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Math Review
1
Algebra Review
An equation tells us that two mathematical
expressions are equal to each other. Expressions can
contain both variables and constants, as in:
3
x

5
=
2
x
+
2
v
=
v
0
+
at
When we solve an equation we manipulate the
expressions until they are in the form:
or
a
=
v

v
0
t
variable
=
expression
variable
=
constant
x
=
7
or
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2
Addition Property of Equations
The same quantity can be added to both sides of an
equation without changing the solution of the
equation.
x

2
=
9
x

2
+
2
=
9
+
2
x
=
11
v
=
v
0
+
at
v

v
0
=
v
0
+
at

v
0
v

v
0
=
at
Math Review
3
Multiplication Property of Equations
Both sides of an equation can be multiplied by the
same nonzero
quantity without changing the
solution of the equation.
x
4
= 
9
x
4
4
( 29
= 
9
( 29
4
( 29
x
= 
36
v

v
0
=
at
v

v
0
(
29
1
t
=
at
( 29
1
t
v

v
0
t
=
a
a
=
v

v
0
t
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4
Dealing with Parentheses
Parentheses can be used to group variables and
constants.
The “distributive property” of equations
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This note was uploaded on 04/28/2008 for the course PHY 111 taught by Professor Scott during the Winter '07 term at Saginaw Valley.
 Winter '07
 Scott

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