Variables and Expressions Chapter 1-1 (pp 6-11)
D
Describe What you’ll learn in section 1­1:_________________________________________________
Why it’s important:___________________________________________________________
V
Define the following words:
Variables___________________________________________________________________
___________________________________________________________________________
Constant ___________________________________________________________________
Algebraic expressions: ________________________________________________________
___________________________________________________________________________
Algebraic Equation _____________________________________________________________________
Factors:______________________________________________________________________
_____________________________________________________________________________
Product:______________________________________________________________________
_____________________________________________________________________________
Mathematical Operations ________________________________________________________
5 Ways to write multiplication: x
*
( )
4x
What are the special names for the “answer” to each mathematical operation?
Addition Multiplication SUM
PRODUCT
Subtraction DIFFERENCE
QUOTIENT
Division Class Notes Chapter 1, Section 1
Variables & Expressions
(Translating English to Algebra)
Addition ( + )
Subtraction ( ­ )
___________, increased by, more than, and
___________, decreased by, less than, minus, Multiplication ( * ) ___________, times, double, triple, etc.
Division ( / )
___________, divided by, over Parentheses ( ) quantity, the use of commas, sum, product, difference, quotient
Translate the following into algebraic expressions: (be careful to remember which ones require parentheses)
10 less than a number squared
(**NOT 10 ­ x2 )
Translating Phrases into Algebraic Expressions and Translating Algebraic Expressions into English
Keywords: Sum, Product, Quotient, Difference, Quantity, (commas)
­
Each of these words require parentheses.
­
If you do not use parentheses when these words occur you end up not using the proper order of operations
Commas are used to separate phrases; which mean they are also used to separate math ­
operations
Copy Problem 2 p5 here Instruction:
a.
b.
Copy Problem 4 p 5 Instruction:
a.
b.
(Translating English to Algebra)
Examples:
Three times a number increased by 5
Three times the sum of a number and 5
3n + 5
3 (n + 5)
…So if you are multiplying by a sum or a difference you need to use parentheses ( ) around the addition or subtraction
Twice the difference of a number and 2
2 (n ­ 2)
The difference of twice a number and 2
2n ­ 2 chapter 1 section 2
V
Define the following words:
Power________________________________________________________
_____________________________________________________________
Example of a power:
Base_________________________________________________________
_____________________________________________________________
Examples of a base (one variable and one numerical):
Exponent______________________________________________________
_____________________________________________________________
Examples of exponents (one variable and one numerical): Class Notes
Powers & Exponents
Write the following expressions with exponent:
= __________ ; 2 used as a factor 3 times
=_______; x used as a factor 5 times
=___________
V
Define the following:
Coefficient____________________________________________
_____________________________________________________
Examples of coefficients:
Evaluate______________________________________________
_____________________________________________________
Example of evaluating an expression:
go to mental math program and go to settings and sign yourself in.
Take the Quiz
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