Year 7 Numeracy: Linear_equations

10 practice questions on linear_equations for Year 7 students, aligned to the Australian Curriculum V9 NAPLAN assessment framework.

Sample Year 7 Numeracy — Linear_equations Questions

Question 1Easylinear_equations

Mia thinks of a number. She multiplies it by 5 and then subtracts 3. The result is 22. What was Mia's number?

Question 2Hardlinear_equations

A number is tripled and then 7 is subtracted. The result equals twice the original number plus 4. What is the number?

Question 3Easylinear_equations

Which value of n makes this equation true? 4 × n − 7 = 21

Question 4Hardlinear_equations

Two lines are graphed on a coordinate plane: y = 2x + 1 and y = −x + 7. At what point do they intersect?

Question 5Mediumlinear_equations

A number is doubled and then 9 is added. The result is 35. What is the original number?

Question 6Hardlinear_equations

A rectangle has a perimeter of 54 cm. Its length is 3 cm more than twice its width. What is the width of the rectangle?

Question 7Easylinear_equations

A parking station charges using this rule: Cost = $3 + $2 × hours parked How much does it cost to park for 5 hours?

Question 8Mediumlinear_equations

A bus has 18 more seated passengers than standing. Total passengers = 74. How many are standing?

These are samples from our bank of 10+ questions. Sign up for a free practice test to experience the full test format with AI feedback.

Content reviewed by the BandBoost Education Team

All questions are aligned to the Australian Curriculum Version 9.0 (ACARA) and mapped to the NAPLAN Assessment Framework.

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