Lesson2 - MA 15200 Lesson 2 Section P.1(part 2 I More on...

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MA 15200 Lesson 2 Section P.1 (part 2)
I More on Evaluating Algebraic Expressions
Reminder: The Order of Operations Agreement
1. Perform operations within the innermost grouping and work outwards. If
the expression involves a fraction, treat the numerator and denominator as if
they were each a group. Grouping can include parentheses, brackets, a root,
or absolute value bars.
2. Evaluate all exponential expressions.
3. Perform multiplication and/or division as they occur, working from left to
right.
4. Perform addition and/or subtraction as they occur, working from left to
right.
Ex 1: Evaluate:
2
3 3
12 2 3
4 ( 3) 1
⋅ -
 
- - +
 
Ex 2: Evaluate: 2 3 3 80 2 3 12 - ÷ ⋅ -
Ex 3: Evaluate:
2
2
2
(3 4) 3 12
8 3 2 11
  - - -
 
- ⋅ +
 
II Simplifying Algebraic Expressions
The terms of an algebraic expression are those parts separated by addition (or
subtraction). The numerical part of the term is called its coefficient. The parts of each
term that are multiplied are called the
factors
of the term.