Transcript Checking for Understanding

Checking for Understanding
Solve
1
1
1
1) x   x 
3
4
6
2) 2(a  3)  11  15
n2
3)
 21
7
n
4)  2  7
4
5
1) x 
8
Answer
n2
3)
 21
7
n  2  21
2)2( a  3)  11  15
n  19
2a  6  11  15
n
4)  2  7
4
n
9
4
n  36
2a  5  15
2a  10
a5
Take out your Agenda!
Pg. 45 #13-35(odds)
Take YOUR Whiteboard OUT
2(3x  1)  5  ( x  3)
6x  2  5  x  3
6x  2  x  2
7x  2  2
7x  4
4
x
7
2
1
5
x   2x 
3
4
6
1
5
2
12  x   2 x  
4
6
3
2
1
5
(12) x  (12)  (12)2 x  (12)
3
4
6
8 x  3  24 x  10
13  16 x
13
x
16
4 x  9 y  30; x  3
30  4 x
4 x  30
y
or y  
9
9
y2
 y  2 x  11; x  4
y  2 x  11
y  19
1
4
x  y  19; x  6
2
5
5 x  8 y  190
5 x  190
y
8
y  20
6 x  5 y  44  0; x  4
6 x  44
y
5
y  4
 x  3 y  55; x  20
x  55
55  x
y
or y 
3
3
35
y
3
9 y  4 x  16  0; x  8
4 x  16
y
9
16
y
9
xy  3 x  25; x  5
3x  25
y
x
3x 25
y

x
x
y

2
25
y  3 
x
1 2
Volume of a cone. Solve for h: V   r h
3
3V
h 2
r
9
Celsius to Fahrenheit. Solve for C: F  C  32
5
5
C  ( F  32)
9
1
Area of a Trapezoid. Solve for b 2 : A   b1  b2  h
2
2A
b2 
 b1
h
Put YOUR Whiteboard Aside
Take Out Your Notebook
Pg #
Ch 1.4 and 1.5 Rewriting Equation
Date: 9/16/10
And word problems
The formula for the area of a circle is A= r 2 .
The formula for the circumference of a circle
is C  2 r. Write a formula for the area of a
circle in terms of its circumference.
pg 33 ex1
The Bullet Train runs between the Japanese
cities of Osaka and Fukuoka, a distance of
550km. When it makes no stops, it takes 2 hrs
and 15 mins. to make the trip. What is the
average speed of the Bullet Train?
pg 34 ex3
You own a lawn care business. You want to know
how much money you spend on gasoline to travel
out-of-town clients. In a typical week you drive
600 miles and use 40 gallons. Gasoline costs $1.25
per gal, and your truck's fuel efficieny is 21 miles per
gal on the highway and 13 miles per gal in town.
Ticket Out the Door
4 x  7 y  7  0; x  7
Take notes - Linear Inequalities
5 x  1  x  17
4 x  1  17
4 x  16
x4
5x 1  x 17
Linear Inequalities
3(2 x  4)  7 x  8
We Practice
5 x  3  2(3  x) 5x  20  2x  1
5x  3  6  2 x
3 x  20  1
3x  3  6
3 x  21
3x  9
x3
x7
Name of Symbol




Greater
Less than
Greater or equal to
Less than or equal to
To Graph:
• Symbol:
• Name:
x3
x is greater than 3
• Number line:
To Graph:
• Symbol:
• Name:
5 y
5 is less than or equal to y
• Number line:
We Graph:
• Symbol:
• Name:
3 x
3 is less than to x
• Number line:
We Practice
4 x  2  2(3  x)
4x  2  6  2x
2x  2  6
2x  8
x4
You Do it
x  1  5x 19
1  4 x  19
20  4 x
5 x
Review!
5(m  3)  2m  27
2(r  4)  5(r  7)
5m  15  2m  27
2r  8  5r  35
7 m  15  27
8  3r  35
27  3r
7 m  42
m6
r 9
Graphing- Find all the solution set
x7
t  5
4  x
6r
We Practice
4 x  2  2(3  x)
4x  2  6  2x
2x  2  6
2x  8
x4
You Do it
x  1  5x 19
1  4 x  19
20  4 x
5 x
You Do it
5( x  4)  2 x  1
5 x  20  2 x  1
3 x  20  1
3 x  21
x7
You Do it
5 x  3  2(3  x)
5x  3  6  2 x
3x  3  6
3x  9
x3
3.1 Graphing Inequalities
Name
Per
Date:10/8/09
Name of Symbol
How do
you graph
inequalities?




