Square roots and the coordinate plane

1
Square roots and the coordinate plane
36 Simplify square roots35 Multiply and simplify
square roots34 Graph Ordered Pairs33 Graph a
line from standard form32 Find slope from two
points31 Graph lines from point and slope30
Find slopes from equations29 Graph lines, slope
intercept form28 Graphing systems of equations
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Riddle
Which of the following statements are
true? 1.         Exactly one of these ten
statements is false.2.         Exactly two of
these ten statements are false.3.         Exactly
three of these ten statements are
false.4.         Exactly four of these ten
statements are false.5.         Exactly five of
these ten statements are false.6.         Exactly
six of these ten statements are
false.7.         Exactly seven of these ten
statements are false.8.         Exactly eight of
these ten statements are false.9.         Exactly
nine of these ten statements are
false.10. Exactly ten of these ten statements
are false.
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36a Simplify Square Roots
Perfect squares
Ex2.
Ex1.
22
4
32
9
42
16
52
25
62
36
72
49
Ex4.
Ex3.
82
64
92
81
102
100
112
121
122
144
132
169
4
Riddle
Mr. Gray charges 5.00 to cut a log into two
pieces. How much would he charge to cut a log
into four pieces?
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35a Multiply and simplify square roots
Ex2.
Ex1.
4
9
16
25
36
49
Ex3.
64
81
100
121
144
169
196
225
6
Riddle
How far apart are the rails on railroad tracks?
4 11 ¾
How did we devise that measurement?
7
34a Ordered pairs
Remember that ordered pairs describe a location
in terms of x and y such that (x,y).
These are always in alphabetical order
Where is point A and M located?
A (-3,4) M(1,2)
Also recall the quadrant values
II IIII IV
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Riddle
Many people who are interested in American
history and politics, and especially Republicans,
never tire of pointing out that Woodrow Wilson, a
Democrat, was a character of such dubious
qualities that when he ran for the presidency,
his own mother didn't vote for him. Although he
did win, why couldn't he have counted on his own
mother's vote?
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33a Graph a line from standard form
Recall standard form of a line.
axbyc
Graph xy3
To graph this, lets find the intercepts
x y
0
0y3
3
3
0
x03
Graph the points and connect the dots
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33b Graph a line from standard form
Graph 3x-y6
x y
0
(3)0-y6
-6
0
2
3x-06
Graph the points and connect the dots
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33c Graph a line from standard form
Graph 3x-4y-12
x y
0
(3)0-4y-12
3
0
-4
3x-(4)0-12
Graph the points and connect the dots
12
Riddle
In 1969 Pan American Airlines accepted over
80,000 reservations for commercial flights, but
failed to specify either the dates or times of
the trips. Furthermore, to this day, they have
not bothered to honor a single reservation.
Ironically, they haven't received any formal
complaints. Why not?
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32a Find slopes from two points
Slope can be defined as m or or
Ex1. Find the slope of a line passing through
points A(-2,-5) and B(6,1)
-5-1
-6
3


-2-6
4
-8
Ex2. Find the slope of a line passing through
points A(-2,4) and B(6,-5)
4--5

9
-9

-2-6
-8
8
14
Riddle
Two girls are born of the same parents in Boston,
but not at the same time, otherwise they'd be
twins. One of them, however, is a citizen of the
United States and the other is not. How could
this be? And one did not give up her citizenship.

15
31a Graph line from slope point
Recall slope is Rise over Run
Ex1. Graph the line that goes through the point
(-3, 2) and has slope
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31b Graph line from slope point
Ex2. Graph the line that goes through the point
(-4,1) and has slope
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31c Graph line from slope point
Ex3. Graph the line that goes through the point
(3,-1) and has slope
18
Riddle
A cowboy leaves on Sunday and returns on Sunday.
He was only gone 5 days, how is this possible?
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30a Find slopes from equations
Remember ymxb ?
What type of an equation was this?
Slope-intercept
What did the m represent?
Slope
What did the b represent?
y-intercept
To find the slope from an equation
Solve for y. ( Get y )
Whatever is in front of the x is the slope!
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30b Find slopes from equations
Ex1. What is the slope of the line 6x3y54?
6x3y54
3y-6x54 Subtract 6x from both sides
y-2x18 Divide both sides by 3
? Slope is -2
Ex2. What is the slope of the line y x6
? Slope is
21
30c Find slopes from equations
Ex3. Find slope of y43(x-2)
y43x-6
y 3x-10
? The slope is 3
22
Riddle
What is so unusual about this sentence Jackdaw
loves my big sphinx of quartz.
Jackdaw is a bird similar to a crow
23
29a Graph lines, SI form
ymxb
Graph by placing the point and then using slope
for Rise over Run
y-intercept
Slope
Ex1. Graph y1/4x2
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29b Graph lines, SI form
Ex2. Graph y-x4
Ex3. Graph f(x)4x-3
25
Riddle
There is a new medical complex being built and
Larry was hired to paint the numbers 1 to 100 on
the doors. How many times will Larry paint the
numeral nine?
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28a Graph systems of equations
-x2y-6
x3y-6
2yx-6
3y-x-6
y-1/3x-2
y1/2x-3
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28b Graph systems of equations
xy2
2x-y-5
-y-2x-5
y-x2
y2x5
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28c Graph systems of equations
y2x2
-6x3y12
3y6x12
y2x4
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28d Graph systems of equations
Test tomorrow on sections 75 Simplify square
roots74 Multiply and simplify square roots73
Use square roots to solve equations72 Graph
Ordered Pairs71Graph a line from standard
form70 Find slope from two points69 Graph lines
from point and slope68 Find slopes from
equations67 Graph lines, slope intercept form66
Graphing systems of equations