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Basic Algebra and Algebraic Manipulation

Secondary 1 practice

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Basic Algebra and Algebraic Manipulation 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 Basic Algebra and Algebraic Manipulation study notes: the method, worked examples and the mistakes that cost marks. Free, no account.

What this topic covers

Worked examples

Example 1

If x=−4x = -4 and y=5y = 5, evaluate 3xy3xy.
Show the worked solution
  • 3xy=3(−4)(5)3xy = 3(-4)(5)
  • =−12(5)= -12(5)
  • =−60= -60

Answer: −60-60

Example 2

Simplify 7x+4y−5x−4y7x + 4y - 5x - 4y.
Show the worked solution
  • Group like terms: (7x−5x)+(4y−4y)(7x - 5x) + (4y - 4y)
  • =2x= 2x

Answer: 2x2x

Example 3

Expand and simplify 2(4x−5y)+2(4x+6y)2(4x - 5y) + 2(4x + 6y).
Show the worked solution
  • 2(4x−5y)+2(4x+6y)=8x−10y+8x+12yexpand2(4x - 5y) + 2(4x + 6y) = 8x - 10y + 8x + 12y \quad \scriptsize\textit{expand}
  • =(8+8)x+(−10+12)y= (8 + 8)x + (-10 + 12)y
  • =16x+2y= 16x+2y

Answer: 16x+2y16x+2y

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.

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