Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 3
18 practice questions
Practice questions
11–18 of 18
Question 11
2 marks · Normal
Answer and see the solution →Factorise completely:
Question 12
2 marks · Normal
Answer and see the solution →Expand the following expression:
Question 13
3 marks · Normal
Answer and see the solution →Solve the following linear equation. Give your answer in simplest form:
(a)[3 marks]Question 14
2 marks · Normal
Answer and see the solution →Show, by expanding , how the general quadratic is formed. Write the resulting expression.
Question 15
2 marks · Normal
Answer and see the solution →Complete the following table for :
(a)[2 marks]x y -1 0 1 2 Question 16
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 17
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 18
4 marks · Hard
Answer and see the solution →Solve the following system of simultaneous equations using algebraic methods (substitution or elimination):