![MODUL 1
SKIM TIUSYEN FELDA (STF) MATEMATIK SPM “ENRICHMENT’
TOPIC : SIMULTANEOUS LINEAR EQUATIONS
TIME : 2 HOUR
1. Calculate the values of m and n that satisfy the simultaneous linear equations:
4m + n = 2 and 2m – 3n = 8 [ 4 marks]
2. Calculate the values of m and n that satisfy the simultaneous linear equations:
1
m - 3n = 10
2
5m + 6n = -8 [ 4 marks]
3. Calculate the values of m and n that satisfy the simultaneous linear equations:
2m – n = 7
m – 2n = 5 [ 4 marks]](https://image.slidesharecdn.com/cdocumentsandsettingsusermydocumentsmodule1-simultenouslinearandequations-090711085426-phpapp02/85/Intervensi-Modul-1-Simultaneous-1-320.jpg)
![4. Calculate the values of p and q that satisfy the simultaneous linear equations:
p + 2q = 6
3
p – q = -7
2
[ 4 marks]
5. Calculate the values of m and n that satisfy the simultaneous linear equations:
4m - 3n = 7 and m + 6n = 4 [ 4 marks]
6. Calculate the values of p and q that satisfy the simultaneous linear equations:
2p - 3q = 13
4p + q = 5 [ 4 marks]](https://image.slidesharecdn.com/cdocumentsandsettingsusermydocumentsmodule1-simultenouslinearandequations-090711085426-phpapp02/85/Intervensi-Modul-1-Simultaneous-2-320.jpg)
![7. Calculate the values of p and q that satisfy the simultaneous linear equations:
1
p – 2q = 13
2
3p + 4q = -2 [ 4 marks]
8. Calculate the values of k and w that satisfy the simultaneous linear equations:
2k – 3w = 10 and 4k + w = -1 [ 4 marks]
9. Calculate the values of m and n that satisfy the simultaneous linear equations:
2m - 5n = -12 and 3m + n = -1 [ 4 marks]](https://image.slidesharecdn.com/cdocumentsandsettingsusermydocumentsmodule1-simultenouslinearandequations-090711085426-phpapp02/85/Intervensi-Modul-1-Simultaneous-3-320.jpg)
![10. Calculate the values of x and y that satisfy the simultaneous linear equations:
x – 3y = 5
3x – y = 3 [ 4 marks]
11. Calculate the values of s and t that satisfy the simultaneous linear equations:
8s + 3t = 12
6s – 9t = 24 [ 4 marks]
12. Calculate the values of m and n that satisfy the simultaneous linear equations:
m - 3n = 6 and 2m – n = 7 [ 4 marks]](https://image.slidesharecdn.com/cdocumentsandsettingsusermydocumentsmodule1-simultenouslinearandequations-090711085426-phpapp02/85/Intervensi-Modul-1-Simultaneous-4-320.jpg)
![13. Calculate the values of k and h that satisfy the simultaneous linear equations:
4k - 3h = 10
2k – 5h = 12 [ 4 marks]
14. Calculate the values of m and n that satisfy the simultaneous linear equations:
2m + 3n = 9
1
m–n=2 [ 4 marks]
3
15. Calculate the values of m and n that satisfy the simultaneous linear equations:
2m – n = 2
4m – 3n = 5 [ 4 marks]](https://image.slidesharecdn.com/cdocumentsandsettingsusermydocumentsmodule1-simultenouslinearandequations-090711085426-phpapp02/85/Intervensi-Modul-1-Simultaneous-5-320.jpg)
![MODULE 1- ANSWERS
TOPIC: SIMULTENOUS LINEAR EQUATIONS
1. Calculate the values of m and n that satisfy the simultaneous linear equations:
4m + n = 2 and 2m – 3n = 8 [ 4 marks]
12m + 3n = 6 1
2m – 3n = 8
14m = 14 1
m=1 1
n = -2 1
2. Calculate the values of m and n that satisfy the simultaneous linear equations:
1
m - 3n = 10
2
5m + 6n = -8 [ 4 marks]
m - 6n = 20 1
5m + 6n = -8
6m = 12 1
m=2 1
n =-2 1
3. Calculate the values of m and n that satisfy the simultaneous linear equations:
2m – n = 7
m – 2n = 5 [ 4 marks]
2m – n = 7
2m – 4n = 10 1
3n = -3 1
n = -1 1
m =3 1
4. Calculate the values of p and q that satisfy the simultaneous linear equations:
p + 2q = 6
3
p – q = -7
2
[ 4 marks]
p + 2q = 6
3p – 2q = -14 1
4p= -8 1
p = -2 1
