Sect' 1'1 Expressions and Formulas

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Sect. 1.1 Expressions and Formulas
Goal 1 Use the Order of Operations Goal 2
Use Formulas
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Order of Operations Set of rules used to
simplify numerical expressions.
Step 1
Evaluate expressions in Grouping Symbols.
This includes parentheses, ( ), brackets, ,
braces, , and fractions bars,
Step 2
Evaluate all Powers
Step 3
Do all Multiplications and/or Divisions from Left
to Right.
Step 4
Do all Additions and/or Subtractions from Left to
Right.
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Find the value of
8 220 ?1 (3)2
The value is 4
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Simplify
384 3(7 2)3 ? 3
The value is 3
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Variables - symbols, usually letters, used to
represent unknown quantities.
Algebraic Expressions expressions that contain
at least one variable.
You Evaluate an algebraic expression by replacing
each variable with a number and using the Order
of Operations
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Evaluate the expression
a3 b(c 1)2 c2 if a -2, b 2.5, and c
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The value is - 7
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Evaluate
s t(s2 t) if s 2 and t 3.4
The value is 0.04
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The fraction bar is both an operation symbol and
a grouping symbol.
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Evaluate
If x 5, y - 2, and z - 1
The value is - 9
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Evaluate
if a 5, n - 2, and p - 1
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Formula a mathematical sentence that expresses
the relationship between certain quantities.
Some favorite Formulas!
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Find the area of a trapezoid with base lengths of
13 meters and 25 meters and a height of 8 meters.
Area 152 sq meters
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The formula for the orbital period T of a
satellite is where r is the
radius of the satellite and v is the velocity of
the satellite. Find the period a a satellite in
orbit above the earth is the radius of the orbit
is 4268 miles and the velocity is 4.4 miles per
second. Express the orbital period in hours.
The orbital period is about 1.7 hours.