tugas mata pelajaran : matematika hari/tanggal · tugas mata pelajaran : matematika kelas : x...
TRANSCRIPT
TUGAS
Mata Pelajaran : Matematika Kelas : X Hari/Tanggal :
Selesaikan persamaan nilai mutlak berikut (jika ada):
1. |2x 8| |x 4|
2. |2x 8| |x 4|
3. |2x 6| |x 4|
4. |2x 6| |x 4|
5. |2x 4| |x 4|
6. |2x 4| |x 4|
7. |2x 12| |x 5|
8. |2x 12| |x 4|
9. |x 14| |x 4|
10. |x 1| |2x 4|
11. |4x 2| |x 4|
12. |4x 2| |x 4|
13. |x 10| |2x 4|
14. |x 1| |3x 4|
15. |3x 2| |x 4|
16. |3x 2| |x 4|
17. |2x 2| |x 4|
18. |2x 2| |x 4|
19. |4x 1| |x 4|
20. |4x 1| |x 4|
21. |3x 3| |x 4|
22. |3x 3| |x 4|
23. |x 8| |2x 4|
24. |x 8| |2x 5|
25. |x 9| |3x 4|
26. |x 9| |3x 4|
27. |x 7| |2x 1|
28. |x 7| |2x 4|
29. |x 6| |2x 4|
30. |x 6| |2x 4|
31. |1 2x | |x 4|
32. |2 8| |x 4|
33. |2 x | |3x 4|
34. |5 x | |2x 4|
35. |6 x | |2x 4|
36. |6 2x | |x 4|
Penyelesaian:
1. 2x 82 x 42 , Solution is:
4
3,12
2x 82 x 42 0
3x2 40x 48 0
x 123x 4 0
x 12 0 , Solution is: 12
3x 4 0 , Solution is: 4
3
2. 2x 82 x 42 , Solution is: 12, 4
3
2x 82 x 42 0
3x2 40x 48 0
3x 4x 12 0
3x 4 0 , Solution is: 4
3
x 12 0 , Solution is: 12
3. 2x 62 x 42 , Solution is:
2
3,10
2x 62 x 42 0
3x2 32x 20 0
x 103x 2 0
x 10 0 , Solution is: 10
3x 2 0 , Solution is: 2
3
4. 2x 62 x 42 , Solution is:
10
3, 2
2x 62 x 42 0
3x2 16x 20 0
x 23x 10 0
x 2 0 , Solution is: 2
3x 10 0 , Solution is: 10
3
5. 2x 42 x 42 , Solution is: 8,0
2x 42 x 42 0
3x2 24x 0
3xx 8 0
3x 0 , Solution is: 0
x 8 0 , Solution is: 8
6. 2x 42 x 42 , Solution is:
8
3, 0
4x2 16x 16 x2 8x 16
3x2 8x 0
x3x 8 0
x 0
3x 8 0 , Solution is: 8
3
7. 2x 122 x 52 , Solution is:
17
3,7
4x2 48x 144 x2 10x 25
3x2 38x 119 0
x 73x 17 0
x 7 0 , Solution is: 7
3x 17 0 , Solution is: 17
3
8. 2x 122 x 42 , Solution is: 8, 16
3
4x2 48x 144 x2 8x 16
3x2 40x 128 0
3x2 40x 128 0
3x 16x 8 0
3x 16 0 , Solution is: 16
3
x 8 0 , Solution is: 8
9. x 142 2x 42 , Solution is: 18, 10
3
x2 28x 196 4x2 16x 16
3x2 44x 180 0
3x 10x 18 0
3x 10 0 , Solution is: 10
3
x 18 0 , Solution is: 18
10. x 12 2x 42 , Solution is: 3, 5
3
x2 2x 1 4x2 16x 16
3x2 14x 15 0
3x 5x 3 0
3x 5 0 , Solution is: 5
3
x 3 0 , Solution is: 3
11. 4x 22 x 42 , Solution is:
2
5,2
16x2 16x 4 x2 8x 16
15x2 24x 12 0
3x 65x 2 0
3x 6 0 , Solution is: 2
5x 2 0 , Solution is: 2
5
12. 4x 22 x 42 , Solution is:
6
5, 2
3
16x2 16x 4 x2 8x 16
15x2 8x 12 0
3x 25x 6 0
3x 2 0 , Solution is: 2
3
5x 6 0 , Solution is: 6
5
13. x 102 2x 42 , Solution is: 14,2
x2 20x 100 4x2 16x 16
3x2 36x 84 0
x2 12x 28 0
