Soal Remidial Matematika Kelas X

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| By Umikusyanti1
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Umikusyanti1
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Questions: 30 | Attempts: 1,141

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Soal Remidial Matematika Kelas X - Quiz

Questions and Answers
  • 1. 

    Fungsi eksponensial f(x) = + 1 memotong sumbu y pada titik ... 

    • A.

      (2,0)

    • B.

      (1,0)

    • C.

      (0,2)

    • D.

      (3,0)

    • E.

      (0,0)

    Correct Answer
    C. (0,2)
    Explanation
    The correct answer is (0,2). This is because when the exponential function f(x) intersects the y-axis, the x-coordinate is always 0. Therefore, the correct answer is the point (0,2) where the y-coordinate is 2.

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  • 2. 

    Nilai x yang memenuhi persamaan :   adalah ...

    • A.

      -4 dan 2

    • B.

      -2 dan 4

    • C.

      -2 dan 2

    • D.

      Hanya 2

    • E.

      Hanya 4

    Correct Answer
    E. Hanya 4
    Explanation
    The correct answer is "hanya 4". This means that the only value of x that satisfies the equation is 4.

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  • 3. 

    Nilai x yang memenuhi pertidaksamaan   adalah ...

    • A.

      1 < x < 5

    • B.

      -1 < x < 4

    • C.

      -2 < x < 2

    • D.

      X < 1 atau x > 5

    • E.

      X < -1 atau x > 4

    Correct Answer
    E. X < -1 atau x > 4
    Explanation
    The correct answer is x < -1 atau x > 4. This is because the given inequality is x < -1 atau x > 4, which means that x is less than -1 or greater than 4. Both of these conditions satisfy the given inequality.

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  • 4. 

    Domain dari y =   adalah ...

    Correct Answer
    A.
  • 5. 

    Perhatikan gambar di bawah ini, jika adalah grafik fungsi : y = maka grafik adalah .... 

    • A.

      y =

    • B.

      y =

    • C.

      y =

    • D.

      y =

    • E.

      y =

    Correct Answer
    E. y =
  • 6. 

    Nilai x yang memenuhi pertidaksamaan       adalah ....

    • A.

      -6 < x < 3

    • B.

      0 < x < 3

    • C.

      X < 3 atau x > 6

    • D.

      -3 < x < 6

    • E.

      X < -6 atau x > 3

    Correct Answer
    A. -6 < x < 3
    Explanation
    The correct answer is -6 < x < 3 because this is the only option that includes the range of values for x that satisfy the given inequality. The other options either include values that are not within the range (-3 < x < 6, x < -6 or x > 3) or exclude values that are within the range (0 < x < 3, x < 3 or x > 6). Therefore, the correct answer is -6 < x < 3.

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  • 7. 

    Jika penyelesaian    adalah  1  < x < 2, maka nilai p = ...

    • A.

      1

    • B.

      2

    • C.

      3

    • D.

      4

    • E.

      5

    Correct Answer
    B. 2
    Explanation
    The given solution states that 1 is less than x which is less than 2. Therefore, the value of p would be 2.

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  • 8. 

    Jika   

    Correct Answer
    B.
  • 9. 

    Diketahui dan   merupakan akar-akar dari persamaan log log (x + 3) + log 2 = log log 16x.Nilai   adalah ...

    • A.

      12

    • B.

      10

    • C.

      9

    • D.

      8

    • E.

      6

    Correct Answer
    C. 9
    Explanation
    The given equation is log log (x + 3) + log 2 = log log 16x. To solve this equation, we can simplify it by using logarithmic properties. Applying the property log a + log b = log (a * b), we can rewrite the equation as log [(x + 3) * 2] = log log 16x. Simplifying further, we get log (2x + 6) = log log 16x. Since the logarithms are equal, the argument inside the logarithm must also be equal. Therefore, 2x + 6 = log 16x. Solving this equation, we find that x = 3. Substituting this value back into the original equation, we get log log 6 + log 2 = log log 48. Simplifying further, we have log 2 + log 2 = log log 48. Applying the property log a + log b = log (a * b), we get log (2 * 2) = log log 48. Simplifying further, we have log 4 = log log 48. Since the logarithms are equal, the argument inside the logarithm must also be equal. Therefore, 4 = log 48. Solving this equation, we find that the value of log 48 is 4. Hence, the answer is 9.

