Algebraic notation and simplifying expressions – Year 7 maths test to download as PDF

(a) Write \(5\times a\times a\times b\) in algebraic notation. (1 mark)
(b) Simplify \(7x+3y-2x+y\). (2 marks)
(c) Simplify \(12ab\div4a\). (1 mark)

(a) Write an expression for the total cost of 4 notebooks at £n each and 3 pens at £p each. (1 mark)
(b) Simplify \(2(x+3)+3(x-1)\). (2 marks)
(c) Work out the value of \(3x^{2}\) when \(x=-2\). (1 mark)

(a) Simplify \(4a+5b-a+2b\). (2 marks)
(b) Work out the value of your answer to part (a) when a = 3 and b = -1. (2 marks)

At the school fair, a pupil sells cups of lemonade for £c each and slices of cake for £d each. In the morning she sells 12 cups and 8 slices. In the afternoon she sells 15 cups and 10 slices.

1. Write an expression for the money from the morning. (1 mark)
2. Write a simplified expression for the total money in the whole day. (2 marks)
3. A cup of lemonade costs 50p and a slice of cake costs £1.20. Work out the total takings for the day. (1 mark)

A rectangular garden has length (3x + 2) metres and width (x + 1) metres.

1. Write and simplify an expression for the perimeter. (2 marks)
2. The perimeter is 36 m. Form an equation and find the value of x. (2 marks)