2-8 Literal Equations
and Dimensional
Analysis
CCSS: A.CED.4, A.REI.3
Example 1: Solve For A Specific
Variable
4m  3n  8 for m
15  3n  6 p for n
k 2
 11 j , for k
5
28  t (r  4), for t
a (q  8)  23, for q
Example 2: Solve For A Specific
Variable
3 x  2 y  xz  5 for x
d  5c  3d  1, for d
6q  18  qr  t , for q
Example 3: Use Literal
Equations
The Largest yo-yo in the world is 32.7 feet in circumference. It was
launched by a crane from a height of 189 feet.
The formula for circumference of a circle is
c  2r
Solve the formula for r
Find the radius of the yo-yo
Example 4: Using Dimensional
Analysis
• A 10K run is 10 kilometers long. If 1
meter=1.094 yards, use dimensional
analysis to find the length of the race in
miles. (hint: 1 mi=1760 yd.)
• A car travels a distance of 100 feet in
about 2.8 seconds. What is the velocity of
the car in miles per hour? Round to the
nearest whole number.