1
Understand two-variable equations
Recognise equations that can be written in the form ax + by + c = 0.
Chapter route
Linear Equations in Two Variables
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2
Test a solution pair
Substitute x and y values to verify whether they satisfy an equation.
3
Create solution pairs
Find multiple ordered pairs that satisfy a given equation.
4
Make a table for a line
Choose x-values and compute matching y-values systematically.
5
Draw a linear graph
Plot solution pairs and join them to form a straight line.
6
Read points on a graph
Connect graph position with whether an ordered pair satisfies the equation.
7
Write y = mx + c
Rearrange equations to identify slope and y-intercept.
8
Read slope and intercept
Extract the rate of change and starting value from a linear equation.
9
Sketch from slope-intercept form
Use intercept and slope movement to draw a line efficiently.
10
Graph with restricted values
Represent real contexts where only whole-number or non-negative solutions make sense.
11
Understand equation pairs
Identify two simultaneous linear relationships involving the same variables.
12
Find intersection graphically
Use the intersection point of two lines as the common solution.
13
Consistent or inconsistent?
Classify pairs by intersecting, parallel or coincident lines.
14
How many solutions?
Connect graph positions with one solution, no solution or infinitely many solutions.
15
Use substitution method
Substitute one expression into another equation to find both variables.
16
Use elimination method
Add or subtract equations after matching coefficients to eliminate a variable.
17
Choose a solving method
Select an efficient method based on equation structure.
18
Turn situations into equations
Identify variables and build equations from real situations.
19
Solve with two equations
Use simultaneous equations to answer practical problems and interpret the result.
20
Check the real-world answer
Verify units, constraints and reasonableness of the solution.
21
Use multiple representations
Translate the same relationship across table, graph and equation formats.
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