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Linear Functions and Graphs

Secondary 1 practice

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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.

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Read the Linear Functions and Graphs study notes: the method, worked examples and the mistakes that cost marks. Free, no account.

What this topic covers

Worked examples

Example 1

Write down the coordinates of point PP.
xyP-7-6-5-4-3-2-11234567-7-6-5-4-3-2-11234567O
Show the worked solution
  • PP sits on the yy-axis, so the xx-coordinate is 00.
  • It is 5 units down from the xx-axis, so the yy-coordinate is −5-5.
  • P(0,−5)P(0, -5)

Answer: (0,−5)(0, -5)

Example 2

Given y=−6x+7y = -6x + 7, find the value of xx when y=−5y = -5.
Show the worked solution
  • y=−6x+7y = -6x + 7
  • −5=−6x+7substitute y = -5-5 = -6x + 7 \quad \scriptsize\textit{substitute y = -5}
  • −6x=−5−7-6x = -5 - 7
  • −6x=−12-6x = -12
  • x=126x = \frac{12}{6}
  • =2= 2

Answer: 22

Example 3

Find the gradient of the line y+x=6y + x = 6.
Show the worked solution
  • y+x=6y + x = 6
  • y=−x+6rearrangey = -x + 6 \quad \scriptsize\textit{rearrange}
  • Comparing with y=mx+cy = mx + c, gradient m=−1m = -1

Answer: −1-1

Questions parents ask

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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.

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