Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 2
18 practice questions
Practice questions
11–18 of 18
Question 11
2 marks · Normal
Answer and see the solution →Evaluate .
Question 12
4 marks · Normal
Answer and see the solution →Given that is inversely proportional to .
(a)[2 marks]If when , write a formula for in terms of .
(b)[1 mark]Calculate the value of when .
(c)[1 mark]Find the value of when .
Question 13
4 marks · Normal
Answer and see the solution →Solve the equation for \( x \ ):
Question 14
4 marks · Normal
Answer and see the solution →The time (in seconds) for a task is inversely proportional to the number of people working.
(a)[2 marks]If 3 people can do the task in 20 seconds, write a formula for in terms of .
(b)[1 mark]How long does the task take with 5 people?
(c)[1 mark]How many people are needed to complete the task in 12 seconds?
Question 15
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 16
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 17
3 marks · Hard
Answer and see the solution →Given the formula , rearrange this formula to make the subject. Show all steps clearly.
Question 18
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).