READING ALGEBRAIC EXPRESSIONS VOCABULARY:�
Algebraic expression – algebraic notation�
x + 4x ⋅ 22 - ( 3 / x )
What is the difference between them? Any equations is a algebraic expression but in a algebraic notation there are 5 parts.
Algebraic expression – algebraic notation�
Algebraic notation includes five main components: variables, coefficients, operators, exponents, and parentheses. You can see all five of them in the expression below:
A Variable �
is a letter that is used to represent a number.
2 + x = 5
x + x + y = 20
While x is the most commonly used variable, any letter can be a variable. An algebra problem can have one variable or many.
Coefficients�
Sometimes you'll see a
variable with another
number in front of it, like
this:
Operators are the symbols
that tell us what to do in math
problems. You've seen them
all before:
2x
+ - ÷ x
Multiplication & Division��
2 x 6
2 ⋅ 6
xy
Here are the different ways we might see these operations!!
4 ÷ 2
4 / 2
Parentheses & Exponents
7 + (40 / x) = 15
Parentheses are used to group parts of an algebraic expression. When you see part of an algebra problem enclosed in parentheses, you'll need to solve that part before tackling the rest of the problem.
10[3rd]
For the exponents we use different vocabulary such as
10 to 3rd power
Or is its
10 2nd ( 10 to the 2nd power or 10 squared)
How do we know which one come first? Here’s a trick!�
PEMDAS
(Please Excuse My Dear Aunt Sally)
means parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first.
x + 4x ⋅ 22 - ( 3 / x )
Let’s give it a try!!!