Solving Equations With Variables On Both Sides

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| By Simonedeitch
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Simonedeitch
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Quizzes Created: 6 | Total Attempts: 5,383
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  • 1/7 Questions

    Solve:  -7 - 4c = -c + 8

    • C = -5
    • C = -3
    • C = 3
    • C = 5
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Solving Equations With Variables On Both Sides - Quiz
About This Quiz

This quiz focuses on solving algebraic equations with variables on both sides, assessing skills in isolating variables and determining solution types or identities. It is essential for enhancing problem-solving abilities in algebra.

Quiz Preview

  • 2. 

    Solve:  -7p = -8p + 9

    • P = 3/5

    • P = -9

    • P = 9

    • P = -3/5

    Correct Answer
    A. P = 9
    Explanation
    The equation given is -7p = -8p + 9. To solve for p, we can start by simplifying the equation. By subtracting -8p from both sides of the equation, we get p = 9. Therefore, the correct answer is p = 9.

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  • 3. 

    Solve:  10t + 10 = -8 + 8t

    • T = -18

    • T = -9

    • T = 18

    • T = 9

    Correct Answer
    A. T = -9
    Explanation
    To solve the equation 10t + 10 = -8 + 8t, we need to simplify both sides of the equation. By combining like terms, we get 2t + 10 = -8. Next, we can isolate the variable by subtracting 10 from both sides, resulting in 2t = -18. Finally, we divide both sides by 2 to solve for t, giving us t = -9.

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  • 4. 

    How many solutions are there for the following equation:  -5q - 9 = 4q

    • No solutions

    • One solution

    • Infinitely many solutions

    Correct Answer
    A. One solution
    Explanation
    The given equation is a linear equation. To solve it, we can combine like terms and isolate the variable. By adding 5q to both sides, we get -9 = 9q. Dividing both sides by 9, we find that q = -1. Therefore, there is one solution for the equation, which is q = -1.

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  • 5. 

    Is this an identity:  5 - 5z = -5z + 5

    • Yes

    • No

    Correct Answer
    A. Yes
    Explanation
    The given equation is an identity because both sides of the equation are equal when simplified. By rearranging the terms, we can see that 5 - 5z is equal to -5z + 5. This holds true for any value of z, making it an identity.

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  • 6. 

    How many solutions are there for the following equation:  -4c = 8 - 4c

    • No solutions

    • One solution

    • Infinitely many solutions

    Correct Answer
    A. No solutions
    Explanation
    The equation -4c = 8 - 4c can be simplified to 0 = 8, which is not possible. This means that there are no values of c that satisfy the equation, leading to the conclusion that there are no solutions.

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  • 7. 

    Do you have any questions about the video? Were there any problems that did not make sense?

Quiz Review Timeline (Updated): Mar 21, 2023 +

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

  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 16, 2013
    Quiz Created by
    Simonedeitch
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