Linear Functions and Graphs 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 functions and graphs free

What this topic covers

Worked examples

Example 1

Given y=18−3xy = 18 - 3x, find the value of xx when y=6y = 6.
Show the worked solution
  • $y = 18 - 3x$
  • $6 = 18 - 3x \quad \scriptsize\textit{substitute y = 6}$
  • $-3x = 6 - 18$
  • $-3x = -12$
  • $x = \frac{-12}{-3}$
  • $= 4$

Answer: 44

Example 2

Find the yy-intercept of the line 4y−8x=−44y - 8x = -4.
Show the worked solution
  • $4y - 8x = -4$
  • $4y = 8x - 4 \quad \scriptsize\textit{rearrange}$
  • $y = 2x - 1 \quad \scriptsize\textit{divide both sides by 4}$
  • Comparing with $y = mx + c$, $y$-intercept $c = -1$

Answer: −1-1

Example 3

The temperature in °C can be converted to °F using the formula F=1.8C+32F = 1.8C + 32. Find the temperature in °C when it is 158°F.
Show the worked solution
  • $F = 1.8C + 32$
  • $158 = 1.8C + 32 \quad \scriptsize\textit{substitute } F = 158$
  • $1.8C = 158 - 32$
  • $1.8C = 126$
  • $C = \frac{126}{1.8}$
  • $= 70\degree\text{C}$

Answer: 7070

Questions parents ask

Is it really free?

The free plan is permanent and does not ask for a card. It has daily limits on the AI feedback, and the paid plans lift them.

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