Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 3
18 practice questions
Practice questions
1–3 of 3 · Hard
Question 1
4 marks · Hard
Answer and see the solution →A rectangular flower bed has a width that is 5 m less than its length. The area is 84 m².
Let the length of the bed be m. Form a quadratic equation for and solve it to find the dimensions of the flower bed.
Question 2
3 marks · Hard
Answer and see the solution →Write down an algebraic identity involving squares that is always true for any value of , and show why it is always true by expanding or simplifying it.
Question 3
4 marks · Hard
Answer and see the solution →Solve the following system of simultaneous equations using algebraic methods (substitution or elimination):