Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 7
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Solve the quadratic equation by factorisation.
Question 2
3 marks · Normal
Answer and see the solution →A rectangular garden has a length that is 2 m greater than its width. The area of the garden is 48 m^2.
(a)[1 mark]Form a quadratic equation for the width of the garden, .
(b)[2 marks]Solve the equation to find the width of the garden.
Question 3
3 marks · Normal
Answer and see the solution →Solve the inequality .
Write your answer using inequalities.
Question 4
4 marks · Normal
Answer and see the solution →A number is chosen. The sum of the square of the number and 6 times the number is 40.
(a)[1 mark]Let the number be . Write a quadratic equation for this problem.
(b)[2 marks]Solve the equation to find the value(s) of .
(c)[1 mark]State the value(s) of that solve the original problem.
Question 5
4 marks · Normal
Answer and see the solution →Consider the quadratic equation , where is a constant.
Complete the following table by factorising the equation for each given value of , and listing the roots.
k Factorised form Roots 5 -7 Question 6
3 marks · Normal
Answer and see the solution →Solve the inequality .
Question 7
3 marks · Normal
Answer and see the solution →A rectangular field has a perimeter of 38 m. The length is 4 m less than twice the width. Form a quadratic equation for the width, , and solve the equation to find the width. Show your reasoning.
Question 8
2 marks · Normal
Answer and see the solution →A rectangular garden has an area of 96 m². The length of the garden is 4 metres longer than its width. Find the width of the garden.