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.

Practise basic algebra and algebraic manipulation free

What this topic covers

Worked examples

Example 1

If x=−5x = -5 and y=6y = 6, evaluate 2y3x\frac{2y}{3x}.
Show the worked solution
  • $\frac{2y}{3x} = \frac{2(6)}{3(-5)}$
  • $= \frac{12}{-15}$
  • $= -\frac{4}{5}$

Answer: −4/5-4/5

Example 2

Simplify 5x+3−2x5x + 3 - 2x.
Show the worked solution
  • Group like terms: $(5x - 2x) + 3$
  • $= 3x + 3$

Answer: 3x+33x+3

Example 3

Expand and simplify 4(3x+4)−2(5x+3)4(3x + 4) - 2(5x + 3).
Show the worked solution
  • $= 12x + 16 - 10x - 6 \quad \scriptsize\textit{expand}$
  • $= (12 - 10)x + (16 - 6)$
  • $= 2x+10$

Answer: 2x+102x+10

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