Download 1.7 Notes

 1) -5+6
 2) 7+ (-8)
 3) -8 + -2
 4) 8(-3)
 5) -9(2)
 6) 18/2
 7 (-9)/3
Algebra II
1
Order of Operations
Algebra II


The order of operations is a rule that tells
you which operation you need to perform
and the order in which it must be done to
achieve the correct answer.
The order of operations is often called
PEMDAS and each of the letters
represents one part of the rule.
Algebra II
3
 P:
parenthesis and grouping
symbols
 E: exponents
 M: multiplication
 D: division
 A: addition
 S: subtraction.
Algebra II
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 MD
are performed in the order
they appear in the expression
from left to right.
 AS are performed in the order
they appear in the expression
from left to right.
Algebra II
5
2
Algebra II
+3×4÷2
6
 3+9·2÷3+8
Algebra II
7
 7+4[4+(3×2)]−5
Algebra II
8
4
Algebra II
[30−(4×2−3)]
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 1.
4+5×2−3
 2.6+6×3÷2−7
 3.
Algebra II
5+5×8÷2+6
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 4.13−3×2+8−2
 5.17−5×3+8÷2
 6.9+4×2+7−1
Algebra II
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 7.8+5×6+2×4−3
 8.19+2×4−32+10
 9.
12+4×4÷8−3
 10.
Algebra II
12×2+6÷2−12
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 Variable-
symbol used to
represent an unknown number
 Algebraic
Expression- An
expression with one or more
numbers and variables
Algebra II
13
 Ways
you could see
multiplication:
 xy
 x.y
 x(y)
 (x)(y)
 (x)y
Algebra II
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 Power- xn
 X is the base
 N is the exponent
Algebra II
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 To
evaluate an expression
means to find its value.
Algebra II
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 Remember:
Algebra II
PEMDAS
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 5(7)-6/2+32
 8[62-3(2+5)]/8+3
Algebra II
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 (x3+y3)/(x2-y2),
when
x=4.2 and y=1.8
Algebra II
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 3(3+7)2/5
 27/3(5-3)2
Algebra II
20
 2[8(a-b)2+3b]
Algebra II
if a=6 and b=3
21
 4y+6-2,
Algebra II
when y=6
22
 9+3x-5+2,
Algebra II
when x=8
23
 6y+2y-5,
Algebra II
when y=3
24
 8+3y-5,
Algebra II
when y=4
25
 7x-2(3)/3+12,
Algebra II
when x=5
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 2x3-12,
Algebra II
when x=4
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 n5+3m2-15,
Algebra II
when m=3 and n=2
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 6a+42-2,
Algebra II
when a=3
29
 a3+14,
Algebra II
when a=6
30
 2a2-16,
Algebra II
when a=4
31
 5b3+12,
Algebra II
when b=-2
32
 2x2+52,
Algebra II
when x=4
33
1.
−23 + 7y + 1 for y = 6.
2.
−12 + 7x2 − 8 for x = 6.
3.
14 + 7y2 + 22 for y = 3.
Algebra II
34
1.
18x+7y+12 for x = 3,y = 6.
1.
−63 +7x2 −18 for x = 5.
1.
45+8y+33 for y = 5.
Algebra II
35
1.
−33 +8x−22 for x = 7.
1.
(−12)2 +7y−42 for y = 6.
1.
−43 +9x+11 for x = 4.
Algebra II
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1.
(−7)2 +7x2 +122 for y = 2.
2.
−45+72 −x3 for x = 4.
Algebra II
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 For
each problem, x=2, y=3,
a=4/5, and b=3/5
 1) x+7
 2) 3x-5
 3) 6a+8b
 4) a2+2b
 5) (5a2b)/y
Algebra II
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 For
each problem, x=2, y=3,
a=4/5, and b=3/5
 6) (10x)2+ 100a
 7) 23 – (a+b)
 8) (x4-y2)/(3ay)
Algebra II
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 p.
Algebra II
22 13-29 odd
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 Complete
the Order of
Operations Packet from Friday
with your group!
Algebra II
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 5a+2b-17,
 6xy+2x-7
Algebra II
when a=3 and b=4
when x=4 and y=5
42
 9x+18y+5,
Algebra II
when x=-6 and y=2
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 6a+7
Algebra II
when a=8
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 9x+2y,
Algebra II
when x=2 and y=-3
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 5a+b2
Algebra II
when a=12 and b=4
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 (8/x)+2
Algebra II
when x=4
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 6x+2.5
Algebra II
when x=2
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 y2+4,
Algebra II
when x=-9
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 7x+2y,
Algebra II
when x=3 and y=5
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 9xy+x2,
Algebra II
when x=4 and y=2
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 3ab+b3,
Algebra II
when a=9 and b=2
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 16xy2+14,
Algebra II
when x=3 and y=4
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 6xy+4x
Algebra II
when x=2 and y=7
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 16y+8xy,
Algebra II
when x=3 and y=4
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 3x2+24y,
Algebra II
when x=3 and y=4
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