Question #3 - Fall River Public Schools

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Math Basketball
Algebra II
Mid-Chapter 2 Test Review
How to play Math Basketball
• Your table group will be your team
• A problem will be displayed and your team
will need to work together to find a solution
to the problem in the time given.
• Only one member of the team may write
during a given problem and that role must
switch to a new team member before the next
question.
How to play Math Basketball
(cont.)
• Upon finding the solution, a team will raise their
hands and I will confirm the solution
• But, be warned…a team may only raise their hand
once to show me the solution…so make sure
everyone on the team agrees on the solution
before showing me…for showing me the wrong
solution means scoring no points
• Every team (not just the first) may score 1 point if
they raise their hand and show the correct
answer
How to play Math Basketball cont.
• After the time allotted for a question has
passed (and we see how the problem is
solved), those teams that have scored 1 point
on the question will have a chance to shoot
for a 2nd point.
• So, each team has the possibility of scoring 2
points for each question
• The team that finishes last will get 1 point,
second to last will get 2 points, and so on.
Cheating
Anything that would fall into the category of
cheating (or negative remarks towards another
team) will result in negative points awarded to
the team(s) involved.
Any questions???
Time to play Math Basketball!!!!!
Question #1:
Find the x- and y-intercepts of each
line:
a) x – 3y = 9
b) y = 7x + 5
c) y = 6x
Question #2:
Write the equation of each line in
slope-intercept form and identify
the slope.
a) 2x – y = 9
b) 4x + 6y = 12
Question #3:
Write an equation of each line in standard
form with integer coefficients:
a) The line through (2,3) and (4,5)
b) The line through (-4,2) with slope 3
Question #4:
Write an equation of each line in point-slope
form:
a) (-4,2) and (-3,5)
b) (0,0) and (-4,-5)
Question #6
• Find the equation of a line that is
perpendicular to the line 3x + 2y = 6 that also
goes through the point (3,0).
Question #7
• Write an equation of the following line in
standard form with integer coefficients:
y = -3/5x + 3
Question #8
• Write in point-slope form an equation of the
line through the following pairs of points.
a) (-10,3) and (-2,-5)
b) (7,11) and (13,17)
Question #10
• Find the x- and y-intercepts and graph the
line.
5x + 7y = 14
Question #11
• Write the equation of the line through each
point.
(1,-1); parallel to y = 2/5x - 3
Question #12
• Write the equation of the line through each
point.
(-3,1); perpendicular to y = -2/5x – 4
Question #13
a. Your friend says the line y = -2x + 3 is
perpendicular to the line x + 2y = 8. Do you
agree? Explain.
b. If the intercepts of a line are (a,0) and (0,b),
what is the slope of the line?
c. Which form would you use to write the
equation of a line if you knew its slope and xintercept? Explain.
Question #14
• The cost of a school banquet is $95 plus $15
for each person attending. Write an equation
that gives total cost as a function of the
number of people attending.
• What is the cost for 77 people?
Question #15
• Write the equation of the line through each
point. Use slope-intercept form.
(-2,1); perpendicular to 3x + y = 1
Answers
1. a) (0,-3), (9,0)
b) (0,5), (-5/7,0)
c) (0,0), (0,0)
2. a) y = 2x -9 slope = 2
b) y = -4/6x + 2 slope = -4/6
3. a) –x + y = 1
b) -3x + y = 14
4. a) y – 2 = 1(m + 4) or y – 5 = 1(m + 3)
b) y + 5 = 5/4 (x + 4) or y – 0 = 5/4 (x – 0)
Answers
6. y = -3/2x + 3
y – 0 = 2/3 (x – 3)
7. 3x + 5y = 15
8. a) y – 3 = -1(x + 10) or y + 5 = -1 (x + 2)
b) y – 17 = 1 (m – 13) or y – 11 = 1 (m – 7)
10. (0,2) (14/5, 0)
11. y + 1 = 2/5 (x – 1)
12. y – 1 = 5/2 (x + 3)
13. No, not negative reciprocal
14. Y = 15x + 95 = $1250
15. Y = 1/3x + 5/3
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