Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 2
18 practice questions
Practice questions
1–4 of 4 · Hard
Question 1
4 marks · Hard
Answer and see the solution →Consider the following expression:
Simplify the expression as much as possible, giving your answer in terms of a single fraction.
(a)[2 marks]Simplify and write your answer as a single fraction.
(b)[1 mark]Simplify and write your answer as a single fraction.
(c)[1 mark]Hence or otherwise, simplify the entire expression completely.
Question 2
5 marks · Hard
Answer and see the solution →The formula for the area of a parallelogram is , where is the base and is the height.
(a)[2 marks]Given , , express the area in terms of using index notation.
(b)[3 marks]If , solve for . Give all possible positive values for .
Question 3
3 marks · Hard
Answer and see the solution →Given the formula , rearrange this formula to make the subject. Show all steps clearly.
Question 4
5 marks · Hard
Answer and see the solution →Let , , and be positive numbers. Given that can be written as , find the values of , , and . Show all your working.
(a)[1 mark]Expand and simplify .
(b)[1 mark]Expand and simplify .
(c)[3 marks]Simplify the entire expression by dividing your answers to parts (a) and (b).