1. Simplifying Expressions
Advanced Algebra – pp 6 - 12

2. Some vocabulary you should know!
Numerical Expression (
5, 2 × 3, 2 3 − 2 2
)
Algebraic Expression (
n, 2 y + 1, 2 x − 2 2
)
Equation 3 + 4 = 7, 5 x − 2 = 28
Inequality 3 < 7, 5 x − 2 ≥ 28
Variable we will use any letter of the alphabet except i and o
Grouping symbols ( ), [ ],

3. Some vocabulary you should know!
Exponential Expression
2 power or
base 3 exponent
Simplified Expression An expression that has all
like terms combined
Evaluating an Expression Replacing each variable in an algebraic
expression with a given value and
finding the value of the expression

4. Order of Operations
• First, clear grouping symbols starting with
the innermost and working outward.
• Simplify powers
• Multiply and/or divide from left to right
• Add and/or subtract from left to right
PEMDAS
pa
ex nthe
m nen s
di ly
ad e
su
vid
ul
po si
bt
re
d
tip ts
ra
ct

5. examples
Use <, =, or > to make the statement true.
3 × 7 ___ 12 + 7
>
Simplify:
27 ÷ 3 − 3 ⋅ 2 = 9 – 6 = 3
( 9 − 3) ÷ 4 − 1 = 36 ÷ 4 – 1 = 9 – 1 = 8
2
[
45 − 3 − 4 ( 2
)] = 4[5 – (9 – 4)]
= 4[5 – 5]
=4·0=0

6. examples
Evaluate the expression if x = 7, y = 6, and z = 3.
x+z x+ y 7+3 7+6 10 13
+ = + = +
y z 6 3 6 3
5 13 18
= + = =6
3 3 3
Evaluate the expression if x = 6, y = -3.
x + 4 y = 6 + 4 - 3 = 36 + 4( 3) = 36 + 12 = 48
2 2

7. • Some orals for practice:
– p 10: 3, 11, 15, 20, 23
• Assignment: p 10 W: 3 – 48 every 3rd