Greater
Less than
Greater or equal to
Less than or equal to
To Graph:
• Symbol:
• Name:
x3
x is greater than 3
• Number line:
To Graph:
• Symbol:
5 y
• Name:
y is greater than or equal to 5
• Number line:
We Graph:
• Symbol:
3 x
• Name:
x is less than 3
• Number line:
We Graph:
• Symbol:
y  3
• Name:
y is greater than or equal to -3
• Number line:
Take YOUR Whiteboard OUT
You Practice to Graph:
• Symbol:
• Name:
y5
y is less than 5
• Number line:
You Practice to Graph:
• Symbol:
• Name:
4n
n is less than 4
• Number line:
You Practice to Graph:
• Symbol:
• Name:
6  m
m is greater than or equal to -6
• Number line:
Put YOUR Whiteboard ASIDE
How do
you check
solution?
6  x
a.6
b.  8
c.0
d.  2
We do it together
How do
you check
solution?
2 n  1  5
a.  4
b.  2
c.  3
d .2
Take YOUR Whiteboard OUT
Is each number a solution of the
given inequalities
n 1  3
a.  2
b.5
c.4
No
Yes
No
Is each number a solution of the
given inequalities
n(n  2)  n  2
a.  3
No
b.4
No
c.  2
No
Put YOUR Whiteboard AWAY
Take YOUR Whiteboard OUT
x
  4
8
x
(8)   4(8)
8
x  32
3
9 d
4
3  4
 4
  9   d   
4  3
 3
12  d
d  12
(6 x  2)  0
6 x  2  0
6 x  2
2
x
6
1
x
3
Solve the compound inequality
n  5  2 or -3n  1  10
3n  1  10
n5 2
n  3
3n  9
n3
Solve the compound inequality
2 y  3  1 or 5  y  4
5 y  4
2 y  3  1
 y  1
2y  2
y 1
y 1
Put YOUR Whiteboard ASIDE
Take Out Your Notebook
3.5 Compound Inequalities Review
Name
Per
Date:10/16/09
Compound
Inequality
Join by AND
a. All real numbers that are at
least -3 and at most 6
Think w/ Ms.Dang
• The crowd that heard the
President Obama speak was
estimated to be 10,000 people.
The actual crowd could be 750
more or less than this. What are
the possible value for the actual
crowd?
Move Next to Your Partner
Take Out Your Whiteboard
All real numbers that are at
least -2 and at most 4
Orange County’s temperatures
will be above 81 F but not as
high as 100 F
A tropical storm has wind
speeds of at least 40 mi/h but
no more than 74 mi/h
Put Your Whiteboard ASIDE
Think w/ Ms.Dang
Solve
116 3x3r3 8  7

5
4
6
Think w/ Your Partner
Solve
2  3x  7  4
Move Next to Your Partner
Take Out Your Whiteboard
Solve
16  4 x  24
16  4 x  24
4  x  6
Solve
3  2 x  1  7
3  2 x  1  7
2  2 x  8
1  x  4
Solve
5 x
5 x
(3)  2 
 2(3)
2 
2
3
3
6  5  x  6
11   x  1
11  x  1
Solve
14  17  a
12 
 16
3
14  17  a
(3)12 
 16(3)
3
36  14  17  a  48
36  31  a  48
5  a  17
Solve the compound inequality
2n  1  1 or 2n  1  1
2n  1  1
2n  1  1
2n  2
n 1
2n  0
n0
Solve the compound inequality
3 j  6 or 3 j  6
3j  6
j2
3j  6
j2
Solve the compound inequality
2k  3  3 or 2k  3  3
2k  3  3
2k  3  3
2k  6
k2
2k  0
k0
5 x  2  4( x  1)
5x  2  4 x  4
x24
x6
3( x  7)  21
3x  21  21
3x  0
x0
2( x  2)  4
2 x  4  4
2 x  0
x0
3n  6  5( n  2)
3n  6  5n  10
8n  6  10
8n  16
n  2
5 x  2  4( x  1)
5x  2  4 x  4
x24
x6
3(3x  1)  5 x  5(5  x )  1
9 x  3  5 x  25  5 x  1
14 x  3  5 x  24
9 x  3  24
9 x  27
x3
Put YOUR Whiteboard AWAY
3.5 Compound Inequalities “AND”
Name
Per
Date:10/15/09
Compound
Inequality
Join by AND
a. All real numbers that are at
least -2 and at most 4
Think w/ Ms.Dang
• All real numbers greater than -2
but less than 9
Move Next to Your Partner
Take Out Your Whiteboard
All real numbers that are at
least 2 and at most 9
Today’s tempertures will be
above 32 F but not as high as
40 F
The book were priced between
$3.50 and $6.00, inclusive
Put Your Whiteboard ASIDE
Think w/ Ms.Dang
Solve
14 3rx51 1

5
2
4
Think w/ Ms.Dang
Solve
7  3n  1  13
Move Next to Your Partner
Take Out Your Whiteboard
Solve
6  3x  15
3x  15
2  x 2  x  5 x  5
x  2
6  3x
Solve
3  2 x  1  7
3  2 x  1
2x 1  7
2  2 x
2x  8
x4
1  x
x  1
1  x  4
Solve the compound inequality
2n  1  1 or 2n  1  1
2n  1  1
2n  1  1
2n  2
n 1
2n  0
n0
Solve the compound inequality
3 j  6 or 3 j  6
3j  6
j2
3j  6
j2
Solve the compound inequality
2k  3  3 or 2k  3  3
2k  3  3
2k  3  3
2k  6
k2
2k  0
k0
5 x  2  4( x  1)
5x  2  4 x  4
x24
x6
3( x  7)  21
3x  21  21
3x  0
x0
2( x  2)  4
2 x  4  4
2 x  0
x0
3n  6  5( n  2)
3n  6  5n  10
8n  6  10
8n  16
n  2
5 x  2  4( x  1)
5x  2  4 x  4
x24
x6
3(3x  1)  5 x  5(5  x )  1
9 x  3  5 x  25  5 x  1
14 x  3  5 x  24
9 x  3  24
9 x  27
x3
Put YOUR Whiteboard AWAY