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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 259
a.

Prove that x2+4x>2x−4x^2 + 4x > 2x - 4x2+4x>2x−4 for all real values of xxx.

[3]
b.

A student claims: "If I add 2 to a number and then square the sum, the result is always greater than the square of the original number." State, giving a reason, whether this claim is always true, sometimes true or never true.

[2]
Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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