Name:
ALGEBRA 2 – TEST CHAPTER 2 :: SHOW ALL WORK AND REASONING TO RECEIVE FULL CREDIT!!!
Write the domain and range of each relation CORRECTLY IN SET NOTATION; then determine whether each is a
function.
3
), (3, -9), (5, 9), (-1, -9)} Domain ____________
4
1.
{(1, -2), (2,
Range ____________ Function Y/N _____
2.
{(-3, 5), (0, -2), (0, 4), (1, -2), (3, -5)}
3.
Draw a mapping diagram for the relation {(-1, 1), (0, 0), (1, 1), (2 ,4), (3, 9)}here
Is the relation a function? Function Y/N _____
Domain ____________
Range ____________ Function Y/N _____
Explain your answer:
Suppose f(x) = -3x +2 and g(x) = |x+4|. Find each value.
4. f 9
5.
g

 6
Find the constant of variation for the direct variation problem. Then find the value of y when x = 12.
6. y = 7 when x = 28
7.
A 15-minute long-distance telephone call to Australia costs $3.00. The cost varies directly with the length of the call.
Write an equation that relates the cost to the length of the call. How much does a 22 minute phone call cost?
Find the slope of each line and write each answer in the provided blank.
8. 3x – 4y = 12
9. through
1,4 and  1,8
10. perpendicular to y  
Graph each function.
11. y  4 x  3
12. y  |x  4|  1
5
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6
1
x9
4
Name:
Graph each function.
14. y  -
13. y  5-4 x
1
x 2
3
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6
Write in STANDARD FORM the equation of the line with the given slope through the given point.
15. slope =  4 ; (-1, 3)
16. slope = 1 ; 2,3
2
Write the equation for the line in point-slope form, then change to slope-intercept form.
17. (0, 1) and (3, 0)
18. (-3, -2) and (1, 6)
point-slope ______________________________
point slope __________________________________
slope-intercept _______________________
slope-intercept _____________________________
19. The table below displays the percentage of the population not covered by health insurance for the years 1990-1994.
Year
Percentage
0
5
1
4
2
6
3
6
4
8
a.
b.
Draw a scatter plot of the data. Use the provided grid. LABEL AXES!
Use your calculator to find the line of best fit for this data.
WRITE the equation of the line of best fit here:
DRAW the line of best fit on the scatter plot.
c.
Estimate the percentage for 1996 .
Name:
Graph each inequality:
20. y  2 | x  4 | 2
21.
y | x  3 |
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
24. y  
23. 4 y  2 x  4
6
5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
6
2
3
4
5
6
1
2
3
4
5
6
1
x 1
6
6
-6 -5 -4 -3 -2 -1
1
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Write an equation for each function.
25. ________________________
-4
-3
-2
26. _________________________
4
4
3
3
2
2
1
1
-1
1
2
3
4
-4
-3
-2
-1
1
-1
-1
-2
-2
-3
-3
-4
-4
2
3
4
27. _______________________
Name: