Equations With Variables On Both Sides?

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| By Bhawnakul14
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Bhawnakul14
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Quizzes Created: 16 | Total Attempts: 73,101
| Attempts: 453
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  • 1/8 Questions

    9x - 12 = 3x

    • 2
    • -2
    • 1
    • -1
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Play this quiz and learn more about both side equation and variables!

Equations With Variables On Both Sides? - Quiz

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  • 2. 
    8x - 12 = 15x - 4x - ProProfs

    8x - 12 = 15x - 4x

    • 4

    • -3/5

    • -4

    • +3/5

    Correct Answer
    A. -4
    Explanation
    In the given equation, we have 8x - 12 on the left side and 15x - 4x on the right side. To solve the equation, we need to simplify both sides by combining like terms. On the left side, we have 8x - 12, and on the right side, we have 15x - 4x which simplifies to 11x. Therefore, the equation becomes 8x - 12 = 11x. To isolate x, we subtract 11x from both sides, resulting in -3x - 12 = 0. Finally, we add 12 to both sides, giving us -3x = 12. Dividing both sides by -3, we find that x = -4.

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  • 3. 
    -8x - 10 = 4x + 14 - ProProfs

    -8x - 10 = 4x + 14

    • 6

    • 2

    • -6

    • -2

    Correct Answer
    A. -2
    Explanation
    To solve the equation -8x - 10 = 4x + 14, we need to isolate the variable x. First, we can add 8x to both sides of the equation to eliminate the variable on the left side. This gives us -10 = 12x + 14. Next, we can subtract 14 from both sides to move the constant term to the right side. This gives us -24 = 12x. Finally, we can divide both sides by 12 to solve for x. This gives us x = -2. Therefore, the correct answer is -2.

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  • 4. 
    11 + 6x = 2x - 13 - ProProfs

    11 + 6x = 2x - 13

    • 4

    • -4

    • 6

    • -6

    Correct Answer
    A. -6
    Explanation
    To find the value of x in the equation 11 + 6x = 2x - 13, we need to isolate the variable x. First, we can simplify the equation by combining like terms. By subtracting 2x from both sides, we get 9 + 4x = -13. Next, by subtracting 9 from both sides, we obtain 4x = -22. To solve for x, we divide both sides by 4, which gives us x = -5.5. However, since the given answer choices are integers, we round down to the nearest whole number, resulting in x = -6.

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  • 5. 
    -5x = 9 - 2x - ProProfs

    -5x = 9 - 2x

    • 9/7

    • -9/7

    • 3

    • -3

    Correct Answer
    A. -3
    Explanation
    The given equation is -5x = 9 - 2x. To solve for x, we can combine like terms by adding 2x to both sides of the equation, which gives -3x = 9. Then, we divide both sides of the equation by -3 to isolate x, resulting in x = -3. Therefore, the correct answer is -3.

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  • 6. 
    -12x = 14 - 5x - ProProfs

    -12x = 14 - 5x

    • 1

    • 2

    • -2

    • 3

    Correct Answer
    A. -2
    Explanation
    To solve the equation -12x = 14 - 5x, we need to isolate the variable x. We can do this by combining like terms. Subtracting -5x from both sides of the equation, we get -12x + 5x = 14. Simplifying this, we have -7x = 14. To solve for x, we divide both sides of the equation by -7. This gives us x = -2. Therefore, the correct answer is -2.

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  • 7. 
    4x + 12 = -3x - 6 + 4x - ProProfs

    4x + 12 = -3x - 6 + 4x

    • 4

    • 3

    • -6

    • 2

    Correct Answer
    A. -6
    Explanation
    In the given equation, 4x + 12 = -3x - 6 + 4x, we need to simplify and solve for x. By combining like terms, we can simplify the equation to 8x + 12 = -6. Next, by subtracting 12 from both sides, we get 8x = -18. Finally, dividing both sides by 8, we find that x = -2.25. Therefore, the answer -6 is incorrect and does not correspond to any step in the solution process.

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  • 8. 
    10x - 5 = 21 - 3x - ProProfs

    10x - 5 = 21 - 3x

    • 2

    • 2

    • 3

    • 3

    • 4

    • 4

    • -2

    • -2

    Correct Answer(s)
    A. 2
    A. 2
    Explanation
    The given equation is a linear equation in one variable. To solve it, we can start by simplifying both sides of the equation. By adding 3x to both sides and adding 5 to both sides, we get 13x = 26. Dividing both sides by 13, we find that x = 2. Therefore, the equation is satisfied when x = 2.

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Quiz Review Timeline (Updated): Mar 19, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 19, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 03, 2015
    Quiz Created by
    Bhawnakul14
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