2015­10­7 literal equations.notebook
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October 7
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Rational Equations:
Equations that contain one or more rational expression.
October 07, 2015
2015­10­7 literal equations.notebook
October 07, 2015
Rational Equations:
Practice
Rewrite as a compound statement, then solve
Topic C
Lesson 19: Rearranging Formulas
Student Outcomes
1.Students learn to think of some of the letters in a
formula as constants in order to define a relationship
between two or more quantities, where one is in terms
of another, for example holding V in V = IR as constant,
and finding R in terms of I.
2015­10­7 literal equations.notebook
October 07, 2015
Brainstorm....
Useful formulas you've used in the past
You can use the equation-solving techniques
from earlier lessons to rearrange formulas
and solve for a specific variable symbol
Example:
If I know that the area of a rectangle is 8
and that the length is 4. I can solve for the
width by rearranging the formula
A = lw
w=A ÷l
2015­10­7 literal equations.notebook
October 07, 2015
Exercise 1
Solve the equation for x.
ax - b = c
Did you have to do anything different in
the last case?
Remember
Variables are place holders for numbers
When solving equations with several
variables, you use the same properties and
reasoning as with single-variable equations.
2015­10­7 literal equations.notebook
Write 3x + 2y = 8 so that y is a function of x.
Write 5x + 4y = 20 so that y is a function of x.
Rearrange each formula to solve for the
specified variable.
a) Given A = P(1 + rt)
i) Solve for P
ii) Solve for t
October 07, 2015
2015­10­7 literal equations.notebook
October 07, 2015
1
b) Given K = mv2
2
i) Solve for m
ii) Solve for v
Equations with more than one variable:
Example :
Solve for x in terms of a, b, c
ax + bx = c
2015­10­7 literal equations.notebook
October 07, 2015
Summary
1.How is rearranging formulas the same as solving
equations that contain a single variable symbol?
2.How is rearranging formulas different from solving
equations that contain a single variable symbol?
2015­10­7 literal equations.notebook
October 07, 2015