# 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: 1,117
Questions: 30 | Attempts: 1,117

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• 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)

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.

• A.

-4 dan 2

• B.

-2 dan 4

• C.

-2 dan 2

• D.

Hanya 2

• E.

Hanya 4

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.

• A.

1 < x < 5

• B.

-1 < x < 4

• C.

-2 < x < 2

• D.

X < 1 atau x > 5

• E.

X < -1 atau x > 4

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.

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 =

E. y =
• 6.

• A.

-6 < x < 3

• B.

0 < x < 3

• C.

X < 3 atau x > 6

• D.

-3 < x < 6

• E.

X < -6 atau x > 3

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

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.

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

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.

• 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

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.

• A.

1 < x < 2

• B.

1 < x < 10

• C.

10 < x < 100

• D.

X < 1 atau x > 10

• E.

X < 2 atau x > 10

C. 10 < x < 100
• 12.

B.
• 13.

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

• A.

- 4

• B.

- 2

• C.

1

• D.

3

• E.

5

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

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)

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

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

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 â‰¥ 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

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.

C.
• 20.

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

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)

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

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

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.

A.
• 26.

B.
• 27.

• A.

- 2

• B.

- 1

• C.

0

• D.

1

• E.

2

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

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.

• A.

0,04

• B.

0,2

• C.
• D.

5

• E.
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

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