Download 9/28/09 (Monday) NOTES CLASSWORK HOMEWORK System of

9/28/09 (Monday)
NOTES
CLASSWORK
HOMEWORK
System of Equations
 A set of equations for which a
common solution is sought
 A solution of two equations
in two variables is an ordered
pair that makes both
equations true.
CW on Graphing Linear Inequalities
Hw#61
TB p. 338 #27-30
There are three ways to solve a
system of equations.
1) Graphing (the point of
intersection is the solution of
the system)
- If lines have one point of
intersection, that’s the
only solution of the
system.(consistent and
independent)
- If the lines are parallel,
there’s no
solution.(inconsistent)
- If the lines coincide,
there’s an infinite
number of
solutions.(consistent and
dependent)
2) Substitution Method
3) Addition (Elimination)
Method
S.N PH p. 419 #27-30
p. 420 #35-40
Graph on a coordinate plane.
27) 5 x  4 y  20
28) y  1  2 x
29) y  2 x  1
30) y  4 x  0
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)
Match each inequality
with its graph. (You need
to look at the textbook
to do these problems for
there are graphs to look
at.)
27) 2y + x  6
1
x y 4
2
1
29) y  3  x
2
30) 4 y  2 x  16
28)
9/29/09 (Tuesday)
NOTES
CLASSWORK
HOMEWORK
System of Equations
 A set of equations for which a
common solution is sought
 A solution of two equations
in two variables is an ordered
pair that makes both
equations true.
CW on Systems of Equations
Hw#62
TB p. 339 #48-50
There are three ways to solve a
system of equations.
1) Graphing (the point of
intersection is the solution of
the system)
- If lines have one point of
intersection, that’s the
only solution of the
system.(consistent and
independent)
- If the lines are parallel,
there’s no
solution.(inconsistent)
- If the lines coincide,
there’s an infinite
number of
solutions.(consistent and
dependent)
2) Substitution Method
3) Addition (Elimination)
Method
S.N PH p. 360 #1-5, 9-12
Determine whether the given
ordered pair is a solution of the
system of equations.
1) (3,2); 2x + 3y = 12
x - 4y = -5
2) (1,5); 5x - 2y = -5
3x - 7y = -32
3) (3,2); 3t – 2s = 0
t + 2s = 15
4) (2,-2); b + 2a = 2
b – a = -4
5) (-1,1); x = -1
x – y = -2
Solve by Graphing.
9) x + y = 3, x – y = 1
10) x – y = 2, x + y = 6
11) x + 2y = 10, 3x + 4y = 8
12) -3x = 5 – y , 2y = 6x + 10
Write an equation in
slope-intercept from of
the line that passes
through the given point
and is parallel to the
graph of each equation.
48) (1,-3); y = 3x – 2
49) (0,4); x + y = -3
50) (-1,2); 2x – y = 1
9/30/09 (Wednesday)
NOTES
CLASSWORK
HOMEWORK
Solving Systems of Equations Using
the Substitution Method
1) Solve one of the equations
for one of the variables
(x=something or
y=something)
2) Substitute what you solved
for in step 1 in the second
equation.
3) Solve the equation (you
should have only one variable
now).
4) Substitute that value into
either of the original
equations to find the other
value.
5) Check your solution.
CW on Systems of Equations
Hw#63
TB p. 255 #1-4
9/30/09 (Wednesday)
S.N PH p. 362 Try this #a-c,
p.365 #1-4
NOTES
CLASSWORK
HOMEWORK
Solving Systems of Equations Using
the Substitution Method
1) Solve one of the equations
for one of the variables
(x=something or
y=something)
2) Substitute what you solved
for in step 1 in the second
equation.
3) Solve the equation (you
should have only one variable
now).
4) Substitute that value into
either of the original
equations to find the other
value.
5) Check your solution.
CW on Systems of Equations
Hw#63
TB p.
S.N PH p.