Solving One-step Equations Quiz!

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| By Jmaybin
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Jmaybin
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Quizzes Created: 1 | Total Attempts: 17,381
Questions: 23 | Attempts: 17,381

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Solving One-step Equations Quiz! - Quiz

It's a simple yet quite practical quiz on one-step equations. For a formal introductory definition on the topic, it's an algebraic equation which is solved in just one step, that's why it's called so. Now, here you are going to face more than 20 questions to shake your brain cells (probably). So, let's get started.


Questions and Answers
  • 1. 

    What is the inverse operation for multiplication?

    • A.

      Addition

    • B.

      Subtraction

    • C.

      Division

    Correct Answer
    C. Division
    Explanation
    The inverse operation for multiplication is division. Division is the process of splitting a number into equal parts or groups. It is the opposite of multiplication, where you combine or repeat a number a certain number of times. When you divide a number by another number, you are essentially undoing the multiplication process and finding the original number that was multiplied. Therefore, division is the correct answer as the inverse operation for multiplication.

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  • 2. 

    What is the inverse operation for addition?

    • A.

      Subtraction

    • B.

      Multiplication

    • C.

      Division

    Correct Answer
    A. Subtraction
    Explanation
    The inverse operation for addition is subtraction. When two numbers are added together, subtracting one of the numbers from the sum will give you the other number. Subtraction undoes the effect of addition and brings the numbers back to their original values.

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  • 3. 

    -15 = x / 4

    • A.

      -60

    • B.

      60

    • C.

      -11

    • D.

      -19

    Correct Answer
    A. -60
    Explanation
    The equation -15 = x / 4 can be solved by multiplying both sides of the equation by 4 to isolate x. This results in -60 = x. Therefore, the value of x that satisfies the equation is -60.

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  • 4. 

    21 + m = 4

    • A.

      25

    • B.

      17

    • C.

      -17

    • D.

      84

    Correct Answer
    C. -17
    Explanation
    To solve the equation 21 + m = 4, we need to isolate the variable m. By subtracting 21 from both sides of the equation, we get m = 4 - 21, which simplifies to m = -17. Therefore, the correct answer is -17.

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  • 5. 

    6n = 30

    • A.

      5

    • B.

      -5

    • C.

      24

    • D.

      180

    Correct Answer
    A. 5
    Explanation
    The equation 6n = 30 can be solved by dividing both sides of the equation by 6. This will give us n = 5, which means that the value of n that satisfies the equation is 5. Therefore, the correct answer is 5.

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  • 6. 

    9 = x / 18

    • A.

      -162

    • B.

      2

    • C.

      162

    • D.

      11

    Correct Answer
    C. 162
    Explanation
    The equation 9 = x / 18 can be solved by multiplying both sides of the equation by 18 to isolate x. This gives us 162 = x, which means that x is equal to 162.

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  • 7. 

    -5 = -20 + x

    • A.

      -15

    • B.

      -25

    • C.

      100

    • D.

      15

    Correct Answer
    D. 15
    Explanation
    The equation -5 = -20 + x can be solved by adding 20 to both sides of the equation to isolate the variable x. This gives us 15 = x, which means that x is equal to 15. Therefore, the correct answer is 15.

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  • 8. 

    11x = -286

    • A.

      297

    • B.

      26

    • C.

      -297

    • D.

      -26

    Correct Answer
    D. -26
    Explanation
    To solve the equation 11x = -286, we need to isolate x. To do this, we divide both sides of the equation by 11. This gives us x = -286/11. Simplifying this further, we find that x is approximately equal to -26. Therefore, the correct answer is -26.

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  • 9. 

    -5 = x / 12

    • A.

      50

    • B.

      -50

    • C.

      -60

    • D.

      -17

    Correct Answer
    C. -60
    Explanation
    The given equation states that -5 is equal to x divided by 12. To solve for x, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 12, which cancels out the denominator. This gives us -60 = x. Therefore, the value of x is -60.

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  • 10. 

    X + 8 = 15

    • A.

      X = 7

    • B.

      X = -7

    • C.

      X = 23

    • D.

      X = -23

    Correct Answer
    A. X = 7
    Explanation
    To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 8 from both sides of the equation:
    x + 8 - 8 = 15 - 8 x = 7  

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  • 11. 

    Y - 3 = -5

    • A.

      Y = 8

    • B.

      Y = -8

    • C.

      Y = 2

    • D.

      Y = -2

    Correct Answer
    D. Y = -2
    Explanation
    The given equation is y - 3 = -5. To solve for y, we can add 3 to both sides of the equation, which gives us y = -2. Therefore, the correct answer is y = -2.