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  • 10. 

    Penyelesaian pertidaksamaan            adalah ....

    • A.

      X < -2 atau x > 2

    • B.

      X < -4 atau x > -2

    • C.

      X < -4 atau x > 2

    • D.

      -2 < x < 4

    • E.

      -4 < x < 2

    Correct Answer
    E. -4 < x < 2
    Explanation
    The correct answer is -4 < x < 2 because it satisfies the given inequality. The inequality states that x is less than -4 or greater than 2. The answer -4 < x < 2 falls within these conditions, as it means that x is greater than -4 and less than 2.

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  • 11. 

    Penyelesaian pertidaksamaan     adalah ....

    • A.

      1 < x < 2

    • B.

      1 < x < 10

    • C.

      10 < x < 100

    • D.

      X < 1 atau x > 10

    • E.

      X < 2 atau x > 10

    Correct Answer
    C. 10 < x < 100
  • 12. 

    Jika

    Correct Answer
    B.
  • 13. 

    Nilai y yang memenuhi sistem persamaan :y = x - 5y =   adalah ....

    • A.

      - 4

    • B.

      - 2

    • C.

      1

    • D.

      3

    • E.

      5

    Correct Answer
    D. 3
    Explanation
    The correct answer is 3 because when we substitute y = x - 5 into the second equation, we get y = x - 5 = x - 5 = -4. Therefore, the value of y that satisfies the system of equations is 3.

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  • 14. 

    Penyelesaian dari sistem persamaan :y = -3x - 2y =    adalah x dan y maka nilai 5x + 3y = ...

    • A.

      15

    • B.

      3

    • C.

      -5

    • D.

      -12

    • E.

      -17

    Correct Answer
    D. -12
    Explanation
    The given system of equations is y = -3x - 2 and y = ?. To find the value of y, we substitute the value of x from the first equation into the second equation. By substituting -3x - 2 for y in the second equation, we get y = -3(-3x - 2) - 2 = 9x + 6 - 2 = 9x + 4. Therefore, the value of y is 9x + 4. To find the value of 5x + 3y, we substitute the value of y into the expression. 5x + 3(9x + 4) = 5x + 27x + 12 = 32x + 12. Therefore, the correct answer is -12.

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  • 15. 

    Penyelesaian dari sistem persamaanx + y + 2 = 0   adalah ...

    • A.

      (-8,6) dan (1,-3)

    • B.

      (8,-6) dan (1, -3)

    • C.

      (8,-6) dan (-1, 3)

    • D.

      (8,6) dan (-1, -3)

    • E.

      (-8,6) dan (-1 ,3)

    Correct Answer
    A. (-8,6) dan (1,-3)
    Explanation
    The correct answer is (-8,6) dan (1,-3). This means that the solution to the system of equations x + y + 2 = 0 is x = -8, y = 6 and x = 1, y = -3. These values satisfy the equation and make it true.

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  • 16. 

    Nilai y yang memenuhi sistem persamaany = y =   adalah ...

    • A.

      - 2 atau 8

    • B.

      - 3 atau 7

    • C.

      4 atau 16

    • D.

      -3 atau 79

    • E.

      -2 atau 108

    Correct Answer
    A. - 2 atau 8
    Explanation
    The correct answer is -2 or 8 because these are the values of y that satisfy the given system of equations. The system of equations is not provided in the question, but it can be inferred that the values of y that satisfy the system are -2 and 8 based on the options given.

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  • 17. 

    Himpunan penyelesaian dari pertidaksamaan 

    • A.
    • B.
    • C.
    • D.

      x < 2 atau

    • E.

      X less or equal than 2 space a t a u space x greater or equal than 5

    Correct Answer
    E. X less or equal than 2 space a t a u space x greater or equal than 5
    Explanation
    The correct answer is the set of solutions for the inequality x < 2 or x ≥ 5. This means that the values of x can be any number less than 2 or any number greater than or equal to 5.

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  • 18. 

    Himpunan penyelesaian pertidaksamaan   adalah ...

    • A.
    • B.

      0 < x < 2

    • C.

      -2 < x < 0

    • D.

      X < -2 atau x > 0

    • E.

      X < 0 atau x > 2

    Correct Answer
    D. X < -2 atau x > 0
    Explanation
    The correct answer is x < -2 or x > 0. This is because the given inequality states that x is less than -2 or greater than 0. Therefore, any value of x that satisfies either of these conditions will be part of the solution set.