x 2x 14 0
x 2 0 , Solution is: 2
x 14 0 , Solution is: 14
14. x 12 3x 42 , Solution is:
3
2, 5
4
x 12 x2 2x 1 3x 42 9x2 24x 16
8x2 22x 15 0
4x 52x 3 0
4x 5 0 , Solution is: 5
4
2x 3 0 , Solution is: 3
2
15. 3x 22 x 42 , Solution is:
1
2,3
9x2 12x 4 x2 8x 16
3x 22 x 42 0
8x2 20x 12 0
2x2 5x 3 0
x 3 0 , Solution is: 3
2x 1 0 , Solution is: 1
2
16. 3x 22 x 42 , Solution is:
3
2,1
9x2 12x 4 x2 8x 16
8x2 4x 12 0
2x2 x 3 0
x 12x 3 0
x 1 0 , Solution is: 1
2x 3 0 , Solution is: 3
2
17. 2x 22 x 42 , Solution is:
2
3,6
4x2 8x 4 x2 8x 16
3x2 16x 12 0
x 63x 2 0
x 6 0 , Solution is: 6
3x 2 0 , Solution is: 2
3
18. 2x 22 x 42 , Solution is: 2,2
4x2 8x 4 x2 8x 16
3x2 12 0
x2 4 0
x 2x 2 0
x 2 0 , Solution is: 2
x 2 0 , Solution is: 2
19. 4x 12 x 42 , Solution is:
3
5, 5
3
16x2 8x 1 x2 8x 16
15x2 16x 15 0
3x 55x 3 0
3x 5 0 , Solution is: 5
3
5x 3 0 , Solution is: 3
5
20. 4x 12 x 42 , Solution is: 1,1
16x2 8x 1 x2 8x 16
15x2 15 0
x 1x 1 0
21. 3x 32 x 42 , Solution is:
1
4, 7
2
9x2 18x 9 x2 8x 16
8x2 26x 7 0
2x 74x 1 0
2x 7 0 , Solution is: 7
2
4x 1 0 , Solution is: 1
4
22. 3x 32 x 42 , Solution is:
7
4, 1
2
9x2 18x 9 x2 8x 16
8x2 10x 7 0
2x 14x 7 0
2x 1 0 , Solution is: 1
2
4x 7 0 , Solution is: 7
4
23. x 82 2x 42 , Solution is: 12, 4
3
x2 16x 64 4x2 16x 16
3x2 32x 48 0
3x 4x 12 0
3x 4 0 , Solution is: 4
3
x 12 0 , Solution is: 12
24. x 82 2x 52 , Solution is: 1,13
x2 16x 64 4x2 20x 25
3x2 36x 39 0
x2 12x 13 0
x2 12x 13 0
x 13x 1 0
x 13 0 , Solution is: 13
x 1 0 , Solution is: 1
25. x 92 3x 42 , Solution is:
13
2, 5
4
x2 18x 81 9x2 24x 16
8x2 42x 65 0
8x2 42x 65 0
4x 52x 13 0
4x 5 0 , Solution is: 5
4
2x 13 0 , Solution is: 13
2
26. x 92 3x 42 , Solution is:
13
4, 5
2
x2 18x 81 9x2 24x 16
8x2 6x 65 0
8x2 6x 65 0
2x 54x 13 0
2x 5 0 , Solution is: 5
2
4x 13 0 , Solution is: 13
4
27. x 72 2x 12 , Solution is: 8,2
x2 14x 49 4x2 4x 1
3x2 18x 48 0
x2 6x 16 0
x 2x 8 0
28. x 72 2x 42 , Solution is:
11
3,3
x2 14x 49 4x2 16x 16
3x2 2x 33 0
3x2 2x 33 0
x 33x 11 0
x 3 0 , Solution is: 3
3x 11 0 , Solution is: 11
3
29. x 62 2x 42 , Solution is: 10, 2
3
x2 12x 36 4x2 16x 16
3x2 28x 20 0
3x2 28x 20 0
3x 2x 10 0
3x 2 0 , Solution is: 2
3
x 10 0 , Solution is: 10
30. x 62 2x 42 , Solution is:
10
3,2
x2 12x 36 4x2 16x 16
3x2 4x 20 0
3x2 4x 20 0
x 23x 10 0
x 2 0 , Solution is: 2
3x 10 0 , Solution is: 10
3
31. 1 2x2 x 42 , Solution is:
5
3,3
4x2 4x 1 x2 8x 16
3x2 4x 15 0
x 33x 5 0
x 3 0 , Solution is: 3
3x 5 0 , Solution is: 5
3
32. 2 82 x 42 , Solution is: 14,6
