Download 9/21/09 (Monday) NOTES CLASSWORK HOMEWORK Solving

9/21/09 (Monday)
NOTES
Solving Inequalities
 Switch the inequality
sign only when you
multiply or divide by a
negative number
CLASSWORK
HOMEWORK
CW (10 adding and subtracting
integer problems. Turned in.)
Hw#56
TB p. 244 #23-26
CW S.N
Write an equation in
slope-intercept form of the
line with the given slope
and y-intercept.
23) slope:3, y-intercept:2
24)slope: 1, y-intercept:-3
25)slope:0, y-intercept:4
26)slope:1/3,y-intercept:2
PH p. 178 #5-13 odd, #17-20,#30-33
Solve each inequality and graph the
solution.
5) x  8  10
7) a  12  6
9) x  7  9
11) x  6  2
13) y  7  12
Solve.
17) 3x  2x  9  6
18)  2 y  3 y  10  8
19) 5n  6  4n  2
20)  5x  6x  8  9
30) 3(r  2)  2r  4
31) 4(r  5)  3r  7
32) 3a  6  2a  19
33)  5  3m 10  2m
9/22/09 (Tuesday)
NOTES
CLASSWORK
HOMEWORK
Solving Inequalities (using addition
prop. and multiplication prop. of
inequalities together)
Solve and graph.
1) -2x<18
2) 4x≤28
3) 7x+4≥4x+16
4) 17-5y<8y-9
CW on solving inequalities
Hw#57
TB p. 244 #32-35
S.N PH p. 184 #5-13 odd, #24-27
Solve.
5) 13x-7<-46
7) 5x+3≥-7
9) 4-3y>13
11) 3-9y<30
13) 3-6y>23
24) 18-6y-9y<63
25) 21-8y<6y+49
26) 33-12x<4x+97
27) 14-5y-2y≥-19
Write an equation of the
line that passes through
each point with the given
slope.
32) (-3,3), m=1
33) (4,-3), m= 
34) (8,-1), m=0
35) (0,6), m=-2
3
5
9/23/09 (Wednesday)
NOTES
CLASSWORK
HOMEWORK
Parallel Lines and Perpendicular lines
 Parallel lines are lines in
the same plane that
never intersect. They
have the same slope and
different y-intercepts.
 Perpendicular lines are
lines that intersect to
form a right angle. The
slope of one is the
opposite reciprocal of the
slope of the other.
Eg)
y=2x -3 => m=2,
y=2x+5 => m=2,
they are parallel
CW on parallel and perpendicular
lines
Hw#58
TB p. 311 #10-13
S.N PH p. 340 #8-18 even
Solve each inequality.
Check your solution.
10) 5b – 1  -11
11) 21 > 15 + 2a
y
x
 2 => m=1/5
5
y = -5x +4 => m=-5
They are perpendicular
Determine whether the graphs of
the equations are parallel lines.
8) y – 6 = -6x
-2x + y = 5
10) -4 = y + 2x
6x + 3y = 4
12) -4x = 3y + 5
8x + 6y = -1
Determine whether the graphs of
the equations are perpendicular
lines.
14) y = 
2
x4
3
3x + 2y = 1
16) 2x – 5y = -3
5x + 2y = 6
18) 2x + 6y = -3
12y = 4x + 20
12) -9 
13)
2
m7
5
w
 13  6
8
9/24/09 (Thursday)
NOTES
CLASSWORK
HOMEWORK
Inequalities in Two Variables
 The solutions of an
inequality in two
variables are the ordered
pairs of numbers that
make the inequality true.
 When you graph a linear
equation, the coordinate
plane is separated into
three sets: the set of
points on the line, the set
of points above the line,
and the set of points
below the line.
 The regions above the
line and below the line
are called half-planes.
The line is called a
boundary line.
Graphing Linear Inequalities
1) Graph the boundary line by
writing the inequality into an
equation. (solid line for
 or  and dashed line for <
or >)
2) Test a point that is not on the
line, such as (0,0).
3) When the tested point gives
you a true statement, shade
that half plane. If not, shade
the other side of the
boundary line.
CW on
S.N PH p. 417 Try This #a-b
p. 419 #1-2, 6-9
Hw#59
TB p. 311 #26-29
Try This
a. Determine whether (2,1) is
a solution of x+y<4.
b. Determine whether (4,8) is
a solution of y>2x+1.
p. 419
1) Determine whether (-3,-5)
is a solution of –x-3y<18.
2) Determine whether (5,-3) is
a solution of -2x+4y  -2.
Graph on a coordinate plane.
6) y  x-3
7) y  x-5
8) y<x+1
9) y<x+4
Solve each inequality.
Check your solution.
26) 5(2h-6)>4h
27) 21  3(a-7)+9
28) 2y+4>2(3+y)
29) 3(2-b)<10-3(b-6)
9/25/09 (Friday)
NOTES
CLASSWORK
HOMEWORK
No Notes
CW on Graphing Linear Inequalities
in Two Variables
S.N PH p. 419 #21-24, p.420 #35-40
Graph on a coordinate plane.
21) x  -2
22) x-y>7
23) x-y>-2
24) x-3y<6
Hw#60
TB p. 338 #23-26
Write an inequality for each
graph.(You need the textbook for
these problems because there are
graphs you need to see.)
35) (There is a dashed line going
through 1 on the y-axis and the
slope is 1. The right half plane is
shaded)
36) (A solid line goes through -4 on
the y-axis and the slope is 1. Right
side is shaded)
37) (A dashed line goes through -2
on the y-axis and the slope is 1. The
left half plane is shaded)
38) (A solid line goes through 4 on
the y-axis and the slope is 1. The
left half plane is shaded)
39) (A solid line goes through -3 on
the y-axis and the slope is 1. The
right half plane is shaded)
40) (A vertical dashed line passes
through -2 on the x-axis. The right
half plane is shaded)
Determine which
ordered pairs are part of
the solution set for each
inequality.
23) y  3-2x; {(0,4),
(-1,3),(6,-8),(-4,5)}
24) y<3x; {(-3,1),
(-3,2),(1,1),(1,2)}
25) x+y<11; {(5,7),
(-13,10),(4,4),(-6,-2)}
26) 2x-3y>6; {(3,2),
(-2,-4) , (6,2), (5,1)}