Download Unit 4 Algebra Note Packet

Order of Operations – Pg. 349
Please Excuse My Dear Aunt Sally
The steps of the Order of Operations are:
1
2
3
4
Examples:
5 + (3-2) x 4 =
(6 + 3 x 4) ÷ 3 =
A caterer charges a setup fee of $50, plus $20 per person. How much will the
caterer charge if 35 people attend the party, and the customer has a coupon for
$100 off the total?
Expressions
A ________________________ is a letter used to represent a number.
An __________________________________ is a combination of variables, numbers, and an
operation.
Expressions describe a situation. For example:
Lily went to the fair and earned 7 more prize tickets than Steve.
You can use an expression to represent the number of tickets Lily has:
Examples:
Some number plus twelve
Some number taken away from ten
Add 8 and 7 then add 2
Double 5 then add 26
_________________________ an expression means to solve it. If there is a variable, you must
know the value of the variable.
Example: 2x + 5 where x = 3
Practice Problems: EVALUATE each expression where x = 10
x÷2
3x
4(x -3)
(x + 10) ÷ 2
Patterns: Page 413-414 (Volume 2)
Types of patterns:
______________________
______________________
______________________
1.
How many sides does each figure have?
_____
2.
What are the repeating terms?
___________
3.
What is the next term?
______________
0.1; 0.5; 0.1; 0.1; 0.5; 0.1; 0.1; 0.5; 0.1
4. How many terms repeat in the pattern? _________
5. What is the next term in the pattern? ________
Rules of a Pattern with Operations
The ______________ to the pattern tells you how to continue a pattern using the
____________ of the pattern. There can be more than one rule to a pattern.
Example 1: Finding the rule to a pattern
3, 7, 11, 15, 19, ____, _____, _____
Look at the numbers in the pattern. Do they increase or decrease? ____________________
By how much? _______
Which operation is used to find the next term in the pattern? _____________
So, the RULE to the PATTERN is to start with __________ and _________________ to each
term.
Example 2:
1, 3, 9, 27, ____
Increase or decrease? ____________
Which operation? _____________
Write the rule to the pattern (use the format above): _________________________________
____________________________________________________________________________
Relationships of Patterns with Two Different Rules
Create a pattern with 5 terms for each rule below:
Pattern 1 Rule: Start with 0 and add 3 to each term.
______, _______, _______, _______, _______
Pattern 2 Rule: Start with 0 and add 6 to each term
______, _______, _______, _______, _______
Put the terms in a table to easily compare them:
Term 1
Term 2
Term 3
Term 4
Term 5
Pattern 1
Pattern 2
Observations: Each term in the second pattern is _____________ the amount of the CORRESPONDING term in
the second pattern.
Reasoning: ________________________________________________________________________________
__________________________________________________________________________________________