • D
    5
10
Solve: \({\text{3 }}\left( {t--{\text{ 3}}} \right){\text{ }} = {\text{ 5 }}\left( {{\text{2}}t + {\text{ 1}}} \right)\)
  • A
    3
  • B
    none of these
  • C
    -2
    Correct
  • D
    2
11
Solve: \({\text{15 }}\left( {y--{\text{ 4}}} \right){\text{ }}--{\text{2 }}\left( {y--{\text{ 9}}} \right){\text{ }} + {\text{ 5 }}\left( {y + {\text{ 6}}} \right){\text{ }} = {\text{ }}0\)
  • A
    none of these
  • B
    3
  • C
    2
  • D
    \(\frac{2}{3}\)
    Correct
12
Solve: \({\text{3 }}\left( {{\text{5}}z--{\text{ 7}}} \right){\text{ }}--{\text{ 2 }}\left( {{\text{9}}z--{\text{ 11}}} \right){\text{ }} = {\text{ 4 }}\left( {{\text{8}}z--{\text{ 13}}} \right){\text{ }}--{\text{ 17}}\)
  • A
    3
  • B
    2
    Correct
  • C
    5
  • D
    4
13
Solve: \(0.{\text{25 }}\left( {{\text{4}}m--{\text{ 3}}} \right){\text{ }} = {\text{ }}0.0{\text{5 }}\left( {{\text{1}}0m--{\text{ 9}}} \right)\)
  • A
    0.6
    Correct
  • B
    0.8
  • C
    0.1
  • D
    0.12
14
Solve: \(\frac{{3x + 4}}{{2 - 6x}} = \frac{{ - 2}}{5}\).
  • A
    -12
  • B
    12
  • C
    -8
    Correct
  • D
    8
15
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is \(\frac{3}{2}\). Find the rational number.
  • A
    13
  • B
    21
  • C
    \(\frac{{21}}{{13}}\)
  • D
    \(\frac{{13}}{{21}}\)
    Correct