q =4 1](https://image.slidesharecdn.com/cdocumentsandsettingsusermydocumentsmodule1-simultenouslinearandequations-090711085426-phpapp02/85/Intervensi-Modul-1-Simultaneous-6-320.jpg)
![5. Calculate the values of m and n that satisfy the simultaneous linear equations:
4m - 3n = 7 and m + 6n = 4 [ 4 marks]
4m - 3n = 7
4m + 24n = 16 1
-27n = -9 1
1
n= 1
3
m =2 1
6. Calculate the values of p and q that satisfy the simultaneous linear equations:
2p - 3q = 13
4p + q = 5 [ 4 marks]
4p - 6q = 26 1
4p + q = 5
-7q = 21 1
q = -3 1
p =2 1
7. Calculate the values of p and q that satisfy the simultaneous linear equations:
1
p – 2q = 13
2
3p + 4q = -2 [ 4 marks]
p – 4q = 26 1
3p + 4q = -2
4p = 24 1
p=6 1
q = -5 1
8. Calculate the values of k and w that satisfy the simultaneous linear equations:
2k – 3w = 10 and 4k + w = -1 [ 4 marks]
4k – 6w = 20 1
4k + w = -1
-7w = 21 1
w = -3 1
1
k = 1
2](https://image.slidesharecdn.com/cdocumentsandsettingsusermydocumentsmodule1-simultenouslinearandequations-090711085426-phpapp02/85/Intervensi-Modul-1-Simultaneous-7-320.jpg)
![9. Calculate the values of m and n that satisfy the simultaneous linear equations:
2m - 5n = -12 and 3m + n = -1 [ 4 marks]
2m - 5n = -12
15m + 5n = -5 1
17m = 17 1
m = -1 1
n =2 1
10. Calculate the values of x and y that satisfy the simultaneous linear equations:
x – 3y = 5
3x – y = 3 [ 4 marks]
3x – 9y = 15 1
3x – y = 3
-8y = 12 1
3
y=- 1
2
1
x= 1
2
11. Calculate the values of s and t that satisfy the simultaneous linear equations:
8s + 3t = 12
6s – 9t = 24 [ 4 marks]
24s + 9t = 36 1
6s – 9t = 24
30s = 60 1
s=2 1
4
t=- 1
3
12. Calculate the values of m and n that satisfy the simultaneous linear equations:
m - 3n = 6 and 2m – n = 7 [ 4 marks]
2m - 6n = 12 1
2m - n = 7
-5n = 5 1
n = -1 1
m =3 1](https://image.slidesharecdn.com/cdocumentsandsettingsusermydocumentsmodule1-simultenouslinearandequations-090711085426-phpapp02/85/Intervensi-Modul-1-Simultaneous-8-320.jpg)
![13. Calculate the values of k and h that satisfy the simultaneous linear equations:
4k - 3h = 10
2k – 5h = 12 [ 4 marks]
4k - 3h = 10
4k – 10h = 24 1
-7h = -14 1
h=2 1
k=4 1
14. Calculate the values of m and n that satisfy the simultaneous linear equations:
2m + 3n = 9
1
m–n=2 [ 4 marks]
3
2m + 3n = 9
m – 3n = 6 1
3m = 15 1
m= 5 1
1
n = 1
3
15. Calculate the values of m and n that satisfy the simultaneous linear equations:
2m – n = 2
4m – 3n = 5 [ 4 marks]
6m – 3n = 6 1
4m – 3n = 5
2m = 1 1
1
m= 1
2
n =1 1](https://image.slidesharecdn.com/cdocumentsandsettingsusermydocumentsmodule1-simultenouslinearandequations-090711085426-phpapp02/85/Intervensi-Modul-1-Simultaneous-9-320.jpg)
Intervensi Modul 1 Simultaneous
- 1. MODUL 1 SKIM TIUSYEN FELDA (STF) MATEMATIK SPM “ENRICHMENT’ TOPIC : SIMULTANEOUS LINEAR EQUATIONS TIME : 2 HOUR 1. Calculate the values of m and n that satisfy the simultaneous linear equations: 4m + n = 2 and 2m – 3n = 8 [ 4 marks] 2. Calculate the values of m and n that satisfy the simultaneous linear equations: 1 m - 3n = 10 2 5m + 6n = -8 [ 4 marks] 3. Calculate the values of m and n that satisfy the simultaneous linear equations: 2m – n = 7 m – 2n = 5 [ 4 marks]
- 2. 4. Calculate the values of p and q that satisfy the simultaneous linear equations: p + 2q = 6 3 p – q = -7 2 [ 4 marks] 5. Calculate the values of m and n that satisfy the simultaneous linear equations: 4m - 3n = 7 and m + 6n = 4 [ 4 marks] 6. Calculate the values of p and q that satisfy the simultaneous linear equations: 2p - 3q = 13 4p + q = 5 [ 4 marks]
