FACULTY OF SCIENCE
DEPARTMENT OF MARKETING
MODULE:
MATHEMATICS FOR MARKETERS A– CMS05A
CAMPUS:
APB
ASSESSMENT:
EXAM
DATE:
21 JUNE 2022
ASSESSORS:
MR. T CHIKORE
INTERNAL MODERATOR:
DR. L MATSEBULA
DURATION:
2 HOURS
INITIALS AND SURNAME:
________________________________________________________
STUDENT NUMBER:
________________________________________________________
CONTACT NUMBER:
________________________________________________________
75
NUMBER OF PAGES: 10 (INCLUDING COVER PAGE)
INSTRUCTIONS:
• ANSWER ALL THE QUESTIONS IN PEN.
• ALL GRAPHS MUST BE DRAWN IN PEN.
• NO PENCIL OR TIPEX ALLOWED.
• SHOW ALL THE NECESSARY CALCULATIONS CLEARLY.
• IF FORMULAS ARE USED THEY MUST BE STATED AS MARKS ARE GIVEN TO THEM.
• ONLY SCIENTIFIC CALCULATORS ARE ALLOWED.
• IF NECESSARY, ROUND OFF TO TWO DECIMAL PLACES.
• THE QUESTIONS CAN BE ANSWERED IN ANY ORDER.
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
-2-
Question 1
[14]
Answer each of the following multiple choice questions in the table provided.
Question
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.1
1.2
1.3
1.4
1.5
1.6
1.7
Answer
a.
a.
a.
a.
a.
a.
a.
b.
b.
b.
b.
b.
b.
b.
c.
c.
c.
c.
c.
c.
c.
d.
d.
d.
d.
d.
d.
d.
Question
1.8
1.9
1.10
1.11
1.12
1.13
1.14
𝑎𝑚 × 𝑎3𝑛 = ?
(a)
𝑎3𝑚𝑛
(b)
𝑎3𝑚+3𝑛
(c)
𝑎𝑚+3𝑛
(d)
None of the above.
The order for the given polynomial is? 7𝑥 2 − 4𝑥 5 + 3𝑥 − 9
(a)
7
(b)
5
(c)
−9
(d)
None of the above.
The given equation, 3𝑤 − 2 = 9 + 3𝑤, has no solution?
(a)
True.
(b)
False.
(c)
Solution is 0
(d)
None of the above.
(𝑎 + 𝑏)(𝑐 − 𝑑) can be simplified as?
(a)
𝑎𝑐 − 𝑏𝑑
(b)
𝑎𝑐𝑑 − 𝑏𝑐𝑑
(c)
𝑎𝑐 − 𝑎𝑑 + 𝑏𝑐 − 𝑏𝑑
(d)
None of the above.
If |𝑥| = 3, then 𝑥 = 3 𝑜𝑟 𝑥 =?
(a)
9
(b)
−3
(c)
0
(d)
None of the above.
3
Given the line, 𝑦 = − 𝑥 − 9, the gradient is?
5
(a)
(b)
−9
Undefined
(c)
−
(d)
None of the above.
3
5
9
Given the line, 𝑦 = −5𝑥 + , the gradient is?
2
(a)
(b)
(c)
(d)
5
9
2
0
None of the above.
Answer
a.
a.
a.
a.
a.
a.
a.
b.
b.
b.
b.
b.
b.
b.
c.
c.
c.
c.
c.
c.
c.
d.
d.
d.
d.
d.
d.
d.
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
-3-
1.8
Given the function: 𝑦 = 3𝑥+1 . Find the missing value from the table:
𝑥
−2
−1
1
?
1
𝑦
1
9
81
3
(a)
2
(b)
4
(c)
3
(d)
None of the above.
1.9
If 𝑦 =
1.10
3𝑥 2 −1
5𝑥−2
, determine the 𝑥 intercept.
(a)
(b)
0
0.5
(c)
−
(d)
None of the above.
1
2
2
Simplify the following ( √𝑎𝑛 )
(a)
𝑎𝑛
𝑚
2𝑛
(b)
𝑎𝑚
(c)
(d)
𝑎 𝑛
None of the above.
(
2𝑚
)
1
1.11
Simplify 1 × (𝑎 × ) × 𝑎1 . 𝑎0
1.12
(a)
𝑎
(b)
1
(c)
0
(d) None of the above.
(𝑎 + 𝑏) + 𝑐 = 𝑎𝑐 + 𝑏𝑑. Which of the following is correct for this statement?
