Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 3
18 practice questions
Practice questions
1–10 of 18
Question 1
1 mark · Easy
Answer and see the solution →Write down an algebraic identity that uses the difference of two squares.
Question 2
2 marks · Easy
Answer and see the solution →Factorise completely: 8x^2 - 20x
Question 3
1 mark · Easy
Answer and check →Solve the equation: x + 11 = 17
Question 4
3 marks · Easy
Answer and see the solution →The sum of two numbers is 18.
(a)[1 mark]Let the numbers be x and y. Write an equation for their sum.
(b)[1 mark]If their difference is 4, write a second equation for x and y.
(c)[1 mark]Solve the equations to find the values of x and y.
Question 5
1 mark · Easy
Answer and see the solution →Expand the bracket: (x + 6)(x - 2)
Question 6
1 mark · Easy
Answer and check →If 2x = 14, what is the value of x?
Question 7
1 mark · Easy
Answer and see the solution →Factorise x^2 - 16.
Question 8
4 marks · Normal
Answer and see the solution →Expand and then fully factorise the following expression:
(a)[2 marks](b)[2 marks]Now, factorise completely:
Question 9
2 marks · Normal
Answer and see the solution →Write down an algebraic identity involving squares and simplify it to show it is always true.
Question 10
3 marks · Normal
Answer and see the solution →Solve the equation: