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Quizzes › Language › Indonesian

Soal Remidial Matematika Kelas X

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| By Umikusyanti1

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Umikusyanti1

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Quizzes Created: 1 | Total Attempts: 1,103

Questions: 30 | Attempts: 1,103 | Updated: Mar 18, 2023

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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 ...
- A.
- B.
- C.
- D.
- E.
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
- A.
- B.
- C.
- D.
- E.
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
- A.
- B.
- C.
- D.
- E.
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 ...
- A.
- B.
- C.
- D.
- E.
Correct Answer
C.
20.

Himpunan penyelesaian dari adalah ...
- A.
- B.
- C.
- D.
- E.
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 ...
- A.
- B.
- C.
- D.
- E.
Correct Answer
A.
26.

Himpunan penyelesaian dari adalah ....
- A.
- B.
- C.
- D.
- E.
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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