Mathematics form 3-chapter 11 & 12 Linear Equation + Linear Inequalities © By Kelvin

1. Mathematics Form 3 – Chapter 11 & 12 © Notes Prepared by Kelvin
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Form 3 - Chapter 11 – Linear Equations II [Notes Completely]
In this chapter, you will learn:
1. The quantity of addition, subtraction, multiplication, division and square, square
root, cube and cube root.
2. The conversions of length, mass, time, area, volume and money.
3. Basic knowledge:
Length
1 km = m
1 m = cm
1 cm = mm
Mass
1 tonne = kg
1 kg = g
1g = mg
Time
1 minute = seconds
1 hour = minutes
1 day = hours
1 week = days
1 month = weeks/ days
1 (lunar) year = months/ days
1 leap year = days
Exercise
4. Fill in the blank with (=) and (≠).
2+4 ( ) 2×4 -2+13 ( ) -5+16 -7+4 ( ) 4-7
4 hour( ) 58minutes 10×5 ( )2×25 4(3-1) ( ) 3(4-1)
500ml ( ) 0.5l 8+4-2 ( ) 0×10+10 60×10 ( ) 0.6×100
RM 1.50 ( ) 1500sen 4×9 ( ) 62 73 ( ) 9×8
5. Linear Equation in two variables by given value of one variable.
6. Simultaneous linear equation in two variable.
7. 2 method of solving simultaneous linear equation is SUBTITUTION & ELIMINATION.
Form 3 - Chapter 12 – Linear Inequalities [Notes Completely]
In this chapter, you will learn:
1. Key Words,their symbol and example number line:
Key Words Symbol Key Words Symbol
- More than
- Greater than
- Less than
- Smaller than
- More/Greater than orequalto
- At least
- Minimum
- Cannot less than
- Less/Smaller than orequalto
- Speed limit
- Maximum
- Cannot more than

2. Mathematics Form 3 – Chapter 11 & 12 © Notes Prepared by Kelvin
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2. **Be careful of integer that contain negative or fraction or decimal or units.
3. Possible integer of the unknown:- eg: x>8 x=5, 6, 7…
4. Computation and Solving Inequalities in one variable:
5. Addition
+ >>(move to)>> -
6. Subtraction
- >>(move to)>> +
7. Multiplication
× >>(move to)>> ÷
8. Division
÷ >>(move to)>> ×
9. Simultaneous linear inequalities (common value)in number line.

3. Mathematics Form 3 – Chapter 11 & 12 © Notes Prepared by Kelvin
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10. Notes:
2

4. Mathematics Form 3 – Chapter 11 & 12 © Notes Prepared by Kelvin
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3. Solve the following simultaneous linear equations by substitution method.
4x+y = 21
y = 3x
5x+y = 18
x-y = 6
5x-y = 12
y = 2x
3x+2y = 32
y = x+1
p = q+3
4p-3q = 18
2x+y = 3
5x-2y = 30

5. Mathematics Form 3 – Chapter 11 & 12 © Notes Prepared by Kelvin
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2x+y = 5
3x+2y = 3
3x+2y = 10
2x+3y = 5
4p+3q = 6
3p-2q = 13
4. Solve the following simultaneous linear equations by elimination method.
4x+y = 21
y = 3x
5x+y = 18
x-y = 6
5x-y = 12
y = 2x
3x+2y = 32
y = x+1
p = q+3
4p-3q = 18
2x+y = 3
5x-2y = 30

6. Mathematics Form 3 – Chapter 11 & 12 © Notes Prepared by Kelvin
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2x+y = 5
3x+2y = 3
3x+2y = 10
2x+3y = 5
4p+3q = 6
3p-2q = 13

7. Mathematics Form 3 – Chapter 11 & 12 © Notes Prepared by Kelvin
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8. Mathematics Form 3 – Chapter 11 & 12 © Notes Prepared by Kelvin
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9. Mathematics Form 3 – Chapter 11 & 12 © Notes Prepared by Kelvin
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