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Quiz

Year 1: Rational algebraic expressions

10 questions with solutions for year 1: powers, adding, subtracting and multiplying polynomials, factorising, HCF and LCM, algebraic fractions – review problems.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. x⁵ · x² · x = xⁿ. n = ?

2. 2,5x − (−0,5x) = ?

3. Work out quickly: 401²

4. Work out quickly: 1002²

5. Factorise: a³ + 3a² + 3a + 9

6. Factorise: 12ax − 6bx + 2ay − by

7. Factorise: a² − 2ab + b² − c²

8. HCF(60, 900, 75) = ?

9. LCM(75, 60, 125) = ?

10. Simplify: (x² − 1)/(x² − 2x + 1)