100 x2 8x 16
x2 8x 84 0
x 6x 14 0
x 6 0 , Solution is: 6
x 14 0 , Solution is: 14
33. 2 x2 3x 42 , Solution is:
3
2, 1
x2 4x 4 9x2 24x 16
8x2 20x 12 0
8x2 20x 12 0
2x2 5x 3 0
x 12x 3 0
x 1 0 , Solution is: 1
2x 3 0 , Solution is: 3
2
34. 5 x2 2x 42 , Solution is: 3,1
x2 10x 25 4x2 16x 16
3x2 6x 9
x2 2x 3 0
x 1x 3 0
x 1 0
, Solution is: 1
x 3 0 , Solution is: 3
35. 6 x2 2x 42 , Solution is:
10
3,2
x2 12x 36 4x2 16x 16
3x2 4x 20 0
3x2 4x 20 0
x 23x 10 0
x 2 0 , Solution is: 2
3x 10 0 , Solution is: 10
3
36. 6 2x2 x 42 , Solution is:
10
3, 2
4x2 24x 36 x2 8x 16
3x2 16x 20 0
x 23x 10 0
x 2 0 , Solution is: 2
3x 10 0 , Solution is: 10
3
Selesaikan Pertidaksamaan berikut:
1. |3 2x | 5
2. |3x 2| 5
3. |2x 15| 7
4. |2x 11| 7
5. |2x 13| 7
6. |2x 9| 7
7. |3x 5| 7
8. |3x 5| 7
9. |3x 5| 7
10. |3x 5| 7
11. |2x 9| 7
12. |2x 5| 7
13. |3x 8| 7
14. |3x 5| 7
15. |2x 9| 17
16. |2x 5| 7
17. |2x 9| 13
18. |2x 5| 7
19. |3x 5| 7
20. |5x 5| 7
21. |2 5x | 7
22. |5 3x | 7
23. |5x 8| 7
24. |2x 5| 7
25. |2x 3| 7
26. |2x 4| 12
27. |2x 12| 6
28. |3x 5| 10
29. |2x 11| 7
30 |3x 5| 7
31. |3x 5| 7
32. |2x 5| 7
33. |2x 5| 7
34. |3x 5| 7
35. |2x 9| 7
36. |2x 5| 9
Penyelesaian:
1. |3 2x | 5 , Solution is: 1,4
5 3 2x 5
5 3 2x 5 3
8 2x 2
4 x 2
2 x 4
2. |3x 2| 5 , Solution is: 7
3, 1
5 3x 2 5
5 2 3x 5 2
7 3x 3
7
3 x 1
3. |2x 15| 7 , Solution is: 4, ,11
2x 15 7 atau 2x 15 7
2x 7 15 atau 2x 7 15
2x 22 atau 2x 8
x 11 atau x 4
4. |2x 11| 7 , Solution is: 9,2
7 2x 11 7
7 11 2x 7 11
18 2x 4
9 x 2
5. |2x 13| 7 , Solution is: ,3 10,
2x 13 7 atau 2x 13 7
2x 7 13 atau 2x 7 13
2x 6 atau 2x 20
x 3 atau x 10
6. |2x 9| 7 , Solution is: 8,1
7 2x 9 7
7 9 2x 7 9
16 2x 2
8 x 1
7. |3x 5| 7 , Solution is: ,4 2
3,
3x 5 7 atau 3x 5 7
3x 7 5 atau 3x 7 5
3x 12 atau 3x 2
x 4 atau x 2
3
8. |3x 5| 7 , Solution is: 4, 2
3
7 3x 5 7
7 5 3x 7 5
12 3x 2
4 x 2
3
9. |3x 5| 7 , Solution is: ,4 2
3,
3x 5 7 atau 3x 5 7
3x 7 5 atau 3x 7 5
3x 12 atau 3x 2
x 4 atau x 2
3
10. |3x 5| 7 , Solution is: ,4 2
3,
3x 5 7 atau 3x 5 7
3x 7 5 atau 3x 7 5
3x 12 atau 3x 2
x 4 atau x 2
3
11. |2x 9| 7 , Solution is: 8,1
7 2x 9 7
7 9 2x 7 9
16 2x 2
8 x 1
12. |2x 5| 7 , Solution is: 1, ,6
2x 5 7 atau 2x 5 7
2x 7 5 atau 2x 7 5
2x 12 atau 2x 2
x 6 atau x 1
13. |3x 8| 7 , Solution is: 5, 1
3
7 3x 8 7
7 8 3x 7 8
15 3x 1
5 x 1
3
14. |3x 5| 7 , Solution is: ,4 2
3,
3x 5 7 atau 3x 5 7
3x 7 5 atau 3x 7 5
3x 12 atau 3x 2
x 4 atau x 2
3
15. |2x 9| 17 , Solution is: 13,4
17 2x 9 17
17 9 2x 17 9
26 2x 8
13 x 4
