Chapter 11
____
1. Determine which graph could represent the relation between time and elevation for the given situation. A boy
starts at the top of a sledding hill and sleds to the bottom. He then walks to the top and has some hot chocolate
with friends. He sleds down one more time and walks back up the hill.
____
2. The number of hammers sold each year by a hardware store decreases by 150 hammers each year. What type of
function would most likely model this problem situation?
a. linear functions
b. exponential function c. quadratic function d. none of the above
____
3. The graph shows the relation between time and distance from home for a woman during her 60-minute run.
Which of the following is a true statement?
a. The relation is not a function because the graph does not pass the Vertical
Line Test.
b. The relation is a function because the graph passes the Horizontal Line Test.
c. The relation is not a function because the graph passes the Vertical Line Test.
d. The relation is a function because the graph passes the Vertical Line Test.
____
4. The graph shows the student enrollment at a high school each year since 2000.
Which type of function is modeled in this graph?
a. linear
b. exponential c. quadratic d. not a function
____
5. In the graph for #4 Which of the following is true about the function ?
a. The function has an absolute minimum of about 440 students.
b. The function has an absolute maximum of about 440 students.
c. The function has an absolute maximum of about 600 students.
d. The function has no absolute minimum or maximum.
_____ 6. What does the y intercept represent in the graph for #4 (not multiple choice)
____
7. The number of cell phones sold each year by an electronics store increases by a factor of 1.5 each year. What
type of function would most likely model this problem situation?
a. linear
b. exponential c. quadratic
d. not a function
____
8. The table gives the results of a study of caffeine consumption late in the day and the effect on quality of sleep.
Suppose a health magazine is featuring an article about the caffeine study and plans on showing a photo of a
person sipping a cup of coffee. Which would be appropriate to use as a caption for the photo?
Amount of Caffeine Relative Probability
(milligrams)
of Poor Quality of
Sleep
50
0.8
100
150
200
250
300
350
400
450
500
a. A cup of coffee contains approximately 100 milligrams of caffeine.
Doubling your caffeine intake from 200 milligrams to 400 milligrams
doubles your chance of having a poor quality of sleep.
b. A cup of coffee contains approximately 100 milligrams of caffeine. Every
additional cup of coffee you drink doubles your chance of having a poor
quality of sleep.
c. A cup of coffee contains approximately 100 milligrams of caffeine. By
drinking two cups of coffee, you triple your chance of having poor quality
of sleep.
d. A cup of coffee contains approximately 100 milligrams of caffeine. By
drinking three cups of coffee, you triple your chance of having a poor
quality of sleep.
1.5
2
3
5
9
16
22
30
45
Suppose a health magazine is featuring an article about the caffeine study and plans on showing a photo of a
person sipping a cup of coffee. Which would be appropriate to use as a caption for the photo?
____
9. The graph shows the relation between time and distance from home for a woman during her 60-minute run.
Which interval could represent when the woman stopped to stretch?
a.
b.
c.
d.
between 10 minutes and 20 minutes
between 15 minutes and 20 minutes
between 20 minutes and 30 minutes
between 40 minutes and 45 minutes
Amount of Caffeine
(milligrams)
Relative Probability
of Poor Quality of
Sleep
50 100 150 200 250 300 350 400 450 500
0.8 1.5 2
3
5
9 16 22 30 45
____ 10. The table gives the results of a study of caffeine consumption late in the day and the effect on quality of sleep.
Which scatter plot shows the relative probability of having a poor quality of sleep as a function of the
milligrams of caffeine consumed?
Chapter 12
____
1. What is the distance between the two points
____
2. Which of the following is a true statement?
and
?
a. A horizontal translation changes the x-coordinate of the endpoints of a figure but the
y-coordinate remains the same.
b. A vertical translation changes the x-coordinate of the endpoints of a figure but the
y-coordinate remains the same.
c. A horizontal translation changes the y-coordinate of the endpoints of a figure but the
x-coordinate remains the same.
d. A vertical translation changes both coordinates of the endpoints of a figure.
____
3. Line segment CD had endpoints C
segment
and D
. Jill translated
. Which are the coordinates of the endpoints of
down 7 units and labeled the new line
?
a.
b.
c.
d.
____
4. Line segment LM is 3.5 centimeters long. Gary bisects the line segment and labels the point of intersection P.
What is the length of
?
a.
b.
c.
d.
7.00 centimeters
5.25 centimeters
2.50 centimeters
1.75 centimeters
____
5. What is the midpoint of a line segment with endpoints
____
6. Chaya bisected line segment GP. She labeled the point of intersection M. The length of
9 centimeters. What is the length of
?
a.
b.
c.
d.
____
and
?
is
4.5 centimeters
9 centimeters
12 centimeters
18 centimeters
7. Which of the following is a true statement?
a.
b.
c.
d.
Bisecting a line segment is the same as copying a line.
Bisecting a line segment divides a line into two equal parts.
Bisecting a line segment divides a line into four equal parts.
Bisecting a line segment does not divide the line into two equal parts.
____
8. Brian draws angle QXR on a coordinate grid. The endpoints are Q(2, 2), X(7, 2) and R(10, 6). Brian translated
the angle 12 units to the left and labels the new angle
. What are the coordinates of the endpoints of
? ________
____
9. Lori bisects angle GHI. She labels a point on the bisector as J. Angle GHI is
GHJ?
__________
. What is the measure of angle
____ 10. Write the equation of a line that is parallel to
and passes through the point (0, 1)?
a.
____ 11. Which of the following are equations of perpendicular lines?
____12. Which of the following is the equation of a vertical line?
b.
a.
b.
c.
d.
____13. What is the distance between the line
c.
and the point (-4, 3)?
____14. Write the equation of a horizontal line passing through (5,7)?_______
____ 15. Write a system of equations with a solution of (-2,5).
____ 16. Determine the perimeter and area of the composite figure.