Grade 8 Mathematics Practice Exam & Marking Guide

Allow about 20 minutes for this original practice set. Show your working before opening the answers. The suggested marks reward intermediate reasoning as well as the final answer. This five-question set is a focused practice activity, not a full school examination or an official KICD paper.

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A short algebra practice exam

Attempt all five questions without consulting the guide.
Show each balancing operation on a separate line.
Check the solutions, then repeat any question whose method was unclear.

Practice questions

Simplify 3x + 4x − 2. (1 mark)
Solve 2x + 5 = 17. (2 marks)
Solve 3y − 4 = 11. (2 marks)
Evaluate 2a + 3 when a = 4. (2 marks)
A rectangle has width x cm and length (x + 3) cm. Its perimeter is 22 cm. Find its dimensions. (3 marks)

Answers and explanations

7x − 2. Award 1 mark for combining the like terms correctly.
2x = 12 (1 mark); x = 6 (1 mark).
3y = 15 (1 mark); y = 5 (1 mark).
2 × 4 + 3 (1 mark); 11 (1 mark).
2x + 2(x + 3) = 22 (1 mark); 4x = 16, so x = 4 (1 mark); width 4 cm and length 7 cm (1 mark).