Soal Remidial Matematika Kelas X

1. Himpunan penyelesaian persamaan

square root of open parentheses 1 third close parentheses to the power of minus 2 x plus 2 end exponent end root space equals space 81

adalah ...

not-available-via-ai

Explanation

not-available-via-ai

2. Perhatikan gambar di bawah ini, jika $c subscript 1$ adalah grafik fungsi : y =

2 subscript log space x end subscript

maka grafik

c subscript 2

adalah ....

y =

not-available-via-ai

Explanation

not-available-via-ai

3. Penyelesaian dari sistem persamaan :y = -3x - 2y =

4 x squared minus 15 x plus 7

adalah x dan y maka nilai 5x + 3y = ...

15

3

-5

-12

-17

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.

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.

4. Himpunan penyelesaian dari

3 to the power of 5 x minus 10 end exponent space equals 1

adalah ....

not-available-via-ai

Explanation

not-available-via-ai

5. Nilai y yang memenuhi sistem persamaany =

2 x squared minus x minus 12

y =

x squared plus 5 x plus 4

adalah ...

- 2 atau 8

- 3 atau 7

4 atau 16

-3 atau 79

-2 atau 108

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.

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.

6. Penyelesaian pertidaksamaan

1 half subscript log open parentheses x squared plus 2 x close parentheses less than space minus 3 end subscript

adalah ....

x < -2 atau x > 2

x < -4 atau x > -2

x < -4 atau x > 2

-2 < x < 4

-4 < x < 2

The correct answer is -4

Explanation

The correct answer is -4

7. Diketahui fungsi eksponen f(x) =

2 to the power of x

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

32

10

4

16

8

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.

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.

8. Domain dari y =

4 subscript log space 5 x end subscript

adalah ...

not-available-via-ai

Explanation

not-available-via-ai

9. Penyelesaian pertidaksamaan

log squared x minus 3 space log space x plus 2 space less than space 0

adalah ....

1 < x < 2

1 < x < 10

10 < x < 100

x < 1 atau x > 10

x < 2 atau x > 10

not-available-via-ai

Explanation

not-available-via-ai

10. Himpunan penyelesaian pertidaksamaan

x squared minus 3 x minus 4 less or equal than 0

adalah ...

not-available-via-ai

Explanation

not-available-via-ai

11. Himpunan penyelesaian dari pertidaksamaan

fraction numerator 1 minus 2 x over denominator 2 minus x end fraction greater or equal than 3

x < 2 atau

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

The correct answer is the set of solutions for the inequality x

Explanation

The correct answer is the set of solutions for the inequality x

12. Himpunan penyelesaian pertidaksamaan

3 x squared plus 3 x minus 1 greater than x squared minus x minus 1

adalah ...

0 < x < 2

-2 < x < 0

x < -2 atau x > 0

x < 0 atau x > 2

The correct answer is 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.

Explanation

The correct answer is 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.

13. Nilai x yang memenuhi persamaan

8 subscript log open parentheses x subscript log 25 end subscript close parentheses equals 2 over 3 end subscript

0,04

0,2

5

not-available-via-ai

Explanation

not-available-via-ai

14. Nilai x yang memenuhi persamaan :

4 to the power of x plus 3 end exponent space equals square root of 8 to the power of x plus 5 end exponent end root space equals

5

4

3

2

1

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.

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.

15. Perhatikan Tabel berikut.dari tabel dibawah ini , nilai untuk log x berikutnya adalah ....

x	1	10	$10 squared$	$10 cubed$	$10 to the power of 4$	$10 to the power of minus 1 end exponent$	$10 to the power of minus 2 end exponent$	$10 to the power of minus 3 end exponent$
log x	0	1	2	3	4	-1	-2	-3

0 , 1 , 2 , 3

1 , 2 , 3 , 4

2 , 3 , 4 , -1

3 , 4 , -1 , -2

4, -1 , -2 , -3

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.

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.

16. Jika penyelesaian

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

1

2

3

4

5

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

17. Jika

x subscript 1

dan

x subscript 2

merupakan akar-akar yang memenuhi eksponensial :

maka nilai

open parentheses x subscript 1. x subscript 2 close parentheses

adalah ....

- 2

- 1

0

1

2

not-available-via-ai

Explanation

not-available-via-ai

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

x squared minus 5 x plus 4

adalah ....

- 4

- 2

1

3

5

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.

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.

19. Himpunan penyelesaian dari

4 x squared minus 4 x plus 1 less or equal than 9

adalah ...

not-available-via-ai

Explanation

not-available-via-ai

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

x squared plus y squared plus 4 x minus 6 y minus 32 equals 0

adalah ...

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

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

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

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

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

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.

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.

21. Nilai x yang memenuhi pertidaksamaan

open parentheses 1 half close parentheses to the power of x squared end exponent less than open parentheses 1 over 8 close parentheses to the power of 6 minus x end exponent

adalah ....

-6 < x < 3

0 < x < 3

x < 3 atau x > 6

-3 < x < 6

x < -6 atau x > 3

The correct answer is -6 3) or exclude values that are within the range (0 6). Therefore, the correct answer is -6

Explanation

The correct answer is -6 3) or exclude values that are within the range (0 6). Therefore, the correct answer is -6

22. Diketahui

x subscript 1

dan

x subscript 2

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

x subscript 1. x subscript 2

adalah ...

12

10

9

8

6

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.

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.

23. Fungsi eksponensial f(x) =

2 to the power of x

+ 1 memotong sumbu y pada titik ...

(2,0)

(1,0)

(0,2)

(3,0)

(0,0)

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.

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.

24. Nilai x yang memenuhi pertidaksamaan $2 to the power of x squared minus 3 x minus 4 end exponent space greater than space 1$ adalah ...

1 < x < 5

-1 < x < 4

-2 < x < 2

x < 1 atau x > 5

x < -1 atau x > 4

The correct answer is x 4. This is because the given inequality is x 4, which means that x is less than -1 or greater than 4. Both of these conditions satisfy the given inequality.

Explanation

The correct answer is x 4. This is because the given inequality is x 4, which means that x is less than -1 or greater than 4. Both of these conditions satisfy the given inequality.

25. Nilai x yang memenuhi persamaan :

3 to the power of 2 x end exponent minus 5.3 to the power of x minus 36 equals 0

adalah ...

-4 dan 2

-2 dan 4

-2 dan 2

hanya 2

hanya 4

The correct answer is "hanya 4". This means that the only value of x that satisfies the equation is 4.

Explanation

The correct answer is "hanya 4". This means that the only value of x that satisfies the equation is 4.

26. Diketahui sistem persamaan kuadraty =

5 x squared minus left parenthesis p plus 5 right parenthesis x plus 5

y =

x squared plus 4 x minus 4

Agar sistem persamaan tersebut mempunyai dua penyelesaian, maka batas-batas nilai p adalah ..

-3 < p < 21

-21 < p < -3

p < -3 atau p > 21

p < 3 atau p > 21

p < -21 atau p > 3

not-available-via-ai

Explanation

not-available-via-ai

27. Jika

2 subscript log space 3 end subscript equals a space d a n space 3 subscript log space 7 space end subscript equals b space d a n comma space m a k a space space fraction numerator 2 space plus a b over denominator 1 plus 2 a end fraction

not-available-via-ai

Explanation

not-available-via-ai

28. Himpunan penyelesaian dari sistem persamaan :

x squared plus y squared equals 13

x squared plus y squared minus 2 x equals 9

adalah ...

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

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

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

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

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

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.

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.