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Lesson 8
Equation (equality):

a statement that two expressions are equal
#1 rule of algebra when solving equations:

whatever you do to one side of an equation, you must do to
the other side
#2 rule of algebra when solving equations:

if you don’t know the value of a quantity, use a variable to
represent it
Tips for solving application problems:

a set of guidelines for solving applied problems is available
on page 62 of the textbook; you don’t have to follow these
exact steps, but you should have some procedure for
solving applications (define unknown values, setup
equations, solve)

pay attention to units, especially when working with
distance, rate and time problems.

look for similarities in the setup of different types of
applications; many seemingly unrelated problems (interest
problems, mixture problems, attendance problems) are set
up and solved in similar ways

if two parts makeup a total, then the total minus part 1
equals part 2 (think of rent)

be aware of the formula
± ² ³ ´
(distance equals rate
times time; think of the speedometer in a car)
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each of these examples is modeled after a homework
problem, so pay attention and follow along
Examples:
a.
To get into the 250 Club, a bowler must score an average of
250 for a threegame series.
If a bowler has scores of 267
and 225 in her first two games, what is the minimum score
in her third game that will get her into the 250 club?
How do you calculate an average?
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 Spring '09
 Algebra, Equations

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