Linear Equation in One Variable Quiz: Test Your Skills

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| By Hansika
Hansika
Community Contributor
Quizzes Created: 216 | Total Attempts: 16,043
Questions: 10 | Attempts: 75

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Linear Equation In One Variable Quiz: Test Your Skills - Quiz


Linear Equation in One Variable Questions and Answers

  • 1. 

    What is the solution to the equation: 2x + 5 = 15?

    • A.

      5

    • B.

      10

    • C.

      7

    • D.

      8

    Correct Answer
    A. 5
    Explanation
    Start by solving the equation 2x + 5 = 15. First, subtract 5 from both sides of the equation. This leaves 2x = 10. Now, divide both sides by 2 to isolate x. This gives x = 10 ÷ 2, so x = 5. To check the solution, substitute x = 5 back into the original equation: 2(5) + 5 = 15. This simplifies to 10 + 5 = 15, which is correct. Therefore, the solution is verified, and x = 5 is the correct answer.

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  • 2. 

    Solve for x: 3x - 4 = 11.

    • A.

      X = 5

    • B.

      X = 3

    • C.

      X = 4

    • D.

      X = 6

    Correct Answer
    A. X = 5
    Explanation
    The equation to solve is 3x - 4 = 11. Start by adding 4 to both sides to move the constant term. This gives 3x = 15. Next, divide both sides of the equation by 3 to solve for x. This results in x = 15 ÷ 3, so x = 5. To verify, substitute x = 5 into the original equation: 3(5) - 4 = 11, which simplifies to 15 - 4 = 11. The solution is correct, confirming x = 5 as the right answer.

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  • 3. 

    What is the value of x in the equation: 5x = 25?

    • A.

      5

    • B.

      25

    • C.

      1

    • D.

      2

    Correct Answer
    A. 5
    Explanation
    To solve 5x = 25, divide both sides of the equation by 5. This gives x = 25 ÷ 5, so x = 5. To check the solution, substitute x = 5 into the original equation: 5(5) = 25, which simplifies to 25 = 25. This is correct, so x = 5 is the right solution.

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  • 4. 

    Solve for x: 7x + 6 = 34.

    • A.

      X = 6

    • B.

      X = 4

    • C.

      X = 5

    • D.

      X = 3

    Correct Answer
    B. X = 4
    Explanation
    Begin with the equation 7x + 6 = 34. Subtract 6 from both sides to get 7x = 28. Then divide both sides by 7 to isolate x. This gives x = 28 ÷ 7, so x = 4. Check by substituting x = 4 into the original equation: 7(4) + 6 = 34, which simplifies to 28 + 6 = 34. The solution is correct, so x = 4 is the correct answer.

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  • 5. 

    What is the value of x in the equation: 4x - 3 = 9?

    • A.

      X = 2

    • B.

      X = 1

    • C.

      X = 3

    • D.

      X = 5

    Correct Answer
    C. X = 3
    Explanation
    For the equation 4x - 3 = 9, first add 3 to both sides to get 4x = 12. Then, divide both sides by 4 to solve for x. This gives x = 12 ÷ 4, so x = 3. To verify, substitute x = 3 into the original equation: 4(3) - 3 = 9, which simplifies to 12 - 3 = 9. The solution is correct, so x = 3 is the correct answer.

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  • 6. 

    Solve for x: 6x - 2 = 16.

    • A.

      X = 3

    • B.

      X = 2

    • C.

      X = 4

    • D.

      X = 5

    Correct Answer
    A. X = 3
    Explanation
    The equation is 6x - 2 = 16. Add 2 to both sides to get 6x = 18. Then, divide both sides by 6 to isolate x. This gives x = 18 ÷ 6, so x = 3. To verify, substitute x = 3 into the original equation: 6(3) - 2 = 16, which simplifies to 18 - 2 = 16. The solution is correct, confirming x = 3 is the correct answer.

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  • 7. 

    What is the solution to the equation: 3x + 4 = 19?

    • A.

      X = 5

    • B.

      X = 4

    • C.

      X = 7

    • D.

      X = 3

    Correct Answer
    A. X = 5
    Explanation
    Start with the equation 3x + 4 = 19. Subtract 4 from both sides to get 3x = 15. Then divide both sides by 3 to isolate x. This gives x = 15 ÷ 3, so x = 5. To verify, substitute x = 5 into the original equation: 3(5) + 4 = 19, which simplifies to 15 + 4 = 19.The solution is correct, confirming x = 5 is the correct answer.

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  • 8. 

    Solve for x: 9x - 5 = 40.

    • A.

      X = 6

    • B.

      X = 5

    • C.

      X = 7

    • D.

      X = 8

    Correct Answer
    B. X = 5
    Explanation
    The equation is 9x - 5 = 40. Start by adding 5 to both sides to get 9x = 45. Then, divide both sides by 9 to isolate x. This gives x = 45 ÷ 9, so x = 5. To verify, substitute x = 5 into the original equation: 9(5) - 5 = 40, which simplifies to 45 - 5 = 40. The solution is correct, confirming x = 5 is the right answer.

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  • 9. 

    What is the solution for x in: 2x + 7 = 17?

    • A.

      X = 5

    • B.

      X = 4

    • C.

      X = 6

    • D.

      X = 3

    Correct Answer
    A. X = 5
    Explanation
    To solve 2x + 7 = 17, subtract 7 from both sides to get 2x = 10. Then, divide both sides by 2 to isolate x. This gives x = 10 ÷ 2, so x = 5. To check the solution, substitute x = 5 into the original equation: 2(5) + 7 = 17, which simplifies to 10 + 7 = 17. This confirms x = 5 is correct.

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  • 10. 

    Solve for x: 4x - 6 = 18.

    • A.

      X = 6

    • B.

      X = 5

    • C.

      X = 4

    • D.

      X = 3

    Correct Answer
    A. X = 6
    Explanation
    The equation to solve is 4x - 6 = 18. First, add 6 to both sides to get 4x = 24. Then, divide both sides by 4 to solve for x. This gives x = 24 ÷ 4, so x = 6. To check the solution, substitute x = 6 into the original equation: 4(6) - 6 = 18, which simplifies to 24 - 6 = 18. The solution is correct, confirming x = 6 is the right answer.

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  • Current Version
  • Jan 28, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 27, 2025
    Quiz Created by
    Hansika
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