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8/11/2019 Chapter 2-Algebra Week3 Student
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Prepared by Mr Goh YH
Algebra 1 Page 1
Chapter 2 : Algebra I
2.1.1 Writing Algebra Expression Discussions / Examples
At our level, algebra is to represent any unkownreal numbers (variables) using letters (a,b,c,...) andcaptured any relationship between the variables in
the form of an algebric formula or an algebricexpression.
1. A algebric formula is a well established
relationship that is true for all circumstances.
Example of a formula :
Area of triangle = ½ base x height
Using alegbra we can write ,
2. An algebric expression looks exactly the same
as a formula execpt that a formula is true in all
circumstances but an expression is only true in
the given question
Example of an expression :
Peters ‘s age is twice Marry’s age
Using alegbra we can write ,
Common English Algebric Expression
add a to b
OR
sum of a and b
OR
total of a and b
subtract c from d OR
d minus c
multiply e by f
OR
e times f
OR
product of e and f
divide g by h
OR
e times f
Common English Algebric Expression
x is twice of yor
y is half of x
x is thrice of yor
y is one third of x
x is n times of y
x is one quarter of y
More complicated
statement
Algebric Expression
add 3 to the product
of p and q
Find the total cost of
x apples and
y oranges if each
apple cost $4 and
each orange cost $5
Mr Tan weighs 5 x kg Algebric Expression
He is 8 kg lighter thanMr Lim.
What is Mr Limweight ?
Mr Lim is 12 kg
heavier thanMr Tan’s wife
What is Mr Tan’s wife
weight ?
Mr Tan is twice asheavy as his daughterand five times asheavy as his son.
What is the
total weight ofhis daughter and son ?
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Example 1 :
(g) the product of two-third of x andone-fifth of y
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2.1.3 Simplifying Simple Algebric Fractions : T.I.Y
(a)
(b)
(c)
(a)
(b)
(c)
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2.1.4 Evaluation of Algebric expression T.I.Y
Given that .
Evaluate the followings :
(a)
(b)
(c)
Find the values of y in each of the followings :
(a)
Given
(b)
Given
(c)
Given
2.1.5 Evaluation of Algebric Formula T.I.Y
Given the formula
Find S when , and
Try These :
1. Given the formula
.
Find S when
2.
Given the formula .
Find v when , , s
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Example 3 :
Given that the area of a triangle is 100 cm2 whose height is twice its base, what is the
dimension of the triangle.
Homework :
O Level Elementary Mathematics Companion Book 1 :
Page 93, 95, 96 :Questions : 1, 2, 3,18, 19, 20
Page 105Questions : 1(m), 1(p),1(r)