Linear Equations practice questions

Secondary 1 topics, the foundation the O-Level Mathematics 4052 syllabus builds on. Every question below has a full worked solution.

When a student gets a question wrong in Math Amigo, it does not show the answer straight away. It reads the working, identifies the step that went wrong, and asks a question that points at the correction. The worked solution is there once a genuine attempt has been made.

Practise linear equations free

What this topic covers

Worked examples

Example 1

Solve 4n+7=314n + 7 = 31.
Show the worked solution
  • $4n + 7 = 31$
  • $4n = 31 - 7 \quad \scriptsize\textit{subtract 7 from both sides}$
  • $4n = 24$
  • $n = \frac{24}{4}$
  • $n = 6$

Answer: 66

Example 2

Solve n3−n4=−1\frac{n}{3} - \frac{n}{4} = -1.
Show the worked solution
  • $\frac{n}{3} - \frac{n}{4} = -1$
  • $\frac{4n}{12} - \frac{3n}{12} = -1 \quad \scriptsize\textit{LCM = 12}$
  • $\frac{n}{12} = -1$
  • $n = -12$

Answer: −12-12

Example 3

Jun Wei has some sweets to share with his friends. If he gives them 44 sweets each, he would have 1010 left. If he gives them 66 sweets each, he would be short of 1212 sweets. How many friends does Jun Wei have?
Show the worked solution
  • Let the number of friends be $x$. $\scriptsize\textit{define variable}$
  • Total sweets $= 4x + 10$ (from the first condition).
  • Total sweets $= 6x - 12$ (from the second condition).
  • $4x + 10 = 6x - 12 \quad \scriptsize\textit{equate}$
  • $10 + 12 = 6x - 4x$
  • $22 = 2x$
  • $x = \frac{22}{2}$
  • $x = 11$

Answer: 1111

Questions parents ask

Is it really free?

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Which syllabus does this follow?

O-Level Mathematics (4052), for Singapore secondary students. Math Amigo covers Secondary 1 to 4, both O-Level Mathematics and Additional Mathematics.

Will it just show my child the answer?

No. On a wrong answer it looks at the working, points to the step that went wrong, and asks a question that helps the student find the correction. The full worked solution is available after a genuine attempt.

Other Secondary 1 topics