1.2 Order of Operations and
Evaluating Expressions:
Power: Has two parts, the base and
exponent ( b2  b = base, 2 = exponent )
Exponent: The number that tells you how
many times we multiply the base.
Base: The number that is multiplied
according to the exponent
Simplify: Perform math operations to get
a shorter expression and/or an answer.
Evaluate: Replace the variables with given
numbers to simplify an expression.
GOAL:
REAL-WORLD:
An object’s momentum is defined as
the product of its mass m and
velocity v. Write and expression for
the momentum of the object. Make
a table to find the momentum of a
vehicle with a mass of 1000 kg
moving at a velocity of 15 m/s, 20
m/s and 25 m/s.
SOLUTION:
Expression:
Momentum = (mass)(velocity)
mass = m
velocity = v
Momentum = (m)(v)
SOLUTION:
Table:
Momentum = (m)(v)
Mass
1000
1000
1000
1000
Velocity
15 m/s
20 m/s
25 m/s
W m/s
Momentum= mv
15,000
20,000
25,000
1000w
YOU TRY IT:
Evaluate the expression for s = 4
and t = 8
(s+t)3
SOLUTION:
When we evaluate we replace the given value
for the variables.
S = 4 and t = 8
(s + t ) 3
(4 + 8 ) 3
(12) 3
(12)(12)(12)
Replace
PEMDAS
Multiplication
Therefore: 1728 is the answer.
VIDEOS:
Variables
and Expressions
Variables:
http://www.khanacademy.org/math/algebra/intro
duction-to-algebra/variable-andexpressions/v/what-is-a-variable
Expressions:
http://www.khanacademy.org/math/algebra/intro
duction-to-algebra/variable-andexpressions/v/variables-and-expressions-1
CLASSWORK:
Page 13-15:
Problems: As many as it
takes you to master
the concept.