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  • 12. 

    B + 24 = 19

    • A.

      B = 5

    • B.

      B = -43

    • C.

      B = 43

    • D.

      B = -5

    Correct Answer
    D. B = -5
    Explanation
    The given equation is b + 24 = 19. To find the value of b, we need to isolate it on one side of the equation. By subtracting 24 from both sides, we get b = 19 - 24, which simplifies to b = -5. Therefore, the correct answer is b = -5.

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  • 13. 

    3x = 12

    • A.

      X = -4

    • B.

      X = 4

    • C.

      X = 36

    • D.

      X = 15

    Correct Answer
    B. X = 4
    Explanation
    The given equation is 3x = 12. To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 3, which gives us x = 4. Therefore, the correct answer is x = 4.

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  • 14. 

    -2x = 88

    • A.

      X = 44

    • B.

      X = -44

    • C.

      X = -176

    • D.

      X = 176

    Correct Answer
    B. X = -44
    Explanation
    The given equation is -2x = 88. To solve for x, we need to isolate x by dividing both sides of the equation by -2. This gives us x = -44. Therefore, the correct answer is x = -44.

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  • 15. 

    M + 43 = 100

    • A.

      M = 57

    • B.

      M = 143

    • C.

      M = -143

    • D.

      M = -57

    Correct Answer
    A. M = 57
    Explanation
    The given equation states that m plus 43 equals 100. To solve for m, we need to isolate it on one side of the equation. By subtracting 43 from both sides, we get m equals 57. Therefore, the correct answer is m equals 57.

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  • 16. 

    H - 34 = 17

    • A.

      H = 17

    • B.

      H = 51

    • C.

      H = -17

    • D.

      H = -51

    Correct Answer
    B. H = 51
    Explanation
    The given equation is h - 34 = 17. To solve for h, we need to isolate h on one side of the equation. Adding 34 to both sides, we get h = 51. Therefore, the correct answer is h = 51.

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  • 17. 

    7d = 56

    • A.

      D = -8

    • B.

      D = 7

    • C.

      D = 8

    • D.

      D = 56

    Correct Answer
    C. D = 8
    Explanation
    The equation 7d = 56 can be solved by dividing both sides of the equation by 7. This will give us d = 8 as the solution.

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  • 18. 

    R / 5 = -9

    • A.

      R = 5

    • B.

      R = 9

    • C.

      R = -45

    • D.

      R = 45

    Correct Answer
    C. R = -45
    Explanation
    The given equation states that r divided by 5 equals -9. To solve for r, we can multiply both sides of the equation by 5, which cancels out the division. This gives us r = -45, which satisfies the original equation. Therefore, the correct answer is r = -45.

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  • 19. 

    Y / 12 = -11

    • A.

      Y = -132

    • B.

      Y = 12

    • C.

      Y = 1

    • D.

      Y = 132

    Correct Answer
    A. Y = -132
    Explanation
    The given equation states that y divided by 12 equals -11. To solve for y, we can multiply both sides of the equation by 12 to isolate y. This gives us y = -132, which is the correct answer.

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  • 20. 

    -3m = -66

    • A.

      198

    • B.

      -22

    • C.

      22

    • D.

      69

    Correct Answer
    C. 22
    Explanation
    In the given equation, -3m = -66, we need to find the value of m. To isolate m, we divide both sides of the equation by -3. This gives us m = -66/-3, which simplifies to m = 22. Therefore, the correct answer is 22.

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  • 21. 

    9 + x = 2

    • A.

      7

    • B.

      -11

    • C.

      -7

    • D.

      11

    Correct Answer
    C. -7
    Explanation
    The correct answer is -7 because when we subtract 7 from both sides of the equation, we get 9 + x - 7 = 2 - 7, which simplifies to x = -7.

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  • 22. 

    -12 = x / 3

    • A.

      4

    • B.

      -36

    • C.

      -4

    • D.

      36

    Correct Answer
    B. -36
    Explanation
    The equation -12 = x / 3 can be solved by multiplying both sides of the equation by 3 to isolate x. This gives us -36 = x, which means that x is equal to -36.

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  • 23. 

    -3 + x = -12

    • A.

      -15

    • B.

      15

    • C.

      -9

    • D.

      9

    Correct Answer
    C. -9
    Explanation
    To solve the equation -3 + x = -12, we need to isolate the variable x. To do this, we can add 3 to both sides of the equation. This will cancel out the -3 on the left side, leaving us with x = -12 + 3, which simplifies to x = -9. Therefore, the correct answer is -9.

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  • Current Version
  • Oct 23, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 14, 2014
    Quiz Created by
    Jmaybin
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