Ch 6 Solving and Graphing Linear Inequalities

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Ch 1 Connections to Algebra
-variables, exponents and powers, order of operation, equations and
inequalities, tables and graphs
Ch 2 Properties of Real Numbers
-addition, subtraction, multiplication, division, matrices, probability and odds
Ch 3 Solving Linear Equations
-adding and subtracting, multiplying and dividing equations, decimal
equations, formulas, rates, ratios, percents
Ch 4 Graphing Linear Equations and Functions
-coordinates and scatter plots, quick graphs with intercepts, slope, direct
variation, quick graphs using slope-intercept, solving equations by graphing,
functions and relations
Ch 5 Writing Linear Equations
-using slope-intercept form, given slope and a point, given two points, best
fitting line, point-slope form, standard form, predicting with linear models
Ch 6 Solving and Graphing Linear Inequalities
November 7
8A
6.1/6.2
9H
6.1/6.2
10 A
6.3
11 Quiz 6.1-6.3 A
6.4
14 A
6.4
15 A
6.5
16 H
6.5
17 D Quiz 6.4-6.5;
6.6
18 C
6.6
21 A
6.7
22 C
Review
23 D
Test
26
Thanksgiving
27
See p384-386 for preview
6.1 Solving One-Step Linear Inequalities
Solving one-step linear inequalities
Solve x + 8 > 1 and graph the solution
Solve 3 < m – 5 and graph the solution
When you multiple or divide by a negative number, you
must reverse the sign.
Date assigned (due next day)
Assignment
Tuesday (11/8)
Wednesday (11/9)
6.1 p337-339 #22-54 every 4th one, 55-63, 87:
6.2 p343-345 #16-32 every 4th one, 39,43-48
Thursday (11/10)
6.3 p349-351 #12-38 even, 46-48
Friday (11/11)
6.4 p356-357 #20-44 even
6.2 Solving Multi-step Linear Inequalities
5x – 3 > 12
-3x + 1 < 22
-x + 1 < 3x + 21
6.2 p343-345 #16-32 every 4th one, 39,43-48
6.3 Solving Compound Inequalities
-5<2x + 3 < 7
6x – 5 < 7 or 8x + 1 > 25
Solve -3 < -1 – 2x< 5
The park is 1 ½ miles from your house. The mall is 2 ¼ miles
from your house:
a. Find the minimum distance between the park and the mall.
b. Find the maximum distance between the park and the mall.
c. Write and inequality that describes the possible distances d
between the park and the mall.
6.3 p349-351 #12-38 even, 46-48
No two sides when added together can be shorter than the 3rd side.
No one side can be longer than the other two sides added together.
x < s1 and s2 long side < x + short side
long side < other two sides, and x < other two sides
47. 7 ½ < x + 3 ¼ and x < 3 ¼ + 7 ½
4 ¼ < x and x < 10 ¾
4 ¼ < x < 10 ¾
48. 11.75 < x + 5.5 and x < 5.5 + 11.75
6.25 < x and x < 16.25
6.25 < x < 16.25
6.4 Solving Absolute-value Equations and Inequalities
1) Solve |x-4|=8
2) Solve |5x+1|+3 =14
3) Solve|x+6|< 8
4) Solve |3x-3|+4 > 10
6.4 p356-357 #20-44 even
Monday’s homework: 6.4 p357 46-48 even, 69-71, 74-84 even
November 7
8A
6.1/6.2
9H
6.1/6.2
10 A
6.3
11
6.4
14 A
6.4
15 A
6.5
16 H
6.5
17 D Quiz 6.1-6.5;
6.6
18 C
6.6
21 A
6.7
22 C
Review
23 D
Test
26
Thanksgiving
27
http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
6.1 Solving One-Step Linear Inequalities x + 8 > 1
