Math 150 – Fall 2015: Quiz 4 – Sections 3B, 3C, & Right Triangles
Group Worksheet (5 pts):
Yes or No Section Number(5 pts):
(circle yes if this is the worksheet your group would like to be graded)
If this is NOT the group worksheet, print your name here:
(-10 pts if you don’t turn in an individual worksheet with your name in this blank)
For BOTH group and individual worksheets, print the names of all members of the group who attended lab
and contributed to the worksheet here (10 pts):
Directions: You may not use your class notes, book, calculator, cell phone, any electronic devices, etc.
Your grade will be determined by your final answer and the work to justify it. You must show all your work
to receive credit. Your group should turn in one group worksheet, and each individual should turn in their
own worksheet. Only the group worksheet will count as part of your grade.
1. (10 pts) Graph the equation −x2 + 2x + y + 3 = 0 by plotting points. Plot at least 5 points and your
graph should include all x- and y-intercepts. Your graph must also have the correct shape.
2. (14 pts) Find the x- and y-intercepts for the equation x2 y 3 + 10y + 2|x − 3| + yx2 − 3y 2 = 14 + x4 y 4 .
x-intercept(s):
y-intercept(s):
3. (15 pts) Test the equation xy 3 = x2 |xy| − xy for symmetry about the x-axis, y-axis, and origin. Circle
yes or no, and you MUST show your work to receive credit!
x-axis: Yes or No. Show work for x-axis here:
y-axis: Yes or No. Show work for y-axis here:
origin: Yes or No. Show work for origin here:
4. (10 pts) If the line (5, 6) and (13, y2 ) is parallel to the line 5x − 8y = 16, find y2 .
5. (15 pts) Find the perpendicular bisector of the line segment between A(−2, 3) and B(5, −6). Write
your answer in slope-intercept form.
6. (12 pts) For the two special right triangles shown below, label each angle in radians (degrees will not
be accepted) and give the common side lengths used for the triangles. (You should label ALL three
angles and ALL three sides on each graph.)
7. (4 pts) If the length of the leg across from the
the hypotenuse?
8. (6 pts) If the length of one leg of a
other leg?
π π π
4, 4, 2
π
3
angle of a
π π π
6, 3, 2
triangle is 4, what is the length of
triangle is 5, what is the length of the hypotenuse and the