Chapter 11, study guide.notebook
February 17, 2016
Chapter 11 Study Guide
Feb 17­12:15 PM
1. Identify the ordered pair associated with each point.
10
8
6
A
B
4
E
2
2
-14 -12 -10 -8
-6
-4
-2
-2
-4
C
4
6
8
10 12 14
F
D
-6
-8
Feb 17­12:21 PM
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Chapter 11, study guide.notebook
February 17, 2016
2. On the Cartesian coordinate plane shown, plot the points (−2, 4), (4, −1), (−2, −1), and (4, 4). Connect the points to create a quadrilateral. Describe the figure that you drew.
4
2
-6
-4
2
-2
4
6
-2
-4
What is the height of the figure?
Feb 17­12:17 PM
3.
An airplane is descending from 33,200 feet to 10,000 feet at a rate of 3,000 feet per minute.
3.
3. hint; 33,200 - (3000 x 1 min.) = 30,200 altitude
a. What quantities are changing in this situation?
b. Define variables for the independent and dependent quantities.
c. Write an equation for this problem situation.
Feb 17­12:25 PM
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Chapter 11, study guide.notebook
February 17, 2016
d. Complete the table to show the plane’s altitude at the given times.
Altitude
Time
(feet)
(minutes)
0
1
2
3
4
6
Feb 17­12:31 PM
Name the quadrant in the Cartesian coordinate plane where each point is located.
4. (-12, -6)
5. (-2.3, 4.2)
6. (5, -5)
Feb 17­12:37 PM
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Chapter 11, study guide.notebook
February 17, 2016
Write an absolute value expression for the distance between each pair of points. Then, use your expression to calculate the distance.
7. (­3, 2) and (7, 2)
8. (3, ­4) and (3, ­12)
Feb 17­12:40 PM
d 9. A free diver dives into the ocean at a rate of 1.12 feet per second.
A a.
How deep will the diver be after 10 seconds?
b. How deep will the diver be after 30 seconds?
c.
How deep will the diver be after 1 minute?
2
d. How deep will be diver be after 1 minutes?
3
e.
What quantities are changing in this situation?
f.
Define variables for the independent and dependent variables.
g. Write an equation for this problem situation. Since the diver is diving below the surface of the ocean, the depths will be defined as negative numbers to represent “below sea level.”
Feb 17­12:43 PM
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Chapter 11, study guide.notebook
February 17, 2016
h. Complete the table using your answers from parts a–d.
Time (seconds) Depth (feet)
10
30
60
100
Feb 17­1:17 PM
i. Graph your equation using the values from the table. Graph the independent variable on the x­axis and the dependent variable on the y­axis.
30
60
90
120
150
-30
-60
-90
-120
Feb 17­3:15 PM
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Chapter 11, study guide.notebook
February 17, 2016
11. In which quadrant in the Cartesian
coordinate plane is point (-5, 5) located?
a. Quadrant I
b. Quadrant II
c. Quadrant III
d. Quadrant IV
Feb 17­3:24 PM
13. Which expression gives the distance between the points (3, −11) and (3, −21)?
a. l3-3l
b. l-21-(-11)l
c. l3 + (-21)l
d. l3 -(-11)
Feb 17­3:30 PM
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Chapter 11, study guide.notebook
February 17, 2016
Feb 17­3:36 PM
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