Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 9
17 practice questions
Practice questions
1–3 of 3 · Hard
Question 1
2 marks · Hard
Answer and see the solution →Prove that for any integer , the sum is always an odd number.
Question 2
4 marks · Hard
Answer and see the solution →Solve the simultaneous equations:
(a)[1 mark]Write down the equation to solve for \( x \ ).
(b)[2 marks]Solve the equation to find all possible values of \( x \ ). Give your answers to 2 decimal places.
(c)[1 mark]For each value of \( x \ ), find the corresponding value of \( y \ ). Give answers to 2 decimal places.
Question 3
4 marks · Hard
Answer and see the solution →A student claims: "A pair of equations, one linear and one quadratic, must always have two solutions for ." Is the student correct? Explain using an example for each possibility, referring to the graphs of the equations.