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ASSIGNMENT 01
Study material: Guides 1 and 2
Fixed closing date: 20 March 2020
Unique Assignment Number: 777544
Important:
This is a multiple choice assignment which may be answered on a MARK READING SHEET
and then posted to the university, or may be completed and submitted online using myUnisa.
Before answering the assignment please read the instructions in the Unisa brochure: my STUD-
IES @ Unisa 2012, especially the section on completing and submitting mark-reading sheets
and the section on submitting multiple-choice assignments via myUnisa.
Always keep your rough detailed working so that you can compare your solutions with those
that will be sent to you. Also keep a copy of your answers/options. You may need it later.
5 marks will be given for every correct answer.
In each of the following questions small letters of the alphabet (i.e. a; b; x; etc.) represent real
numbers.
Question 1
Which of the following is/are true?
2 b a
A. = 1:
a b 2
1 4x
B. If x = and y = 2 then x2 + y 2 = 2 34 :
2 y
p
1 x
C. p is de…ned for all x 2 R; x 6= 1:
x 1
1. Only A
2. Only B
3. Only C
4. Only A and B
5. A, B and C
13
,Question 2
Which of the following is / are true?
x y+z
A. =1
y x z
1
B. 3a b< ) 9a2 b2 < 1
3a + b
C. p2 pq + q 2 = (p q)2
1. Only A
2. Only B
3. Only C
4. Only A and B
5. None of them
Question 3
1 1 2
By using the method of completing the square 3 x x can be written as
2 4
1. 1
4
(x + 1)2 + 13
4
2. 1
4
(x + 1)2 11
4
3. 1
4
(x + 1)2 + 13
4
4. 1
4
(x + 1)2 13
4
5. 1
4
(x 1)2 + 13
4
Question 4
Which of the following is / are true?
A. In the polynomial 1 3x + 4x2 5x3 the coe¢ cient of x3 is 5:
p p
x+1 x2 1
B. The expression p can be expressed with a rational denominator as ; provided x
x 1 x 1
is a rational number.
C. If a 2 R; b 2 R; a 6= 0; b 6= 0 and a2 = b2 ; then a = b:
1. Only A
2. Only B
3. Only C
4. Only B and C
5. None of them
14
, Question 5
The solution of (2x 1) (x + 3) 9 is
3
1. x 4 or x 2
3
2. 4 x 2
3. x 5 or x 6
4. 5 x 6
5. x 5 or x 6
Question 6
The solution of
9
3 1 >
=8 >
>
x y =
2 3 >
>
+ = 2 >
;
x y
is
1 1
1. x = 2
and y = 2
2. x = 2 and y = 2
1 1
3. x = 2
and y = 2
4. x = 2 and y = 2
1 1
5. x = 2
and y = 2
Question 7
1
For what values of k will the equation 2x2 3x + kx = 2
have no real roots?
1. k < 1 or k > 5
2. 1 k 5
3. k 1 or k 5
4. 1 < k < 5
5. No values of k (i.e. the equation will have real roots for all k 2 R)
Question 8 p
The solution set of x 2x2 + x 5 = 1 is
1. ;
2. f 2g
3. f 2; 3g
4. f3g
5. R
15
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