Practice maths class test — Year 1: linear inequalities.
15 questions drawn at random from a bank of 25, on the block of the programme your teacher is finishing: every attempt is a different test. No penalty for wrong answers, so answer even if you are not sure. At the end you receive by email the correct answer to every question and your weak topics — with an account you see them straight away here on the page. The step-by-step solution unlocks with your first lesson.
A class test is the written test an Italian high-school class sits after each block of the programme; this practice version is multiple choice.
Test in ItalianThe questions of this simulator are in Italian, as in the real exam.
Programme covered by the test
- Equivalence principles and reversing the inequality sign
- Linear inequalities
- Intervals and how to show solutions
- Systems of inequalities
- Inequalities with fractions and the rule of signs
- Literal inequalities with a parameter
- Problems solved with an inequality
Two worked examples from the test
Risolvi la disequazione
Solution
- Porta il al secondo membro cambiandolo di segno: , cioè .
- Dividi entrambi i membri per , che è positivo: il verso resta lo stesso.
- Risultato: .
- Controllo rapido: con si ha , vero; con si ha , falso.
Risolvi la disequazione
Solution
- Il minimo comune denominatore è : moltiplicando tutto per (numero positivo, il verso non cambia) resta .
- Svolgi le parentesi: .
- Somma i termini simili: , quindi .
- Moltiplica per invertendo il verso: .
In the online practice test you will find 13 more questions like these; the correct answer to every question arrives by email.
Prefer paper? Download the test as a PDF (15 questions, 4 pages · 83 KB, ready to print). You receive the solutions by email after taking it online.
Download the PDFWhat a maths test on linear inequalities looks like
Linear inequalities, a system of inequalities, at least one with fractions using a sign table, and the solutions shown on intervals. It often ends with a literal inequality or a problem turned into an inequality.
The mistake that costs the grade
Not reversing the sign when dividing or multiplying by a negative number. With fractions, the twin mistake is multiplying by the denominator to get rid of it: the sign of the denominator is unknown, so the direction is no longer guaranteed and the answer comes out reversed.
How to use this practice test
Take it once cold, without revising and with the timer on: it is there to show you where you stand, not to look good. Then look at your weak topics, revise only those — usually two or three, not the whole chapter — and retake it after a few days. The 15 questions are drawn from a bank of 25, so the second attempt is not the same test and the scores are genuinely comparable.
Is the score not enough?
See which topics lost you the most marks, then read the guide to the first maths test in Year 1 — or we look at your results together: the diagnostic is free.