6.2 Solving Multi-step Linear Inequalities 5x – 3 > 12
6.3 Solving Compound Inequalities -5<2x + 3 < 7
6.4 Solving Absolute-value Equations and Inequalities
|x-4|=8
|5x+1|+3 =14
6.5 Graphing Linear Inequalities in Two Variables
Monday (11/14)
6.4 p357 46-48 even, 69-71, 74-84 even
Tuesday (11/15)
6.5 p363 #16-48
Wednesday (11/16)
6.5 p364-366 #50,54,60,62,64,65,66,70-73;
study for quiz 6.1-6.5
Thursday (11/17)
6.6 p371 #12,16,18,24,25-28,29
Friday (11/21)
6.6 p372 #39,43,44,48,52,58
6.5 Graphing Linear Inequalities in Two Variables
> or < use dashed line; > or < use solid line
Graph x < -2
Graph y < 1
Graph x + y > 3
6.5 homework p363 #16-48
6.5 p364-366 #50,54,60,62,64,65,66,70-73
Write an inequality of
the graph below:
Graphing Calculator
Friday: 11/18/2011
Please have the following homeworks ready (labeled,
in order, stapled and your name) to be collected:
6.4 p356-357 #20-44 even
6.4 p357 46-48 even, 69-71, 74-84 even
6.5 p363 #16-42 even, 43-48 all
6.5 p364-366 #50,54,60,62,64,65,66,70-73
6.6 p371 #12,16,18,24,25-28,29
6.6 Stem and leaf plots; mean, median, mode
1 7,8,9
2 0,2,3,4,9
3 0,9
4 0,5
5 0,1
6.6 p371 #12,16,18,24,25-28,29
Mean = ∑n = 161+146+158+150+156+150
n
6
Mean = 921 = 153.5
6
Median: 146, 150,150,156,158,161
Mean = average
Median= middle
Mode=most common
Median = (150+156)/2 = 153
Mode = 150
6.6 p371 #12,16,18,24,25-28,29
25.
Mean=∑ all shutouts
# of pitchers
Mean=728/10
Mean=72.8 shutouts
26. median: 110,90,80,76,69,63,61,61,60,58
median: (63+69)/2 =66
27. Mode?
28. How to make more than one mode?
Mean = average
Median= middle
Mode=most common
Total income of 100 people = average income x 100
=$74,750 x 100
=$7,475,000
Total income of 99 people =$7,475,000-$5,000,000 = $2,475,000
Mean of 99 people = $2,475,000 = $25,000
99
Is the mean a fair measure of a typical salary in the town?
Male
Female
6.6 p372 #39,43,44,48,52,58
43 a.) mean = 84+92+76+x
4
320 < 252 +x
85 < 252+x
4(85) < 252 +x
4
320-252 < 252-252 +x
68 < x
To have an average of 85 or higher, must score > 68 on test.
Check to see if # is
solution of the inequality
Find the slope
Solve the inequality and graph the solution
x – 3 < 12
or
x - 3 > -12
x < 15
or
x > -9
M
T
W
Th
F
November 7
8A
6.1/6.2
9H
6.1/6.2
10 A
6.3
11 Quiz 6.1-6.3 A
6.4
14 A
6.4
15 A
6.5
16 H
6.5
17 Quiz 6.46.5 D
6.6
18 C
6.6
21 A
6.7
22 C
Review
23 D
Test
26
Thanksgiving
27
Friday (11/21)
6.6 p372 #39,43,44,48,52,58
Monday (11/22)
6.7 p378 #12,14,16,22 ,31-33,36
6.7 Review for test p384-386 #2-24 even
Tuesday (11/23)
Review for test
Put in order: 2,3,3,4,5,5,7,8,10,11,12,12,18,23,24
Find median: 2,3,3,4,5,5,7,8,10,11,12,12,18,23,24
Find quartiles: 2,3,3,4,5,5,7,8,10,11,12,12,18,23,24
Find the 1st, 2nd and 3rd
quartiles of the data
6.7 p378 #12,14,16,22 ,31-33,36
Draw a box and whisker plot
2
3
74,75,79,80,87,88,89
0,5,5,10,43,46,81
274,275,279,280,287,288,289,
300,305,305,310,343,346,381
Median: (289+300)/2 =294.5
1st quartile: 280
3rd quartile: 310
http://www.classzone.com/books/algebra_1/
Review: p384
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