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Objective - To simplify expressions using the
correct order of operations
Simplify.
10  2  6   3  1  


2
10  2 6   2  


2
10  2  6  4 
10  2  2 
10  4
14
P
E
MD
AS
Parenthesis
Exponents
Mult./Div.
Add/Subt.
Simplify.
1) 3  8  2 
3(6)
3) 8  2  4  1
4 4 1
16  1
18
15
2) 2  3
29
18
2
4) 7  3  2
42
6
Simplify.
5) 6  8  3
6  24
7) 10  2  3
10  6
30
4
6) 16  4  2
8)  10  2   3
42
8
(8)  3
(8)  9
72
2
2
Simplify.
9) 20   2  3  5  1  
2
10) 10  2  5  1   4
2
20   2  3(4) 
10  2(4)  4
2 0   4  3( 4 ) 
10  2(16)  4
20  4  12 
10  32  4
2 0  1 6 
10  8
2
4
2
18
Translate each verbal phrase and simplify.
1) Twice the difference of 10 and 3.
2 10  3 
2(7 )
14
2) Four added to the quotient of 16 and 2.
16  2  4
8 4
12
Translate each verbal phrase and simplify.
3) The sum of 6 and 5, multiplied by 3.
6  5  3
11  3
33
4) The difference of 9 and 6 multiplied by the
sum of 7 and 2.
9  6  7  2 
(3)  (9)
27
Write a verbal phrase to represent the expression
below.
1) 6   8  1 
Six plus the difference of 8 and 1.
2) 8 10  2 
Eight times the quotient of 10 and 2.
Evaluate the expression if x = 3 and y = 4.
2
2
x

y
1)
3) 26  x  y  1 
3  4
2
26  3(4  1)
2
26  3(5)
26  15
9  16
25
11
2) 2  x  y 
2
2(3  4)
2
2
2(7)
2(49)
98
xy  6
4)
2
34 6
12  6

2
2
18
 9

2
Insert parenthesis in the expression below to
make the statement true.
1) 5  10  6  2   47
50  3  47
2) 5  10   6   2  22
 50  6   2
 22
44  2  22
3) 5  10  6  2  35
5 • 1 0  (3)   3 5
5 •  7   35
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