Algebra 2 – Chapter 2 Test
Form D
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.
(4, 7), (5, 3), (6,3), (2,  4), (5,18)
1.__________(+2)
D:____________
R:____________
2.
7
6
-1
5
-9
6
-2
-5
2.__________ (+2)
D:____________
R:____________
3.
Evaluate f ( x)  3x 2  6 for f(-4)
3.__________ (+2)
Graph the following:
3
4. f ( x)  x  5 (+4)
4
5.  4 x  y  1
(+2)
6. Determine the slope of the line passing through
the points (-4, 3) and (-8, -10)
6.__________ (+2)
7. Write in STANDARD FORM the equation of the line passing through the
point (6, 2) with a slope of -3.
7.__________ (+3)
8. Write in POINT-SLOPE form the equation of the line passing through the
points (-2, 7) and (4, -2).
8.__________ (+3)
9. Write in SLOPE-INTERCEPT form the equation of the line passing through the
point (4, 6) and parallel to y = -5x + 6.
.
9.__________ (+3)
10. Determine the slope, x-intercept and y-intercept of the line
-7x + 3y = 21
10. m=___________(+3)
x-int___________
y-int___________
11. Suppose y varies directly with x. If y = 10 when x = 2, 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
3
9
-5
-15
12
4
-6
-18
12.Direct: Yes No (+2)
K=____ Y= ____
13.
x
-6
-12
-10
y
3
6
5
13.Direct: Yes
No
K=____ Y= ____
Describe the translation of the parent function to the following:
14. y  3 x  4
(+2)
15. y  x  4  12
(+2)
Write an equation for each translation of the parent function y  x
16. 2 units down and 5 units right
Y= ______________
(+2)
17. reflection in the x-axis,
6 units left
Y= ______________
(+2)
(+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.
(-5, -2), (-1, 1), (2,0), (5, 2), (-2, -2), (2, 4), (1, -1)
18._________ (+5)
Graph the following functions.
19. y  x  5
(+2)
21. y  2 x  5  3
(+4)
20. y  2 x  3
(+2)
2
22. y   x  6
3
(+2)
Write an equation for the graph
23. y ____________
(+2)
24. y ______________
(+3)
25. For the situation, find a linear model (write an equation) and use it to make a
prediction. A 2-mile cab ride costs $8. A 6-mile cab ride costs $14. How much does a 3mile cab ride cost?. (+5)