Class Test 2
AAQS023-4-2-NM
Page 1 of 2
SECTION A (20 MARKS)
ANSWER ALL QUESTIONS
QUESTION 1 (4 Marks)
Find the equation of the line that passes through the points (2, 10) and (-2, -6).
QUESTION 2 (4 Marks)
Find the value of q for which the equation qx 2 + 3x + 3 = 0 has one real root.
QUESTION 3 (4 Marks)
Solve 3x 2 + 2 x + 9 = 0 using the quadratic formula.
QUESTION 4 (4 Marks)
3
 4 x5 y 
Simplify 
.
4 
 16 xy 
QUESTION 5 (4 Marks)
Given that loga 27 = 1.431, then find the value of loga 9 .
SECTION B (30 MARKS)
ANSWER ALL QUESTIONS
QUESTION 1 (10 Marks)
Solve the simultaneous equation
2 x − 25 y = 17
15 y − x = −6
QUESTION 2 (10 Marks)
(a)
Given y = 2 x 2 + x − 10 , find the turning point, x-intercepts, and y-intercept.
(b)
(6 marks)
Referring to informations obtained in part (a), sketch the graph of y = 2 x + x − 10 .
(4 marks)
2
QUESTION 3 (10 Marks)
Solve each of the following equations.
7 x = 10
(a)
(3 marks)
(b)
log 2 y =
9
log 2 y
(7 marks)
Diploma
Asia Pacific University of Technology & Innovation
YYYY
Class Test 2
AAQS023-4-2-NM
Page 2 of 2
Formulae
Quadratic equation
2
If ax + bx + c = 0, a  0
x=
2
If ax + bx + c = 0, a  0 has roots  and
,
− b  b 2 − 4ac
2a
 b b2

Turning point =  − ,− + c 
 2a 4a

b
a
 +  = − ,  =
c
a
Exponential and logarithm
am  an = am + n
am  an = am – n
(am)n = amn
(ab)n = anbn
1
a-n = n
a
m
a n = n a m = (n a ) m
a0 = 1
Diploma
loga (xy) = loga x + loga y
x
loga ( ) = loga x – loga y
y
log a x n = n log a x
loga a = 1
loga 1 = 0
log c b
log a b =
log c a
Asia Pacific University of Technology & Innovation
YYYY