Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 5
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
3 marks · Normal
Answer and see the solution →Expand and simplify the expression:
Question 2
4 marks · Normal
Answer and see the solution →Solve the quadratic equation:
Show all working.
Question 3
4 marks · Normal
Answer and see the solution →A rectangle has length and width .
Rectangle with a square cut out A square of side cm is cut out of it.
(a)[1 mark]Write, in simplest form, an expression for the area of the original rectangle.
(b)[1 mark]Write an expression for the shaded area after removing the square.
(c)[2 marks]If the shaded area is , find the value of .
Question 4
2 marks · Normal
Answer and see the solution →Factorise fully:
Question 5
2 marks · Normal
Answer and see the solution →Write down the solution set for the inequality .
Question 6
2 marks · Normal
Answer and see the solution →Rearrange the formula to make the subject:
Question 7
4 marks · Normal
Answer and see the solution →Solve the simultaneous equations:
(a)[2 marks]Substitute y into the second equation and simplify to a quadratic in x.
(b)[2 marks]Solve the quadratic equation to find the possible values of x.
Question 8
5 marks · Normal
Answer and see the solution →A rectangle has a length of (x+7) cm and a width of x cm. The area of the rectangle is 120 cm².
(a)[2 marks]Write an equation for the area in terms of x and expand the brackets.
(b)[1 mark]Rearrange your equation to the form ax² + bx + c = 0.
(c)[2 marks]Solve the equation for x.