In which quadrant is the point located? 1. (-1,7)
Find the coordinates of the point. 3. A
4. B
.4 4 • 3
-5-4-3 -2 –1 1 2 3 4 5 -2
For Extra Help
2. ( —5, –6)
Work It Ou I Chapter Test Vdeo on CD
5. Show that the ordered pairs ( —4, —3) and (-1,3) are solutions of the equation y — 2x = 5. Then use the graph of the straight line containing the two points to determine another solution. Answers may vary.
Graph the equation. Identify the y-intercept. 6. v = 2x — 1 7. y = —
Graph the equation. 8. 2x + 8 = 0
y 3
I 2 3 4 5 x
5 4 3 2 1 –5-4-3-2-11 1 1 2 3 4 5 x -2 –3 -4 5
AEI
9. y = 5
4 3 2
5 4 3 2 1 1 2 3 4 5 x -2 -3 –4
5 4 3 2 -5-4-3-2-11 1 2 3 4 5 x -2 -3 -4 -5
299
Test Chapter 3
Find the intercepts of the equation. Then graph the equation. 10. 2x— 4y= —8 11. 2x — y = 3
<—x-intercept
—y-intercept
5 4 1 -5-4–3-2 1 I -2 -3 -4 -5
1 2 3 4 5 x
k—x-intercept
.-intercept
V
5 4 2
-5-4-3-2-11 -2 -3 -4
1 2 3 4 5 x
12. Private-College costs. The yearly cost T, in thousands of dollars, of tuition and required fees at a private college (includes two- and four-year schools and does not include room and board) can be approximated by 3 T= —5n + 5, where n is the number of years since 1985. That is, n = 0 corresponds to 1985, n = 5 corresponds to 1990, and so on. Source: Statistical Abstract of the United States. 2003 a) Find the cost of tuition in 1985, 1996, 2000, and 2004. b) Graph the equation and then use the graph to estimate the cost of tuition in 2005.
Tuition cost (In thousands)
T 530 25 20 15 10 5 0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 ri
Number of years since 1985
c) Predict the year in which the cost of tuition will be $23,000.
13. Elevators. At 2:38, Serge entered an elevator on the 34th floor of the Regency Hotel. At 2:40, he stepped off at the 5th floor. a) Find the elevator’s average rate of travel in number of floors per minute. b) Find the elevator’s average rate of travel in seconds per floor.
300
CHAPTER 3: Graphs of linear Equations
14. Train Travel. The following graph shows data concerning a recent train ride from Denver to Kansas City. At what rate did the train travel?
Distance from Denver (in miles)
500 450 400 350 300 250 200 150 100 50
1:00 2:00 3:00 4:00 5:00 6:00 Time of day
