Precalculus quiz using Larson 7th generation book.
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Question 1
1.
Determine the quadrant(s) in which (x, y) is/are located so that the conditions are satisfied.
x > 0 and y < 0
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Question 2
2.
Determine the quadrant(s) in which (x, y) is/are located so that the conditions are satisfied.
x < -2 and -y > 0
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Question 3
3.
Determine the quadrant(s) in which (x, y) is/are located so that the conditions are satisfied.
xy > 0
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Question 4
4.
Find the distance between the two points (-3, 4) & (4, -8).
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Question 5
5.
Nike's annual profits in the year 2003 were $1.41 billion and for 2007 were 1.65 billion. Use the midpoint formula to estimate the annual profits for 2005.
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Question 6
6.
Find the x and y intercepts of the graph of the equation. Show answer as "x = ___ and y = ___"
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Question 7
7.
Find the x and y intercepts of the graph of the equation. Show answer as "x = ___ and y = ___"
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Question 8
8.
Assume the graph has the indicated type of symmetry. Sketch the complete graph of the equation.
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Question 9
9.
Assume the graph has the indicated type of symmetry. Sketch the complete graph of the equation.
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Question 10
10.
Assume the graph has the indicated type of symmetry. Sketch the complete graph of the equation.
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Question 11
11.
Use the algebraic test to check for symmetry with respect to both axes and the origin. SHOW ALL WORK!
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Question 12
12.
Use the algebraic test to check for symmetry with respect to both axes and the origin. SHOW ALL WORK!
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Question 13
13.
Write the standard form of the equation of the circle with the given characteristics:
Center: (0, 0); radius: 6
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Question 14
14.
Write the standard form of the equation of the circle with the given characteristics:
Center: (2, 1); Solution point (4, -7)
(Your "r" is going to be the distance between the center and the solution point)
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Question 15
15.
Find the center and radius of the circle:
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Question 16
16.
Find the slope-intercept form of the equation of the line.
(3, -1) m = -2
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Question 17
17.
Find the slope-intercept form of the equation of the line.
(-2, 6) and (5, 6)
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Question 18
18.
Find a linear equation of the lines through the given point
(a) PARALLELto the given line.
Point: (6, -5) Line: 3x + y = 12
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Question 19
19.
Find a linear equation of the lines through the given point
(a) PERPENDICULAR to the given line.
Point: (6, -5) Line: 3x + y = 12
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Question 20
20.
Depreciation. A school district purchases a high volume printer, copier, and scanner for $20,000. After 12 years, the equipment will have to be replaced and its value at that time will be $5000. Write a linear equation giving the value of V of the equipment during the 12 years it will be in use.
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Question 21
21.
The university of Delaware had enrollments of 21,238 students in 2005 and 22,520 students in 2008. Assuming the enrollment grown is linear, write a linear model that give the enrollment in terms of the year t, where t=0 corresponds to 2000. Predict how many students there will be in 2015.