Free Year 7 One-variable linear equations Practice | Skillo
Skillo provides free Year 7 NAPLAN One-variable linear equations practice (AC9M7A03) for Australian students. No signup, no email, no credit card. Practice questions aligned with the ACARA Australian Curriculum v9.0 strand. Open and start in 10 seconds.
Year 7 students facing their third NAPLAN need to be confident with one-variable linear equations. Solve one-variable linear equations with natural number solutions; verify the solution by substitution. Skillo has targeted practice questions for this exact skill, mapped to the Australian Curriculum v9.0, free and ready to go.
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What does the Year 7 NAPLAN One-variable linear equations test cover?
- Solve one-variable linear equations with natural number solutions; verify the solution by substitution.
- Questions may include word problems set in real Australian contexts
- Both calculator and non-calculator question types are covered
Try a sample One-variable linear equations question
Question 1 — Easy
Luca is saving to buy a drone. He has $320 and saves an additional $55 per week. The drone costs $760. After how many complete weeks of saving will Luca be able to buy the drone?
Answer: Amount still needed = $760 − $320 = $440. Weeks needed = $440 ÷ $55 = 8 weeks exactly. After 8 complete weeks, Luca has exactly $760.
Question 2 — Medium
Priya is arranging tables for a school event. She notices a growing pattern: 1 table seats 6 people, 2 tables joined end-to-end seat 10 people, and 3 tables joined end-to-end seat 14 people. She records this as a table of values and plots the relationship on a Cartesian plane with the number of tables (n) on the horizontal axis and the number of people seated (p) on the vertical axis. Which algebraic rule correctly describes this linear relationship?
Answer: Each time a table is added, 4 extra people can be seated (the difference between consecutive values is 4), so the coefficient of n is 4. When n = 1, p = 6, so 4(1) + b = 6 gives b = 2, confirming the rule p = 4n + 2. Option A (p = 6n) incorrectly multiplies the first value by n. Option C (p = n + 4) gives only p = 5 when n = 1, which is wrong. Option D (p = 5n + 1) gives p = 6 for n = 1 but p = 11 for n = 2, not 10.
Question 3 — Hard
Kofi is arranging chairs for a school assembly. He places the same number of chairs in each row. After setting up 6 rows, he notices that if he adds 4 more chairs to his total, he will have exactly 52 chairs. The equation representing this situation is 6c + 4 = 52, where c is the number of chairs in each row. Find the value of c.
Answer: Subtracting 4 from both sides gives 6c = 48, then dividing both sides by 6 gives c = 8. Verifying: 6(8) + 4 = 48 + 4 = 52, which is correct. Option A gives 6(9) + 4 = 58, not 52; Option C gives 6(7) + 4 = 46, not 52; Option D results from dividing 48 by 1 or confusing 6c = 48 with c = 48.
How should my child prepare for Year 7 NAPLAN One-variable linear equations?
- Select Year 7 and Numeracy on the home screen
- Use Quick Practice — questions on one-variable linear equations will appear as part of the session
- Check the Skill Breakdown on your profile to track your accuracy on one-variable linear equations specifically
- Review explanations after each question to understand the reasoning behind correct answers
Skillo is free, requires no email or account details, and is built specifically for Australian students. Every question is mapped to the Australian Curriculum v9.0 and filtered by skill so your child practises exactly what they need.
Common questions about NAPLAN One-variable linear equations
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About this practice
Skillo's NAPLAN-style practice is authored independently. NAPLAN® is a registered trademark of ACARA. Skillo is not affiliated with, endorsed by, or sponsored by ACARA.