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Mathematics form 3-chapter 11 & 12 Linear Equation + Linear Inequalities © By Kelvin
1.
Mathematics Form 3
– Chapter 11 & 12 © Notes Prepared by Kelvin 1 | P a g e 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 2 | P a g e 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 3 | P a g e 10. Notes: 2
4.
Mathematics Form 3
– Chapter 11 & 12 © Notes Prepared by Kelvin 4 | P a g e 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 5 | P a g e 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 6 | P a g e 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 7 | P a g e
8.
Mathematics Form 3
– Chapter 11 & 12 © Notes Prepared by Kelvin 8 | P a g e
9.
Mathematics Form 3
– Chapter 11 & 12 © Notes Prepared by Kelvin 9 | P a g e
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