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  • 19. 

    Himpunan penyelesaian pertidaksamaan   adalah ...

    Correct Answer
    C.
  • 20. 

    Himpunan penyelesaian dari    adalah ...

    Correct Answer
    C.
  • 21. 

    Diketahui sistem persamaan kuadraty = y = Agar sistem persamaan tersebut  mempunyai dua penyelesaian, maka batas-batas nilai p adalah ..

    • A.

      -3 < p < 21

    • B.

      -21 < p < -3

    • C.

      P < -3 atau p > 21

    • D.

      P < 3 atau p > 21

    • E.

      P < -21 atau p > 3

    Correct Answer
    E. P < -21 atau p > 3
  • 22. 

    Himpunan penyelesaian dari sistem persamaan :   adalah ...

    • A.

      (-2,-3) atau (-2,3)

    • B.

      (-3,2) atau (3,2)

    • C.

      (2,-3) atau (2,3)

    • D.

      (-3,-2) atau (3,-2)

    • E.

      (-2,-2) atau (-2,2)

    Correct Answer
    C. (2,-3) atau (2,3)
    Explanation
    The correct answer is (2,-3) or (2,3). This means that the solution set for the given system of equations is either the point (2,-3) or the point (2,3). This implies that when the values of x and y are both 2 and -3 respectively, or both 2 and 3 respectively, the equations in the system are satisfied.

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  • 23. 

    Diketahui fungsi eksponen f(x) = . jika x = 5 nilai dari f ( x - 1 ) adalah ...

    • A.

      32

    • B.

      10

    • C.

      4

    • D.

      16

    • E.

      8

    Correct Answer
    D. 16
    Explanation
    The given function is an exponential function with a base of 2. It is given that f(x) = 2^x. We are asked to find the value of f(x-1) when x=5. Substituting x=5 into the function, we get f(5) = 2^5 = 32. To find f(x-1), we substitute x-1=5-1=4 into the function, giving us f(4) = 2^4 = 16. Therefore, the correct answer is 16.

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  • 24. 

    Nilai x yang memenuhi persamaan :  

    • A.

      5

    • B.

      4

    • C.

      3

    • D.

      2

    • E.

      1

    Correct Answer
    C. 3
    Explanation
    The given answer, 3, is the value of x that satisfies the equation. However, without knowing the equation or any context, it is impossible to provide a more detailed explanation.

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  • 25. 

    Himpunan penyelesaian persamaan    adalah ...

    Correct Answer
    A.
  • 26. 

    Himpunan penyelesaian dari   adalah ....

    Correct Answer
    B.
  • 27. 

    Jika   dan merupakan akar-akar yang memenuhi eksponensial : maka nilai   adalah ....

    • A.

      - 2

    • B.

      - 1

    • C.

      0

    • D.

      1

    • E.

      2

    Correct Answer
    A. - 2
  • 28. 

    Grafik fungsi y =       berada di atas sumbu x jika ....

    • A.

         0< x < 

    • B.

      0 < x < 1

    • C.

      0 < x < 2

    • D.
    • E.

      X > 1

    Correct Answer
    D.
    Explanation
    The graph of the function y = f(x) is located above the x-axis if the value of x is greater than 1.

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  • 29. 

    Nilai x yang memenuhi persamaan  

    • A.

      0,04

    • B.

      0,2

    • C.
    • D.

      5

    • E.
    Correct Answer
    D. 5
  • 30. 

    Perhatikan Tabel berikut.dari tabel dibawah ini , nilai untuk log x berikutnya adalah ....x110log x01234-1-2-3 

    • A.

      0 , 1 , 2 , 3

    • B.

      1 , 2 , 3 , 4

    • C.

      2 , 3 , 4 , -1

    • D.

      3 , 4 , -1 , -2

    • E.

      4, -1 , -2 , -3

    Correct Answer
    C. 2 , 3 , 4 , -1
    Explanation
    The given table shows the values for log x. Looking at the pattern, we can see that the value of log x increases by 1 for each subsequent value of x. Therefore, the next values for log x would be 2, 3, 4, and then it would decrease by 1 to become -1.

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  • Current Version
  • Mar 18, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 22, 2014
    Quiz Created by
    Umikusyanti1
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