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Q
uantitative
R
easoning &
P
roblem
S
olving
88
© 2014 Pacific Crest
6. How does a formula differ from an expression?
7. Why are the units required when evaluating a formula?
A
Successful Performance
Successful application of your learning looks like this
As you begin to apply what you’ve learned, you should have a good idea of what success looks like.
A SUCCESSFUL
PERFORMANCE
I set up and evaluate formulas. I...
●
Choose and set up the correct formula
●
Accurately substitute the known values
●
Correctly compute both numbers and units
D
emonstrate Your Understanding
Apply it and show you know in context!
1. Evaluate the following expressions for the given value(s).
a) 3
x
2
–
5
x
+ 4 for
x
= –2.
b) 5(
r
2
–
3
s
) –
r
+ 3 for
r
= –2 and
s
= 4.
2. The formula for the volume of a cylinder in terms of its radius and height is given by the formula
V
= π
r
2
h
. Find the volume of a cylindrical oil tank with a radius of 7 meters and a height of 20 meters.
3. The formula for the intensity of light,
I
, in terms of the distance,
d
, from the source of the light, is
given by the equation
2
k I
d
=
.
Find the intensity of light,
I
, when
d
= 10 meters and the constant
k
= 350 lumens • meters
2
.