Maths
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Form 1: Algebraic Expressions
Form 3 1 - LINEAR EQUATION II
2x + 3y = 7 3y = -2x + 7
Linear Equation in Two Variables
Thus, x and y is variable a and b is constant
•
What is simultaneous linear equation? – Contain the same of variables
• •
Involves Linear Equation Have common solution – To solve 2 simultaneous equations in 2 variables:
Simultaneous Linear Equation in 2 Variables
• Substitution method – Have to express one of the variables in terms of other.
•
Choose the equation where it easier to express it. – Elimination method – Is useful when numerical coefficient of at least one variable are the same.
•
Arrange the equation so that, ‘like terms’ are one on top of the other and the constant are on the side.
2 - GRAPH OF FUNCTION (How to draw graph of straight line) – Function – is a relationship between 2 variables such that for every value of the independent variables.
• •
Graph of function – representation of the relationship between 2 variables on Cartesian plane. Steps to draw a graph: • Construct a table of value.
•
Use scale given or find a suitable scale if not given. Draw and label the x-axis and • y-axis. • Use ordered pairs to plot the points on the Cartesian plane.
•
Join the point to form a straight line or a smooth curve.
Form 3 1 - LINEAR EQUATION II
2x + 3y = 7 3y = -2x + 7
Linear Equation in Two Variables
Thus, x and y is variable a and b is constant
•
What is simultaneous linear equation? – Contain the same of variables
• •
Involves Linear Equation Have common solution – To solve 2 simultaneous equations in 2 variables:
Simultaneous Linear Equation in 2 Variables
• Substitution method – Have to express one of the variables in terms of other.
•
Choose the equation where it easier to express it. – Elimination method – Is useful when numerical coefficient of at least one variable are the same.
•
Arrange the equation so that, ‘like terms’ are one on top of the other and the constant are on the side.
2 - GRAPH OF FUNCTION (How to draw graph of straight line) – Function – is a relationship between 2 variables such that for every value of the independent variables.
• •
Graph of function – representation of the relationship between 2 variables on Cartesian plane. Steps to draw a graph: • Construct a table of value.
•
Use scale given or find a suitable scale if not given. Draw and label the x-axis and • y-axis. • Use ordered pairs to plot the points on the Cartesian plane.
•
Join the point to form a straight line or a smooth curve.
