Algebra 2 – Chapter 2 Test
Form C
Name: ___________________
Date:__________
Period:______
For problems 1 and 2, determine whether the relation is a function. If it is, state the
domain and range. If not, state ‘not a function’ and explain why.
1.
(9,2), (4,5), (8,4), (2,4), (3,8)
1.___________(+2)
D:____________
R:____________
2.
2. ____________(+2)
4
5
-2
3
-1
8
-2
-4
D:____________
R:____________
3.
Evaluate f ( x)  4 x 2  2 for f(-3)
3.__________ (+2)
Graph the following:
3
4. f ( x)  x  2
(+2)
5
5.  2 x  y  1
(+4)
6. Determine the slope of the line passing through
the points (-2, -1) and (8, -3)
````` 6.__________ (+2)
7. Write in STANDARD FORM the equation of the line passing through the
point (0,5) with a slope of -2.
7.__________ (+3)
8. Write in POINT-SLOPE form the equation of the line passing through the
points (1, 6) and (8, 1).
8.__________ (+3)
9. Write in SL0PE-INTERCEPT form the equation of the line passing through the
point (-3, 2) and parallel to y = 3x + 6.
9.__________ (+3)
10. Determine the slope, x-intercept and y-intercept of the line
-6x + 8y = 48
10. m=___________(+3)
x-int___________
y-int___________
11. Suppose y varies directly with x. If y = 21 when x = -7, find y when x = 3
11._________ (+3)
Determine whether y varies directly with x. Circle your answer. If so, find the constant of
variation k and write the equation. SHOW ALL WORK
12.
x
y
4
16
-5
-20
32
8
-36
-144
12.Direct: Yes No (+2)
K=____ Y= ____
13.
x
2
3
6
y
-4
-6
-12
13.Direct: Yes
No
K=____ Y= ____
Describe the translation of the parent function to the following:
14. y  x  3  2
(+2)
15. y  2 x  13
(+2)
Write an equation for each translation of the parent function y  x
16. 5 units left and 2 units up
Y= _____________
(+2)
17. reflection in the x-axis,
6 units left
(+2)
Y= _____________
(+2)
18. Graph the set of data. Decide whether a linear model is reasonable. If
so, draw a trend line and write the equation of the trend line.
(-2, -5) (1, -1) (0, 2) (2, 5) (-2, -2) (-1, 1) (4, 2) (2, 5)
18._________ (+5)
Graph the following functions.
19. y  x  4
(+2)
21. y  4 x  4  3
(+4)
20. y  3x  5
(+4)
3
22. y   x  6
5
(+2)
Write an equation for the graph
23. y ____________ (+3)
24. y ______________
(+2)
25. For the situation, find a linear model (write an equation) and use it to make a
prediction. A 3-mile cab ride costs $10. A 7-mile cab ride costs $16. How much does a 4
mile cab ride cost? (+5)