16. |2x 5| 7 , Solution is: 1, ,6
2x 5 7 atau 2x 5 7
2x 7 5 atau 2x 7 5
2x 12 atau 2x 2
x 6 atau x 1
17. |2x 9| 13 , Solution is: 2, ,11
2x 9 13 atau 2x 9 13
2x 13 9 atau 2x 13 9
2x 22 atau 2x 4
x 11 atau x 2
18. |2x 5| 7 , Solution is: 6,1
7 2x 5 7
7 5 2x 7 5
12 2x 2
6 x 1
19. |3x 5| 7 , Solution is: ,4 2
3,
3x 5 7 atau 3x 5 7
3x 7 5 atau 3x 7 5
3x 12 atau 3x 2
x 4 atau x 2
3
20. |5x 5| 7 , Solution is: 12
5, 2
5
7 5x 5 7
7 5 5x 7 5
12 5x 2
12
5 x 2
5
21. |2 5x | 7 , Solution is: 1, , 9
5
2 5x 7 atau 2 5x 7
5x 7 2 atau 5x 7 2
5x 9 atau 5x 5
x 9
5 atau x 1
22. |5 3x | 7 , Solution is: 4, , 2
3
5 3x 7 atau 5 3x 7
3x 7 5 atau 3x 7 5
3x 12 atau 3x 2
x 2
3 atau x 4
23. |5x 8| 7 , Solution is: 3, 1
5
7 5x 8 7
15 5x 1
3 x 1
5
24. |2x 5| 7 , Solution is: 1, ,6
2x 5 7 atau 2x 5 7
2x 7 5 atau 2x 7 5
2x 12 atau 2x 2
x 6 atau x 1
25. |2x 3| 7 , Solution is: 5,2
7 3 2x 7 3
10 2x 4
5 x 2
26. |2x 4| 12 , Solution is: 4, ,8
2x 4 12 atau 2x 4 12
2x 12 4 atau 2x 12 4
2x 16 atau 2x 8
x 8 atau x 4
27. |2x 12| 6 , Solution is: 9,3
6 2x 12 6
6 12 2x 6 12
18 2x 6
9 x 3
28. |3x 5| 10 , Solution is: ,5 5
3,
3x 5 10 atau 3x 5 10
3x 10 5 atau 3x 10 5
3x 15 atau 3x 5
x 5 atau x 5
3
29. |2x 11| 7 , Solution is: 9,2
7 2x 11 7
7 11 2x 7 11
18 2x 4
9 x 2
30 |3x 5| 7 , Solution is: ,4 2
3,
3x 5 7 atau 3x 5 7
3x 12 atau 3x 5 7
3x 12 atau 3x 2
x 4 atau x 2
3
31. |3x 5| 7 , Solution is: ,4 2
3,
3x 5 7 atau 3x 5 7
3x 12 atau 3x 2
x 4 atau x 2
3
32. |2x 5| 7 , Solution is: ,1 6,
2x 5 7 atau 2x 5 7
2x 2 atau 2x 12
x 1 atau x 6
33. |2x 5| 7 , Solution is: 1, ,6
2x 5 7 atau 2x 5 7
2x 12 atau 2x 2
x 6 atau x 1
34. |3x 5| 7 , Solution is: 4, 2
3
7 3x 5 7
12 3x 2
4 x 2
3
35. |2x 9| 7 , Solution is: 1, ,8
2x 9 7 atau 2x 9 7
2x 16 atau 2x 2
x 8 atau x 1
36. |2x 5| 9 , Solution is: 7,2
9 2x 5 9
14 2x 4
7 x 2
Sketsalah Grafik:
1. y |6 2x |
2. y |3x 6|
3. y |2x 14|
4. y |2x 10|
5. y |2x 12|
6. y |2x 8|
7. y |3x 15|
8. y |3x 15|
9. y |3x 21|
10. y |2x 14|
11. y |3x 9|
12. y |3x 12|
13. y |3x 9|
14. y |3x 18|
15. y |3x 18|
16. y |3x 24|
17. y |3x 24|
18. y |5x 15|
19. y |5x 15|
20. y |5x 25|
21. y |5x 25|
22. y |x 6|
23. y |x 6|
24. y |2x 18|
25. y |2x 4|
26. y |2x 4|
27. y |2x 12|
28. y |3x 5|
29. y |2x 11|
30 y |x 3|
31. y |x 3|
32. y |x 5|
33. y |x 5|
34. y |x 7|
35. y |x 9|
36. y |x 5|
Penyelesaian:
1. y |6 2x |
-2 -1 0 1 2 3 4 5 6 7
2
4
6
8
10
x
y
2. y |3x 6|
-5 -4 -3 -2 -1 0 1 2 3 4 5
5
10
15
20
x
y
3. y |2x 14|
-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