(a)
True
(b)
False
(c)
Associative
(d)
None of the above.
1.13
Choose the correct symbol for: 9.1_______
1.14
(a)
(b)
(c)
(d)
Choose
(a)
(b)
(c)
(d)
𝑎
92
100
.
>
<
=
None of the above.
the correct symbol for: −5.5_______ − 5.56 .
>
<
=
None of the above.
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
-4-
Question 2
[3]
2.1
Represent the interval, 5 ≤ 𝑥 < 75, on a number line.
[2]
2.2
Represent the inequality, 𝑥 > 1, on a number line
[1]
Question 3
[14]
Simplify each of the following expressions completely:
3.1
4𝑥(3𝑥 − 1) + (4𝑥 + 1)(3𝑥 − 2)
[2]
3.2
(5𝑥 + 3)3
[2]
3.3
(4𝑥 2 × 𝑥 4 )2
[2]
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
-5-
3.4
𝑥 2 ×𝑥 −3 ×𝑦 4
3.5
𝑥 2 −𝑥−2
𝑥 2 −4
÷
𝑥+4
𝑥 2 +4𝑥
3.6
𝑥 2 +5
𝑥+1
+ 𝑥+2
𝑥+2
[2]
3
√𝑦 ×𝑥 4
[3]
𝑥
− 𝑥 2 +2𝑥
[3]
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
-6-
Question 4
[13]
Solve for x in the following equations:
4.1
5𝑥 2 − 45 = 0
[3]
4.2
5
−
𝑥+1
3 = 𝑥+1
[3]
4(𝑥 + 2) − 3 = 8𝑥
[1]
4.3
4.4
2
|3𝑥 − 5| = 9
[3]
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
-7-
4.5
6𝑥 2 + 9𝑥 = 10𝑥 + 5
Question 5
[3]
[6]
Factorise each of the following expressions:
5.1
2𝑥 2 + 𝑥 − 6
[2]
5.2
4𝑥 2 − 𝑦 2
[2]
5.3
𝑎3 𝑥 2 − 𝑎4 𝑥 3
[2]
Question 6
[4]
6.1
Determine the gradient of the straight-line that passes through the points: [2]
(4; 6) 𝑎𝑛𝑑 (10; 20)
6.2
Find the equation of the line that passes through (−1; −5) and is parallel to:
𝑦 = 4𝑥 − 9
[2]
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
-8-
Question 7
[11]
Given the function:
𝑓(𝑥) = −𝑥 2 + 𝑥 + 12
7.1
Determine 𝑓(1).
[1]
7.2
Determine the coordinates of the 𝑦-intercept.
[1]
7.3
Determine the coordinates of the 𝑥-intercept/s, if any.
7.4
Determine coordinates of the turning point.
7.5
Graph the function using the information obtained above. You must clearly label
all axes, the line of symmetry, intercepts and the turning point.
[3]
[3]
[2]
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
-9-
7.6
Determine the range and domain of f.
Question 8
[1]
[4]
Solve for x in the following inequalities and represent you answer on a number line:
8.1
5(𝑥 + 3) > 4𝑥 − 9
[2]
8.2
3𝑥 − 5 ≥ 7𝑥 + 10
[2]
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
- 10 -
Question 9
[6]
SureFire LLC produces flashlights. If the cost per unit is R750.00 and their fixed costs
are R10,000.00 then the total cost equation may be represented as:
𝐶(𝑥) = 200𝑥 + 12,000
9.1
SurFire LLC decides to sell each flashlights for R800.00 each. Find a function
describing their revenue as a function of quantity.
[2]
9.2
Determine the break-even point for SureFire LLC.
9.3
What must the selling price of their product be to make a profit of
R100,000.00 when selling 200 flashlights?
[2]
[2]
MATHEMATICS FOR MARKETERS A – CMS05A – EXAM – 202
- 11 -
ANNEXURE A
−𝑏 ± √𝑏 2 − 4𝑎𝑐
𝑥=
2𝑎
𝑚=
𝑎2 − 𝑏 2 = (𝑎 + 𝑏)(𝑎 − 𝑏)
𝑦 = 𝑚𝑥 + 𝑐
𝑦2 − 𝑦1
𝑥2 − 𝑥1
End of Assessment – Total 75 Marks
Use this space if you want to redo a question. Clearly indicate at the
question that the answer is on Page 11.