"If I multiply a number by 3 and add 4 the result is always greater than the original number."
State, giving a reason, whether the above statement is always true, sometimes true or never true.
257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.