Secondary 2 Mathematics
Test 1
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Date:_________________
L201 – Test: Algebra (30 marks)
Q1 Simplify 5𝑎2 − 7𝑎 + 3𝑎2 − 13 + 2
[1]
Q2 Simplify (5𝑥 2 + 3) − 4(2 − 𝑥 2 )
[2]
Q3 Expand (7𝑦 − 5)(3 + 𝑦)
[2]
Q4 Expand and simplify 2𝑥(𝑥 + 7) − 3(5 − 2𝑥)(𝑥 − 3)
[2]
Q5 Solve the inequality −5𝑎 − 16 < −𝑎 + 6
[2]
Q6 Solve the following equations to find the value of 𝑥:
3
4
(a) 𝑥 + 11 = −3 − 𝑥
(b)
𝑥−2
3
=
[2]
2𝑥+3
4
[2]
Q7 Factorise the following expressions:
(a) 18𝑎𝑥 + 6𝑎3
(b) 𝑛2 − 7𝑛 − 18
(c) 49𝑐 2 − 9𝑑2
[2]
[2]
[2]
Q8 A rectangle has a perimeter of (6𝑎 + 5)𝑐𝑚 and one of its sides is (3𝑎 − 7)𝑐𝑚. Find the area of the rectangle,
leaving your answer in terms of 𝑎.
[3]
Q9 Solve the simultaneous equations:
5𝑥 − 2𝑦 = 8
[3]
1
3𝑥 + 𝑦 = −9 2
(3𝑎 − 7)𝑐𝑚
Q10 Triangle ABC is an isosceles triangle with AB = BC.
B
∠𝐴𝐵𝐶 = (2𝑥 + 40)°, ∠𝐵𝐴𝐶 = (3𝑥 − 2)°, and ∠𝐵𝐶𝐴 = (5𝑦 + 17)°.
(2𝑥 + 40)°
(a) Write down two equations, in terms of 𝑥 and 𝑦,
to represent this information. [2]
(b) Solve the simultaneous equations to find the values of 𝑥 and 𝑦. [3]
(3𝑥 − 2)°
(5𝑦 + 17)°
A
C
V2021.01.11
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