Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 9
17 practice questions
Practice questions
1–10 of 17
Question 1
2 marks · Easy
Answer and see the solution →Solve the following simultaneous equations for :
Question 2
2 marks · Easy
Answer and see the solution →Explain how to find the intersection points of the graphs of and .
Question 3
3 marks · Easy
Answer and see the solution →The statement is: "The sum of any two even numbers is always even."
(a)[1 mark]Write an algebraic expression for two even numbers.
(b)[2 marks]Show algebraically that their sum must be even.
Question 4
3 marks · Easy
Answer and see the solution →The graphs below represent the equations and .
Values for \(y = x^2\) and \(y = x + 4\) x y = x^2 y = x + 4 -3 9 1 -2 4 2 -1 1 3 0 0 4 1 1 5 2 4 6 3 9 7 (a)[2 marks]From the table, write down the two values of where the graphs intersect.
(b)[1 mark]Give the corresponding value of at either point of intersection.
Question 5
1 mark · Easy
Answer and see the solution →State how you can check that your solutions to a pair of simultaneous equations are correct.
Question 6
2 marks · Easy
Answer and see the solution →Show, by using algebra, that the difference between two consecutive even numbers is always 2.
Question 7
2 marks · Normal
Answer and see the solution →Solve the simultaneous equations for :
Question 8
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 9
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 10
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.