Exam (elaborations)
DSC1520 EXAM PACK 2023
- Institution
- University Of South Africa (Unisa)
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DSC1520EXAM
PACK 2023
QUESTIONS WITH ANSWERS
EMAIL: musyokah11@gmail.com
,DSC1520
EXAM
PACK 2023
LATEST
QUESTIONS
AND ANSWERS
For queries or any assignment help
Email: musyokah11@gmail.com
, Page 1 of 167
Study Unit 1 : Mathematical preliminaries
Chapter 1 : Sections 1.1 – 1.6
1. Basics
• Numbers: different type of numbers – Natural, Real, etc.
Also called constants
• Basic operations
o + (add); 2 + 3 = 5
o – (subtract); 3 – 2 = 1
za
ls S
o x (multiply); also •; 3 x 2 = 3•2 = 6
ria L
o.
to RIA
.c
o ÷ (division) also / or fraction ( 1 = 1 divide by 2);
2
rtu O
6
6 ÷ 3 = 6/3 = =2
.g T
3
w U
Remember:
w T
1 x anything = anything
w .R.
1x8=8
G
0 x anything = 0
0x4=0
1 + anything = one more than anything
1 + 345 = 346
0 + anything = anything
0 + 34 = 34
anything ÷ 0 = not allowed
12 ÷ 0 = not allowed
0 ÷ anything = 0
0÷7=0
, Page 2 of 167
• Brackets ( ) : group operations together
(3 + 4) – 3
=7–3
=4
• Order of operation: BODMAS
Brackets; Of; Divide; Multiply; Add; Subtract
40 – 4 x (5 + 8) + 20
= 40 – 4 x (13) + 20
= 40 – 52 + 20
za
ls S
=8
ria L
o.
to RIA
.c
• Variables: used for unknown or generalisation of things: place
rtu O
holder: use alphabetic characters for example X or A or Y. Can
.g T
take on different values
w U
w T
3x + 2y +7g + x
w .R.
G
3x is known as a term with coefficient 3 and variable x
Remember : the last term x has a coefficient value of 1 in front of
it namely 1x
o Operations on variables or unknown:
+ and – : only if same variable, then + or – coefficients and
variable stays the same
3x + 4x + 3 = (3 + 4)x + 3 = 7x + 3
5x – x – 6 = (5 – 1)x – 6 = 4x –6
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