Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 9
17 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Solve the simultaneous equations for :
Question 2
3 marks · Normal
Answer and see the solution →The graphs of y = x + 2 and y = x^2 – 2x are shown below.
Calculate the x-coordinates of the points where the graphs intersect.
Question 3
3 marks · Normal
Answer and see the solution →A student claims that all prime numbers are odd. Explain, giving a counter-example, whether this claim is true or false.
Question 4
4 marks · Normal
Answer and see the solution →Solve the following system of equations.
(a)[3 marks]Given y = x^2 + 1 and x + y = 7, find the two possible values of x.
(b)[1 mark]For one of the solutions in part (a), find the corresponding value of y.
Question 5
4 marks · Normal
Answer and see the solution →The table shows several points that lie on the graph of y = x^2 – 3x + 2.
Some values of y = x^2 – 3x + 2 x y 0 2 1 0 2 0 3 2 (a)[2 marks]Plot the points from the table on the axes below and draw a smooth curve through them.
Axes for y = x^2 – 3x + 2 (b)[2 marks]Use your graph to estimate the solutions to y = 0.
Question 6
2 marks · Normal
Answer and see the solution →Give a counter-example to show that the statement below is false:
The difference between two numbers is always less than their sum.
Question 7
3 marks · Normal
Answer and see the solution →Solve the following simultaneous equations for x and y:
Question 8
3 marks · Normal
Answer and see the solution →Explain, using algebraic methods, why the system below can have zero, one or two solutions:
where c is a number.