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Free Year 8 Algebra & linear equations Quiz — 10 Questions, Instant Results

10 questions on algebra and linear equations, pitched at Year 8, marked instantly with an explanation for every item. The set is chosen from 13 curriculum-aligned questions on this topic, one slice of the 3,261 free practice questions on this site, and you can get a fresh set with one click.

Start the quiz ↓   Or take the free 15-minute Skills Check →

✅ Victorian Curriculum aligned⚡ Instant marking + explanations📚 3,261 free practice questions

Free practice quizzesYear 8 Maths quiz › Algebra & linear equations

What Year 8 students need to know about algebra and linear equations

A short orientation first. Year 8 algebra extends to expanding brackets with negative factors, factorising by taking out a common factor, simplifying algebraic fractions, solving linear equations with pronumerals on both sides and brackets, and plotting straight lines from a table of values.

Our tutors wrote and checked these questions against the Victorian Curriculum, which is why the wording and the difficulty match what a Year 8 student meets at school.

The usual algebra and linear equations errors at Year 8

If your child gets a question wrong here, it is worth checking whether one of these is behind it. They are the algebra and linear equations misconceptions RHZ tutors correct most often with Year 8 students:

Each of these is fixable in a session or two once it has been named, which is why the results panel below shows the correct answer and an explanation rather than just a score.

How to practise algebra and linear equations at home

Practice works when it is short, regular and specific. For algebra and linear equations, our tutors suggest:

  1. Plot lines from a table and describe how m and c change the graph.
  2. Expand with a grid and check by substituting a value.
  3. Solve equations with variables on both sides daily until the moves are automatic.

For Years 7 to 10, practise the way a test is sat: mixed questions, time limits, full working. Then mark it honestly and re-do the errors.

How this algebra and linear equations quiz works

We keep 13 algebra and linear equations questions for Year 8 that meet our standard, at the easy and at-level tiers, and this page serves 10 of them at a time. The default set is stable, so a teacher or parent can share the link; a fresh set is one click away. Marking happens on our server so the answer key cannot be read from the page.

Because every question here is on algebra and linear equations, a low score is a clear signal and a high score is genuinely reassuring for this topic. What it cannot tell you is whether the other Year 8 maths topics are equally secure, or how far above the year level the student can go; the free Skills Check covers both.

The quiz: 10 questions

Choose one answer for each question, then press Mark my answers. Set 14853 · New set of questions →

Question 1
Algebra & linear equations

Expand: 4(x + 2).

Question 2
Algebra & linear equations

A formula connects P and Q: P = 4Q − 5. A student says: 'If I increase Q by 3, then P will increase by 3 as well.' Is this student correct?

Question 3
Algebra & linear equations

Solve: 3(x − 2) = 12.

Question 4
Algebra & linear equations

Solve: 4x − 3 = 2x + 7.

Question 5
Algebra & linear equations

Which of the following equations has the SAME solution as 3(2x − 4) = 18? (Check by solving each.)

Question 6
Algebra & linear equations

If x = 3, find 5x − 1.

Question 7
Algebra & linear equations

Expand and simplify: 2(x + 3) + 4x.

Question 8
Algebra & linear equations

Simplify: 6x + 2x − 3x.

Question 9
Algebra & linear equations

The sum of three consecutive even integers is 78. What is the largest of the three integers?

Question 10
Algebra & linear equations

Solve: 3x + 5 = 20.

How to read a score out of 10

9 or 10 out of 10
The easy and at-level content is secure. The useful question now is how far above the year level the student can go, which a ten-item quiz cannot show. The free Skills Check adds stretch and challenge questions on every topic so you can see the ceiling as well as the floor.
7 or 8 out of 10
Solid, with one or two specific gaps. Look at which topic the incorrect answers came from (the results panel names the weakest topic) and spend a week on that topic before re-testing with a different seed.
5 or 6 out of 10
Some core ideas are shaky. The pattern matters more than the score: two misses in the same topic is a gap; misses scattered across topics usually means reading the question too fast. Either way, the Skills Check will tell you which.
4 or fewer out of 10
Foundations from an earlier year are probably missing, which is common and fixable. Try the quiz one year level down to confirm, then talk to a tutor about a short catch-up plan rather than more of the same practice.

What to do with the result

1. Want the full picture?

The free Skills Check takes about 15 minutes, covers every Year 8 topic including stretch and challenge questions, and sends a same-day topic-by-topic report. A tutor calls to walk you through it, no obligation.

Start the free Skills Check →

2. Printable practice with answers

Our Year 8 practice papers are full-length, curriculum-aligned and come with worked answers, so a student can practise on paper the way the real test is sat.

Browse practice papers →

3. Tutoring in Melbourne's west or online

Small groups from $25 an hour and 1:1 from $35 an hour at our Truganina centre, or online anywhere in Australia. Same tutors, same Skills Check, same progress notes either way.

See Maths tutoring → All tutoring →

Questions? Call 03 9509 3293 or book a free consultation. RHZ Tutoring, 17/47 Apex Drive, Truganina VIC 3029.

Frequently asked questions

Is this Year 8 algebra and linear equations quiz free?

Yes, completely: no sign-up, no email, no payment, and you can take it as many times as you like. It is one of 3,261 free practice questions RHZ Tutoring publishes across Prep to Year 12. Press New set of questions, or add ?seed= to the address, for a different selection from the same topic.

Why only 10 questions on one topic?

Because a single-topic set is the most precise free check available: if the score is low, the gap is in algebra and linear equations and nowhere else. There are 13 eligible questions on this topic in our Year 8 Maths bank, so several different sets are available before any repeat.

Where do the algebra and linear equations questions come from?

From RHZ Tutoring's own Year 8 Maths question bank, written to the Victorian Curriculum, checked by a tutor and passed through an automated quality gate. The same bank feeds our tutoring sessions and the free Skills Check. The questions on this page sit at the easy and at-level tiers.

What should I do if the score is low?

Read the explanation for each incorrect answer first; most gaps in algebra and linear equations are one of the misconceptions listed on this page. Then try a second set a few days later. If it is still low, the free Skills Check will show whether the gap is confined to this topic, and a tutor can build a short catch-up plan.

Is there a mixed Year 8 Maths quiz?

Yes. The Year 8 Maths quiz spreads ten questions across every topic for the year, and the hub lists topic quizzes for every year level from Prep to Year 12.

Other Maths topics for Year 8

Mixed Year 8 Maths quiz (all topics) →

All 3,261 free practice questions, Prep to Year 12 →