Transcript 1.3

1.3
Solving Equations
Properties
Reflexive:
aa
Symmetric:
If a  b, then b  a
Transitive:
If a  b and b  c, then a  c
Substitution: If a = b, then b can be substituted
anywhere for a
Properties
Addition:
If a  b then a  c  b  c
Subtraction: If a  b then a  c  b  c
Multiplication:
Division:
If a  b then ac  bc
a b
If a  b then  ; c  0
c c
Solving
Solve:
13 y  48  8 y  47
Solving
Solve:
2t  3  9  4t
Solving
Solve:
3x  7(2 x  13)  3(2 x  9)
Solving
Solve:
2( y  3)  6  70
Solving for a variable
Solve for h:
1
A  h(b1  b2 )
2
Solving for a variable
Solve for b1:
1
A  h(b1  b2 )
2
Application
A dog kennel owner has 100 ft of fencing to
enclose a rectangular dog run. If the owner
wants it to be 5 times longer than wide, what are
the dimensions?
Application
The measures of the angles of a triangle are in
the ratio of 4:5:6. Find the measure of all three
angles.
Application
Two cars leave a house at the same time
traveling opposite directions. One car travels at
35mph while the other travels at 45mph. How
long will it take them to be 200 miles apart?
Exit Slip
I gave 3 examples of real-world application. What other
situations can you think of that would require the same type of
application?
Homework
8/27: #1 Rules
8/28: No Homework
8/24: #2 Wkst 1.3