Section 5 - Algebra Equations & Inequalities

Progress from one-step equations to simultaneous systems and linear inequalities.

Chapters 14

Equations, inequalities & simultaneous systems.

Time invested 10.5 hrs

Approximate guided learning.

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Chapter 5.1

Solving one-step equations

Solve equations that need a single inverse operation.

40 min Start
Chapter 5.2

Solving two-step equations

Tackle equations requiring two sequential operations.

45 min Start
Chapter 5.3

Unknowns on both sides

Balance equations where variables appear on each side.

45 min Start
Chapter 5.4

Equations with brackets

Expand brackets, simplify, and solve confidently.

45 min Start
Chapter 5.5

Equations with fractions

Clear denominators and solve fractional equations.

50 min Start
Chapter 5.6

Forming & solving equations

Create equations from contexts and solve step by step.

45 min Start
Chapter 5.7

Problem solving with equations

Apply algebra to real-world puzzles.

45 min Start
Chapter 5.8

One-step inequalities

Solve and represent simple inequalities.

45 min Start
Chapter 5.9

Two-step inequalities

Extend techniques to multi-operation inequalities.

45 min Start
Chapter 5.10

Number line representations

Plot inequality solutions on number lines.

40 min Start
Chapter 5.11

Solving linear inequalities

Combine algebra and graphs to show solution sets.

45 min Start
Chapter 5.12

Simultaneous equations (graphical)

Plot two lines and read off intersection points.

50 min Start
Chapter 5.13

Simultaneous equations (elimination)

Use add/subtract strategies to find the solution pair.

50 min Start
Chapter 5.14

Simultaneous equations (substitution)

Substitute one equation into another to solve.

50 min Start

Next steps

Revisit algebraic expressions for extra fluency or head into Section 6 to explore sequences and growth patterns.