ADVANCE MATH FOR EE
PRELIMS LECTURE 1
DISCRIMINANT
The discriminant will
determine the nature
of the roots of the
quadratic equation.
AGE PROBLEM
• One of the most common problem in algebra, this type of problems
must be solved meticulously by giving emphasis to the tenses (past,
present and future) of the statement.
6 years ago
X-6
Present
x
6 year hence
X+6
AGE PROBLEM – SAMPLE 1
• Paula is now 18 years old, and his colleague Monica is 14 years old.
How many years ago was Paula twice as old as Monica?
Paula
Monica
(18 – x) = 2(14 – x)
18 – x = 28 – 2x
2x – x = 28 – 18
X = 10
Past
(18 – x)
(14 – x)
Present
18
14
AGE PROBLEM – SAMPLE 2
• Debbie is now twice as old as Jerry. Four years ago, Debbie was three
times as old as Jerry then. How old is Debbie?
Debbie
Jerry
2x – 3(x – 4) = x – (x – 4)
2x – 3x + 12 = x – x + 4
-x + 12 = 4
12 – 4 = x
8=x
Past
3(x – 4)
(X – 4)
Present
2x
x
2x = 2 (8) = 16
Debbie is now 16 years old
MIXTURE PROBLEMS
• The easiest way to solve a mixture problem is to draw a rectangle or
square which will illustrate the content of the mixture as shown in the
following illustration.
Consider a 5 cubic meter mixture containing 65% alcohol and 35 %
gasoline
65% Alcohol
35% Gasoline
THE
ENTIRE
MIXTU
RE
The quantity of alcohol:
(65%)(5) = 3.25 cubic meters
The quantity of gasoline:
(35%)(5) = 1.75 cubic meters
ANY QUESTIONS?
THANK YOU & KEEP SAFE