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Problem of the Week
Fair Shares
DUE FEBRUARY 28TH!
Tom, Ted, Tony, and Terry worked together on a job. The job paid $500. Each boy was paid according to the amount of work he contributed to the job. Ted and Tony earned $280 together. Ted a nd Tom have $260, and Ted and Terry got $220. What percent of the job did each boy do?
MATH 8 Syllabus
February 15
8-4: Corresponding and Alternate Interior Angles
Homework: finish worksheet
February 18th
8-3: Constructing Angles
Homework: Finish angle construction worksheet
February 20
Homework: no new homework
POW work on POW and turn it in early
February 21
Design Zone
POW due Febuary 28th
February 22
Design Zone
ALGEBRA SYLLABUS
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Febr uary 14th
No class today due to testing
no new homework
February 15th
Homework: finish review worksheet
Answer key was distributed in class
Fe bruary 18th
8-5: Graphing Syst ems of Inequaliti es
homewo rk: pg. 485 (15, 21, 22, 28, 30
Please remember to:
put each equation into slope-intercept form
write down the slope
write down the y-intercept
write down if the lin e is solid or dashed
test (0,0)
i f (0,0) is fal se, please try an ordered pair on the other side of the line
the intersection of the shading is the solution set to the inequalities
February 19th
8-5: Graphing systems of inequali t i es
homework: pg. 485 (15, 21, 22, 2 8, 30)
#17
y > 3
dashed line
test (0,0)
0 > 3 false
try (0,4)
0 > 3 true
so line goes up away from the x-axis
next equation
y >-x + 4
slope is -1
y-intercept 4
dashed line
0>-0 + 4
0 > 4 is false
try (5,0) on the other side
0 > -5 + 4
0 > -1
true
#24
x - y < -1
x -x -y< -1 -x
-y < -x - 1
multiply through by -1
remember that this reverses the sign
y > x + 1
dashed line
slope is 1
y-intercept is -1
test (0,0)
0 > 0 + 1 is false
try (0,3)
3 > 0 + 1
true so graph goes in that direction
other equation
x - y > 3
x - x - y > - x + 3
-y > -x + 3
we need t he "y" to be positive so multiply throu gh by -1
y < x - 3
remember to reverse the inequality symbol
slope is 1
y-intercept is -3
dashed line
test (0,0)
0 < 0 - 3
false
try (0, -4) which is true
there is no solution to this system of ine qualities as there is no overlap
# 2 5
2y + x < 6
2y + x - x < 6 - x
2y < -x + 6
divide each side through by 2
y < -1/2 x + 3
slope is -1/2
y-intercept is 3
test (0,0)
0 < -1/2 (0) + 3
0 < 3 is tr ue
das hed line
other equation
3x - y > 4
3x - 3x - y > -3x + 4
-y > -3x + 4
multiply through by -1 so the "y" is positive
don't forget to switch the inequality because of the multipication by a negative number
y < 3x - 4
slope is 3
y-intercept is -4
dashed line
test (0,0)
0 < 3(0) - 4
0 < -4 is false
try one on the other side
(0, -8)
-8 < -4 true
February 20
Review for chapter 8 test
Homework: Study review sheet, review sections in chapter 8, and study notes in spiral
February 21
Test day
Homework: worksheet
February 22
Design Zone in class
no new homework
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