Function and Linear
Expression
Siti Yiyin Layyinah
Learning Objectives
- 7Ae1 Use letters to represent unknown number
s or variables; know the meanings of the words
term, expression and equation
- 7Ae2 Know that algebraic operations follow the
same order as arithmetic operations
- 7Ae3 Construct simple algebraic expressions b
y using letters to represent numbers
- 7Ae7 Construct and solve simple linear equatio
ns with integer coefficients (unknown on one si
de only), e.g. 2x = 8, 3x + 5 = 14, 9 – 2x = 7
- 7As3 Represent simple functions using words, symbols and mappings
- 7As4 Generate coordinate pairs that satisfy a linear equation,
where y is given explicitly in terms of x; plot the corresponding graphs;
recognise straight-line graphs parallel to the x- or y-axis
- 8As3 Express simple functions algebraically and represent them in mappings
Let us see
the video
https://www.youtube.com/watch?v=NybHckSEQBI
Let us analyze from the video
What the definitions of Algebra??
What is the different between Arithmetic and Algebra??
What is the goals of Algebra?
Algebraic Expression
Algebraic Expressions is the combination of constant and variables.
We use the operations like addition, subtraction etc to form an algebraic expression.
Variable does not have a fixed value. It can be varied. It is represented by letters like a, y, p m etc.
Constant has a fixed value. Any number without a variable is a constant.
Coefficient a numerical or constant quantity placed before and multiplying the variable in an algebraic
expression (e.g. 4 in 4x y).
A term is a single mathematical expression.
Terms
Collecting Like Terms
Let a = ball
a+a+a+a = 4a
Let b = kite
b+b+b = 3b
Let c = car
c+c =2c
Like terms
Linear Expressions
A linear equation is an equation that is written for two different variables.
Linear Expressions
A linear equation is an equation that is written for two different variables.
Constructing Linear Expressions
Exercise 2.4