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MATH1011 Diagnostic Quizzes

Diagnostic Quiz 1: Some precalculus
Question 1 Questions
Evaluate the following expression: 1 2 1 3 + 1 4 2 5
a)
1 30
 b)
1 120
c)
1 60
 d)
1 60
e)
1 30

Choice (a) is incorrect
Choice (b) is incorrect
Choice (c) is correct!
Choice (d) is incorrect
Choice (e) is incorrect
Simplify the following expression: 5 + 1 5 1
a)
3 + 5 2
 b)
3 5 2
c)
5 3 2
 d)
6 + 5 2
e)
6 5 2

Choice (a) is correct!
Choice (b) is incorrect
Choice (c) is incorrect
Choice (d) is incorrect
Choice (e) is incorrect
The equation of the line passing through the points (1,2) and (2,7) in the xy-plane is
a)
y = 3x 1
 b)
y = 5x 3
c)
y = 3x + 1
 d)
y = 4x 1
e)
y = 4x 2

Choice (a) is incorrect
Choice (b) is correct!
Choice (c) is incorrect
Choice (d) is incorrect
Choice (e) is incorrect
The quadratic 2x2 + 7x 15 factorises as
a)
(2x + 3)(x 5)
 b)
(2x 5)(x + 3)
c)
(2x 5)(x 3)
 d)
(2x + 5)(x 3)
e)
(2x 3)(x + 5)

Choice (a) is incorrect
Choice (b) is incorrect
Choice (c) is incorrect
Choice (d) is incorrect
Choice (e) is correct!
Find the number of radians that are represented by the following angle: 300
a)
3π 2
 b)
2π 3
c)
5π 3
 d)
5π 6
e)
4π 3

Choice (a) is incorrect
Choice (b) is incorrect
Choice (c) is correct!
Choice (d) is incorrect
Choice (e) is incorrect
PIC Which of the following functions describes the above graph?
a)
y = (x 1)2 + 2
 b)
y = 2x(2 x)
c)
y = 2(x + 1)2 + 2
 d)
y = 2(x 1)2 + 2
e)
y = x(2 x)

Choice (a) is incorrect
Choice (b) is correct!
Choice (c) is incorrect
Choice (d) is incorrect
Choice (e) is incorrect
Find an equivalent expression to the following: e2xe5x2
a)
e7x2
 b)
e10x3
c)
ex(2+5x)
 d)
e2x + e5x2
e)
e10x(1+x)

Choice (a) is incorrect
Choice (b) is incorrect
Choice (c) is correct!
Choice (d) is incorrect
Choice (e) is incorrect
Find an equivalent expression to the following:ln ab3 c2
a)
lna + ln3b ln2c
 b)
lna + 3lnb 2lnc
c)
3lnab 2lnc
 d)
3lnab ln2c
e)
lna 3lnb + 2lnc

Choice (a) is incorrect
Choice (b) is correct!
Choice (c) is incorrect
Choice (d) is incorrect
Choice (e) is incorrect
Evaluate the following expression: tan(5π6)
a)
3
 b)
3
c)
1 3
 d)
1 3
e)
1

Choice (a) is incorrect
Choice (b) is incorrect
Choice (c) is correct!
Choice (d) is incorrect
Choice (e) is incorrect
Solve for x for the following equation: 1 x 1 + 1 x + 3 = 2
a)
x = 1 ±17 2
 b)
x = 1 ±17 2
c)
x = ±5
 d)
x = ±2
e)
x = 2

Choice (a) is incorrect
Choice (b) is correct!
Choice (c) is incorrect
Choice (d) is incorrect
Choice (e) is incorrect