This document contains notes for a mathematics chapter covering linear equations and inequalities. It introduces key topics like conversions between units of length, mass, time, and money. It also covers solving linear equations in two variables, simultaneous linear equations using substitution and elimination methods, and solving inequalities in one and two variables. Examples of each type of problem are provided.

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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