2
4
6
8
10
x
y
4. y |2x 10|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
5
10
15
x
y
5. y |2x 12|
0 1 2 3 4 5 6 7 8 9 100
5
10
15
x
y
6. y |2x 8|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
2
4
6
8
10
12
x
y
7. y |3x 15|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
5
10
15
x
y
8. y |3x 15|
-1 0 1 2 3 4 5 6 7 8 9 10
2
4
6
8
10
12
14
16
x
y
9. y |3x 21|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5
2
4
6
8
10
12
14
16
18
20
22
24
x
y
10. y |2x 14|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
5
10
15
20
x
y
11. y |3x 9|
-5 -4 -3 -2 -1 0 1 2 3 4
5
10
15
20
x
y
12. y |3x 12|
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
5
10
15
20
25
x
y
13. y |3x 9|
-3 -2 -1 0 1 2 3 4 5 6 7
2
4
6
8
10
12
14
x
y
14. y |3x 18|
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
2
4
6
8
10
12
14
16
18
x
y
15. y |3x 18|
-2 -1 0 1 2 3 4 5 6 7 8 9
2
4
6
8
10
12
14
16
18
x
y
16. y |3x 24|
-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
5
10
15
20
25
x
y
17. y |3x 24|
-1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
5
10
15
20
25
x
y
18. y |5x 15|
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
5
10
15
20
x
y
19. y |5x 15|
-2 -1 0 1 2 3 4 5 6 7 8
5
10
15
20
x
y
20. y |5x 25|
-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
10
20
30
40
50
x
y
21. y |5x 25|
-1 0 1 2 3 4 5 6 7 8 9 10 11 12 13
10
20
30
40
50
x
y
22. y |x 6|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
2
4
6
8
10
x
y
23. y |x 6|
-2 -1 0 1 2 3 4 5 6 7 8 9 10
2
4
6
8
10
x
y
24. y |2x 18|
-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
5
10
15
20
25
x
y
25. y |2x 4|
-5 -4 -3 -2 -1 0 1 2 3 4 5
2
4
6
8
10
12
14
x
y
26. y |2x 4|
-5 -4 -3 -2 -1 0 1 2 3
2
4
6
8
10
12
14
x
y
27. y |2x 12|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
2
4
6
8
10
12
14
x
y
28. y |3x 5|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
2
4
6
8
10
x
y
29. y |2x 11|
30 y |x 3|
-2 -1 0 1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
7
8
x
y
31. y |x 3|
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
1
2
3
4
5
6
7
8
x
y
32. y |x 5|
-1 0 1 2 3 4 5 6 7 8
1
2
3
4
5
6
7
8
9
10
x
y
33. y |x 5|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
1
2
3
4
5
6
7
8
9
10
x
y
34. y |x 7|
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3
2
4
6
8
10
12
x
y
35. y |x 9|
-15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
2
4
6
8
10
12
x
y
36. y |x 5|
-8 -7 -6 -5 -4 -3 -2 -1 0 1
1
2
3
4
5
6
7
8
9
10
x
y