Solving Simple Equations

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| By Ozil
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Ozil
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Quizzes Created: 1 | Total Attempts: 4,181
Questions: 10 | Attempts: 4,184

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Solving Simple Equations - Quiz

See page 77 of the textbook


Questions and Answers
  • 1. 

    X - 3 = 10

    • A.

      X = -7

    • B.

      X = 13

    • C.

      X = 7

    • D.

      X = -13

    Correct Answer
    B. X = 13
    Explanation
    The given equation is x - 3 = 10. To solve for x, we need to isolate x on one side of the equation. Adding 3 to both sides, we get x = 13. Therefore, the correct answer is x = 13.

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  • 2. 

    X - ( -7) = 15

    • A.

      X = 8

    • B.

      X = -22

    • C.

      X = 22

    • D.

      X = -8

    Correct Answer
    A. X = 8
    Explanation
    The equation x - (-7) = 15 can be simplified by removing the parentheses and combining like terms. The negative sign in front of the -7 can be rewritten as a positive, so the equation becomes x + 7 = 15. To solve for x, we need to isolate it on one side of the equation. By subtracting 7 from both sides, we get x = 8. Therefore, the correct answer is x = 8.

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  • 3. 

    -10 + x = 3

    • A.

      X = 7

    • B.

      X = -7

    • C.

      X = 13

    • D.

      X = -13

    Correct Answer
    C. X = 13
    Explanation
    The correct answer is x = 13 because when we substitute x = 13 into the equation -10 + x = 3, we get -10 + 13 = 3, which simplifies to 3 = 3. This means that x = 13 satisfies the equation and is the solution.

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  • 4. 

    1 + 2x = 7

    • A.

      X = 3

    • B.

      X = -4

    • C.

      X = 4

    • D.

      X = -3

    Correct Answer
    A. X = 3
    Explanation
    The correct answer is x = 3 because when we substitute x = 3 into the equation 1 + 2x = 7, we get 1 + 2(3) = 7 which simplifies to 1 + 6 = 7. This equation is true, therefore x = 3 is the correct solution.

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  • 5. 

    2 + 2x = 7 + x

    • A.

      X = -5

    • B.

      X = 3

    • C.

      X = -3

    • D.

      X = 5

    Correct Answer
    D. X = 5
    Explanation
    To solve the equation 2 + 2x = 7 + x, we need to isolate the variable x. First, we can combine like terms by subtracting x from both sides of the equation, resulting in 2 + x = 7. Next, we can subtract 2 from both sides to get x = 5. Therefore, the correct answer is x = 5.

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  • 6. 

    3x + 3 = 3 + 2x

    • A.

      X = 6

    • B.

      X = -6

    • C.

      X = 0

    • D.

      X = 6/5

    Correct Answer
    C. X = 0
    Explanation
    The given equation is a linear equation in one variable. By simplifying the equation, we can combine like terms and isolate the variable x. When we do this, we find that the equation simplifies to 3x - 2x = 3 - 3, which further simplifies to x = 0. Therefore, the correct answer is x = 0.

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  • 7. 

    4x - 4 = -6 + 3x

    • A.

      X = -2

    • B.

      X = 10

    • C.

      X = -10

    • D.

      X = 2

    Correct Answer
    A. X = -2
    Explanation
    By rearranging the equation, we can simplify it to 4x - 3x = -6 + 4. This further simplifies to x = -2, which means that -2 is the value of x that satisfies the given equation.

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  • 8. 

    5x - 2 = -8 + 4x

    • A.

      X = 6

    • B.

      X = 10

    • C.

      X = -6

    • D.

      X = -10

    Correct Answer
    C. X = -6
    Explanation
    The equation given is a linear equation with one variable. To solve it, we need to isolate the variable on one side of the equation. By subtracting 4x from both sides of the equation, we get x - 2 = -8. Then, by adding 2 to both sides of the equation, we get x = -6. Thus, the correct answer is x = -6.

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  • 9. 

    • A.

      X = 2/3

    • B.

      X = 1/6

    • C.

      X = 6

    • D.

      X = 3/2

    Correct Answer
    C. X = 6
    Explanation
    The given answer, x = 6, is correct because it is the only value among the given options that is a whole number. The other options are either fractions or decimal numbers. Therefore, x = 6 is the only option that satisfies the condition of being a whole number.

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  • 10. 

    • A.

      X = 1/2

    • B.

      X = 2

    • C.

      X = -1/2

    • D.

      X = -2

    Correct Answer
    D. X = -2
    Explanation
    The given answer, x = -2, is correct because it satisfies the equation. By substituting -2 into the equation, we get -2 = -2, which is a true statement. Therefore, x = -2 is a valid solution.

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  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Aug 03, 2012
    Quiz Created by
    Ozil
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