Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 7
18 practice questions
Practice questions
1–10 of 18
Question 1
1 mark · Easy
Answer and see the solution →Solve the quadratic equation .
Question 2
2 marks · Easy
Answer and see the solution →A rectangle has a length that is 3 metres more than its width. Its area is 40 m². Find the width of the rectangle.
Question 3
2 marks · Easy
Answer and see the solution →The solutions to the quadratic inequality are required.
Write down the values of that satisfy the inequality.
Question 4
3 marks · Easy
Answer and see the solution →A rectangular swimming pool is 4 m longer than it is wide. Its area is 60 m².
(a)[1 mark]Let the width be metres. Write a quadratic equation to represent the area.
(b)[2 marks]Solve your equation to find the width of the swimming pool.
Question 5
3 marks · Easy
Answer and see the solution →The following table shows three different quadratic equations. For each equation, state the number of real solutions.
Table of quadratic equations Equation Number of real solutions x^2 - 9 = 0 x^2 + 2x + 5 = 0 x^2 - 4x + 4 = 0 Question 6
1 mark · Easy
Answer and see the solution →A ball is thrown and its height (in metres) t seconds after being thrown is given by .
At what time does the ball hit the ground again?
Question 7
2 marks · Easy
Answer and see the solution →Solve the inequality and write your answer as an inequality.
Question 8
2 marks · Normal
Answer and see the solution →Solve the quadratic equation by factorisation.
Question 9
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 10
3 marks · Normal
Answer and see the solution →Solve the inequality .
Write your answer using inequalities.