GRADE 9 MATHEMATICS
ALGEBRA & EQUATIONS
Professional Study & Revision Guide
Concepts • Worked Examples • Practice • Exam Tips • Answer Key
LEVEL TOPIC FORMAT
Grade 9 Algebra Revision + Practice
How to use this guide
Read the rule, follow the worked example, then solve the practice questions without looking at the answer
key. Show every algebraic step and check your final answer.
Original educational material prepared for independent study. It is not a reproduction of a textbook or another seller’s notes.
Grade 9 Mathematics • Algebra & Equations • 1
, Quick Formula & Method Sheet
Skill Rule / Method
Like terms Combine only terms with the same variables and powers.
Expand a(b + c) = ab + ac
Factorise Find the greatest common factor first.
Difference of squares a² − b² = (a − b)(a + b)
Linear equation Undo operations in reverse order; keep both sides balanced.
Indices × a■ × a■ = a■■■
Indices ÷ a■ ÷ a■ = a■■■
Power of a power (a■)■ = a■■
Arithmetic sequence nth term = dn + (first term − d)
Exam habit: write one clear algebraic step per line. This makes errors easier to find and your method easier
to follow.
Grade 9 Mathematics • Algebra & Equations • 2
ALGEBRA & EQUATIONS
Professional Study & Revision Guide
Concepts • Worked Examples • Practice • Exam Tips • Answer Key
LEVEL TOPIC FORMAT
Grade 9 Algebra Revision + Practice
How to use this guide
Read the rule, follow the worked example, then solve the practice questions without looking at the answer
key. Show every algebraic step and check your final answer.
Original educational material prepared for independent study. It is not a reproduction of a textbook or another seller’s notes.
Grade 9 Mathematics • Algebra & Equations • 1
, Quick Formula & Method Sheet
Skill Rule / Method
Like terms Combine only terms with the same variables and powers.
Expand a(b + c) = ab + ac
Factorise Find the greatest common factor first.
Difference of squares a² − b² = (a − b)(a + b)
Linear equation Undo operations in reverse order; keep both sides balanced.
Indices × a■ × a■ = a■■■
Indices ÷ a■ ÷ a■ = a■■■
Power of a power (a■)■ = a■■
Arithmetic sequence nth term = dn + (first term − d)
Exam habit: write one clear algebraic step per line. This makes errors easier to find and your method easier
to follow.
Grade 9 Mathematics • Algebra & Equations • 2
