Linear equations and inequalities.
Connect algebraic solutions with intersections, inequalities and realistic constraints.
Work through the topic
Learn the method, follow the examples, then try the worksheet.
- 01
Multi-step linear equations
Solve linear equations with brackets, variables on both sides and fractional coefficients, then check the original equation.
- 02
Simultaneous equations by graphs, substitution and elimination
Find the common solution of two linear equations by graphing, substitution or elimination.
- 03
One/no/infinite solutions
Distinguish intersecting, parallel and coincident lines, and describe the complete solution set.
- 04
One-variable inequalities
Solve inequalities using equality-preserving steps, reversing the direction when multiplying or dividing by a negative number.
- 05
Two-variable inequalities and shaded regions
Use boundary lines, test points and overlapping half-planes to represent inequalities in two variables.
- 06
Practical simultaneous/inequality models and checks
Translate practical information into simultaneous equations or inequalities, solve it and check whether the result makes sense.
Topic review
Revisit the key ideas, then choose a practice paper.