Warm up
1.
5 word prediction. Guess the
meanings of the following words:
EQ (GSE Unit 1)
Why
is it important to
understand the
“language” of
mathematics?
Definitions
IDENTIFYING PARTS
GUIDED NOTES
Algebraic Expression
 Can
have variables, numbers, addition,
subtraction, multiplication, division,
parenthesis, square roots, exponents…
 Examples:
x2
3  x  2
5b  7c  d
5 xy
Variable
 Symbols
or letters used to represent an
unknown
 Examples:
x



Term
 How
many items are being added,
subtracted, divided
 Examples:
2
5a  2 xy  3
3
P  2x
2
a b
4
Like Terms
 Same
variable raised to the same
power
 Examples:
2
2
5 x y and 8 x y
2
7y and 22y
2
Coefficient
 The
number in front of a variable
 Examples:
123 xy
3 2
123
9xy z
9
x
1
Exponent
 The
number up in the air next to a
base
 The number of times you multiply
something times itself
 Examples:
3
3
12
12
2
x
4
3y  7 4
Base
 What
the exponent sits on
 The part that has been raised to a
power
 Examples:
3
2
12
x
2
x
4
3y  7 y
Constant
A
number that has no variable
 It
can be positive or negative
 Examples:
42
-42
3x  5
2
5
4
5 x  3y  8
-8
Factors

Items that are being multiplied together

Can be numbers, variables, parenthesis

Examples:
6
1 and 6…. Or 2 and 3
9xy 9 and x and y
 x  2  y  3  (x + 2) and (y – 3)
3  z  9
3 and (z – 9)
Order of Operations
 Simplify
inside parenthesis
 Take care of exponents
 In order from left to right, multiplication or
division
 In order from left to right, addition or
subtraction
 Examples:
5  3  2  1  4
2
-18
Which is it?
6÷2 1+2 =?
1
9
Translations
ADDITION
Sum
Plus
Add
More
Than
Increased
Together
SUBTRACTION
Difference
Minus
Decreased
Less
Than (swaps the
order)
Take away
DIVISION
Quotient
Half
Divide
by
MULTIPLICATION
Product
Twice
Double
Triple
Times
EXPONENTS
Square
Cubed
To
the power of
Raised to a power
Translate
The sum of a number and 10
x + 10
Translate
The product of 9 and x
squared
2
9x
Translate
9 less than g to the fourth
power
4
g –
9
Translate
8 + 3x
Eight increased by
three times x
Translate and Solve
1. Five times a number increased by 5 is the
same as 3 times the same number
decreased by 7.
2. Four times a number plus 10 minus two
times the same number is 6.
Classwork
Writing an Expression Practice
Worksheet