Q1. Simplifying expressions (collect like terms; with brackets) [4 marks]
(a) Simplify:
Answer:
(b) Simplify:
Answer:
Q2. Laws of indices (incl. negative/zero) — evaluate integers [4 marks]
(a) Evaluate: →
(b) Evaluate: →
Q3. Expanding and factorising single brackets [6 marks]
(a) Expand:
Answer:
(b) Factorise:
Answer:
(c) Factorise:
Answer:
Q4. Double brackets & factorising quadratics (solve by factorising) [6 marks]
(a) Expand:
Answer (no brackets; write the expanded expression):
(b) Factorise:
Answer (use brackets):
(c) Hence solve : x = , x =
Q5. Solving linear equations (with brackets / fractions) [5 marks]
(a) Solve: → x =
(b) Solve: → x =
Q6. Simultaneous linear equations (elimination/substitution) [6 marks]
Solve the simultaneous equations:
Solution: x = , y =
Q7. Inequalities — solve & show on a number line [5 marks]
Solve:
Write the solution inequality (use the buttons if helpful):
Q8. Sequences — first four terms & the nth term [5 marks]
(a) The nth term of a sequence is . Write down the first four terms.
, , ,
(b) The sequence is . Write the nth term as an expression in n:
Q9. Substitution into expressions/formulae [4 marks]
(a) Evaluate for →
(b) Evaluate for →
Q10. Graphs — Complete table & plot for [6 marks]
Complete the table for , then unlock plotting and drag the 5 points to the correct coordinates.
| x | −2 | −1 | 0 | 1 | 2 |
|---|---|---|---|---|---|
| y |
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