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Language
Parts: Variable, coefficient, constant, term; 2x = 2 × x
Statements: Expression ≠ equation; identity holds for all allowed values
Simplify: Collect same powers; multiply coefficients and index rules
Substitute
Negatives: Replace values in brackets before powers; follow order
Units: v = u+at; 5+2×4 = 13 m/s
Machines
Forward: Multiply by 3 then add 2 → 3x+2
Reverse: Undo in reverse: (17−2) ÷ 3 = 5
Build / check
Word order: Twice a number minus five = 2x−5; 5−2x differs
Fixed charge: Four tickets and one £3 fee → C = 4p+3
Instruction: Simplify keeps variables; evaluate gives value; test ≠ proof
Connections
Language → Machines: Algebraic language describes the machine
Substitute → Build / check: Substitution checks a model at a given input
