Pre-Secondary One Hong Kong Attainment Test · Mathematics

Expanding brackets and combining like terms: Practice Questions

5 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on Expanding brackets and combining like terms.

9 questions24 marksFree, no account

Question 1

1 mark

Simplify the following expression by expanding brackets and combining like terms:
\(4(2x - 3y) - 3(x + 2y)\)

Question 2

1 mark

Simplify the following expression by expanding the brackets and combining like terms:
\(5a - 2[3(a - 2b) - (4b - a)]\)

Question 3

1 mark

Simplify the following expression:
\(\frac{1}{2}(4a - 8b) - \frac{2}{3}(6b - 9a) + a\)

Question 4

1 mark

Simplify the algebraic expression:
\(3(x + 2) + 4(2x - 1)\)

Question 5

1 mark

Simplify the expression: \(5a - [2b + 3(a - 2b) - 4a]\).

Question 6

2 marks

Expand and simplify the following algebraic expression:
\( 5(2a + 3b) - 4a \)

Write your answer out first, then check it against the worked solution.

Question 7

4 marks

Expand the expression and combine the like terms:
\( 3(4x - 2y + 1) - 2(x + 5y - 4) \)

Write your answer out first, then check it against the worked solution.

Question 8

6 marks

Consider the algebraic expression \(S = 4(3a - 2b + 5) - 3(2a + 4b - 1)\).
(a) Expand and simplify the expression \(S\).
(b) If \(a = 5\) and the value of \(S\) is \(37\), find the value of \(b\).

Write your answer out first, then check it against the worked solution.

Question 9

7 marks

Consider the expression \( E = 5x(2x - 3y + 4) - 2(3x^2 - 4xy - 7x + 2) \).

(a) Expand and simplify the expression \( E \) by combining like terms.
(b) If \( x = -2 \) and \( y = 3 \), find the numerical value of the simplified expression obtained in part (a).
(c) A student claims that for any value of \( y \), if \( x = 1 \), the value of the expression is always 10. Determine whether the student is correct and show your working.

Write your answer out first, then check it against the worked solution.

* The content provided by thinka is generated by AI and may not always be accurate or up-to-date. Please use it as a supplementary resource and verify with official materials.

You've seen the model answer. Now get yours marked.

This page can show you how a good answer looks. It cannot tell you what your answer was missing. thinka marks your written work against the real mark scheme in about 15 seconds.

Get My Answers Marked Back to the notes

Want more questions like these? Get a fresh set on this topic, marked as you go.

Practise More