- 3. 7. Calculate the values of p and q that satisfy the simultaneous linear equations: 1 p – 2q = 13 2 3p + 4q = -2 [ 4 marks] 8. Calculate the values of k and w that satisfy the simultaneous linear equations: 2k – 3w = 10 and 4k + w = -1 [ 4 marks] 9. Calculate the values of m and n that satisfy the simultaneous linear equations: 2m - 5n = -12 and 3m + n = -1 [ 4 marks]
- 4. 10. Calculate the values of x and y that satisfy the simultaneous linear equations: x – 3y = 5 3x – y = 3 [ 4 marks] 11. Calculate the values of s and t that satisfy the simultaneous linear equations: 8s + 3t = 12 6s – 9t = 24 [ 4 marks] 12. Calculate the values of m and n that satisfy the simultaneous linear equations: m - 3n = 6 and 2m – n = 7 [ 4 marks]
- 5. 13. Calculate the values of k and h that satisfy the simultaneous linear equations: 4k - 3h = 10 2k – 5h = 12 [ 4 marks] 14. Calculate the values of m and n that satisfy the simultaneous linear equations: 2m + 3n = 9 1 m–n=2 [ 4 marks] 3 15. Calculate the values of m and n that satisfy the simultaneous linear equations: 2m – n = 2 4m – 3n = 5 [ 4 marks]
- 6. MODULE 1- ANSWERS TOPIC: SIMULTENOUS LINEAR EQUATIONS 1. Calculate the values of m and n that satisfy the simultaneous linear equations: 4m + n = 2 and 2m – 3n = 8 [ 4 marks] 12m + 3n = 6 1 2m – 3n = 8 14m = 14 1 m=1 1 n = -2 1 2. Calculate the values of m and n that satisfy the simultaneous linear equations: 1 m - 3n = 10 2 5m + 6n = -8 [ 4 marks] m - 6n = 20 1 5m + 6n = -8 6m = 12 1 m=2 1 n =-2 1 3. Calculate the values of m and n that satisfy the simultaneous linear equations: 2m – n = 7 m – 2n = 5 [ 4 marks] 2m – n = 7 2m – 4n = 10 1 3n = -3 1 n = -1 1 m =3 1 4. Calculate the values of p and q that satisfy the simultaneous linear equations: p + 2q = 6 3 p – q = -7 2 [ 4 marks] p + 2q = 6 3p – 2q = -14 1 4p= -8 1 p = -2 1 q =4 1
- 7. 5. Calculate the values of m and n that satisfy the simultaneous linear equations: 4m - 3n = 7 and m + 6n = 4 [ 4 marks] 4m - 3n = 7 4m + 24n = 16 1 -27n = -9 1 1 n= 1 3 m =2 1 6. Calculate the values of p and q that satisfy the simultaneous linear equations: 2p - 3q = 13 4p + q = 5 [ 4 marks] 4p - 6q = 26 1 4p + q = 5 -7q = 21 1 q = -3 1 p =2 1 7. Calculate the values of p and q that satisfy the simultaneous linear equations: 1 p – 2q = 13 2 3p + 4q = -2 [ 4 marks] p – 4q = 26 1 3p + 4q = -2 4p = 24 1 p=6 1 q = -5 1 8. Calculate the values of k and w that satisfy the simultaneous linear equations: 2k – 3w = 10 and 4k + w = -1 [ 4 marks] 4k – 6w = 20 1 4k + w = -1 -7w = 21 1 w = -3 1 1 k = 1 2
- 8. 9. Calculate the values of m and n that satisfy the simultaneous linear equations: 2m - 5n = -12 and 3m + n = -1 [ 4 marks] 2m - 5n = -12 15m + 5n = -5 1 17m = 17 1 m = -1 1 n =2 1 10. Calculate the values of x and y that satisfy the simultaneous linear equations: x – 3y = 5 3x – y = 3 [ 4 marks] 3x – 9y = 15 1 3x – y = 3 -8y = 12 1 3 y=- 1 2 1 x= 1 2 11. Calculate the values of s and t that satisfy the simultaneous linear equations: 8s + 3t = 12 6s – 9t = 24 [ 4 marks] 24s + 9t = 36 1 6s – 9t = 24 30s = 60 1 s=2 1 4 t=- 1 3 12. Calculate the values of m and n that satisfy the simultaneous linear equations: m - 3n = 6 and 2m – n = 7 [ 4 marks] 2m - 6n = 12 1 2m - n = 7 -5n = 5 1 n = -1 1 m =3 1
- 9. 13. Calculate the values of k and h that satisfy the simultaneous linear equations: 4k - 3h = 10 2k – 5h = 12 [ 4 marks] 4k - 3h = 10 4k – 10h = 24 1 -7h = -14 1 h=2 1 k=4 1 14. Calculate the values of m and n that satisfy the simultaneous linear equations: 2m + 3n = 9 1 m–n=2 [ 4 marks] 3 2m + 3n = 9 m – 3n = 6 1 3m = 15 1 m= 5 1 1 n = 1 3 15. Calculate the values of m and n that satisfy the simultaneous linear equations: 2m – n = 2 4m – 3n = 5 [ 4 marks] 6m – 3n = 6 1 4m – 3n = 5 2m = 1 1 1 m= 1 2 n =1 1