Page 1
~ Section 1.6 Notes Order of Operations
& Evaluate Expressions ~
Use the order of operations to simplify
expressions.
When a numerical or algebraic expression contains more than one operation symbol, the order of operations
tells which operation to perform first.
Order of Operations
Grouping symbols include parentheses
, brackets
, and braces
. If an expression contains more than
one set of grouping symbols, evaluate the expression from the innermost set first.
Simplify each expression below using the order of operations.
(a)
(c)
(b)
(d)
Fraction bars, radical symbols, and absolute-value symbols can also be used as grouping symbols.
Remember that a fraction bar indicates division.
(e)
(f)



15 – 2 · 3 1
12 – 32 10 2
–20 –24 1
 1143284
 2242249
342 82| | 













































Page 2
Evaluate the expression for the given value of .
Evaluating Algebraic Expressions
You Try!!!
Evaluate the expression for the given value of .
(a)
(c)
Application Example
(b)
(d)
A shop offers gift-wrapping services at three price levels. The amount of money collected for wrapping gifts on
a given day can be found by using the expression
packages , Super packages , and
money collected for gift wrapping on Friday.
Deluxe packages . Use the expression to find the amount of
. On Friday the shop wrapped
Basic
The shop collected _______ for gift wrapping on Friday.
x
x
2 4 3 3() –xforx
21 4 4 2xforx
2 · 2 2 6 ( 6)xforx
32225xforxx
2 4 7BSD
10
B
6
S
5
D

















































Page 3
Practice WS (1)
Evaluate the expression using order of operations. [PE MD AS]
1.
4.
7.
2.
5.
8.
3.
6.
9.
10.
11.
12.
In 13 – 15, evaluate each expression for the given values. Let
and
.
13.
14.
15.
In 16 – 18, evaluate each expression for the given values. Let
,
and
.
16.
17.
18.
234265
38293
3415
4621
283431
103116
288412473
232345159
25251
213328
216612
186272
8r
9m
10rm
2rm
9rm
5a
8b
9c
22cb
211bca
8bc
























































































Page 4
Practice WS (2)
Evaluate the expression using order of operations. [PE MD AS]
1.
4.
7.
2.
5.
8.
3.
6.
9.
In 10 – 12, evaluate each expression for the given values. Let
and
.
10.
11.
12.
In 13 – 15, evaluate each expression for the given values. Let
,
and
.
13.
14.
15.
3421
379186
 35873
41652
242133
9172
2621762
 15323
333720
4r
10m
10rm
2rm
5rm
3a
9b
2c
22cb
29bca
8bc



















































































Page 5
Order of Operations & Evaluate Quick Quiz Review
Use order of operations to simplify each expression.
1.
4.
7.
10.
13.
2.
5.
8.
11.
14.
3.
6.
9.
12.
15.
Evaluate each expression for the indicated variable.
16.
17.
18.
10527(3)
3234
41828
199321
24823
9465
214105
210253021
10417710
6954
254592
111839
243711
2162241
1827942
1032xforx
3828xforx
3422xforx















































































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