Name _____________________________________________ Date ____________________ Period ________
Algebra 2
Chapter 2 Part A Test Review
(Calculator IS NOT Permitted)
Determine whether each relation is a function.
y
1.
y
2.
–8
–4
8
8
4
4
O
4
8
x
–8
–4
O
–4
–4
–8
–8
4
8
x
Answer each of the following. Show all your work!
3. Is the relation a function? {(14, 9), (15, 8), (8, 7), (1, 9), (15, 2)}
A. Yes
B. No
4. What is the domain and range of the following relation:{(-2, 3), (-1, 2), (0, 1), (1, 0)} ?
5. Specialty t-shirts are being sold online for $15 each, plus a one-time handling fee of $2.25. The total cost is a
function of the number of t-shirts bought.
What function rule models the cost of the t-shirts ( )? _______________________________
Evaluate the function for 3 t-shirts. _______________________________
6. State whether 4 x  y  5 is rising or falling, and explain why.
Answer each of the following. Show all your work!
7. Find the slope of a line passing through ( -7, 1 ), ( 5, 1 ).
2
8. Graph the equation : y   x using the slope and y-intercept. Use the coordinate plane below.
3
m = _________
b = _________
9. Write an equation in slope-intercept form of the line that has a slope of
3
and passes through ( - 8,5 ) .
4
10. Write an equation in point-slope form of a line that passes through ( - 2, - 3 ) and ( 2,- 1 ).
11. Write an equation in standard form that contains (0, 5) and is parallel to y 
1
x 3.
2
Answer each of the following. Show all your work.
12. Write an equation in slope-intercept form that contains (3,-1 ) and is perpendicular to 5 x  y  2 .
13. Write an equation in slope-intercept form of a vertical line that passes through ( 5,-2 ) .
14. Write an equation in slope-intercept form with slope of 0 and passes through ( 5,-2) .
For each function, determine whether y varies directly with x. If so, find the constant of variation and
write the function rule.
15.
x
2
3
5
16.
y
14
21
35
x
11
16
7
y
22
32
42
Determine whether y varies directly with x. If so, find the constant of variation.
17. y  2 x
18. y  4 x  3
For #20-22, y varies directly with x.
20. If y  4 when x  2 , find x when y  6 .
21. If y  7 when x  3 , find y when x  9 .
22. If y  6 when x  2 , find x when y  12 .
19. y  3  3 x
Is the relationship between the values in each table a direct variation, an inverse variation, or neither?
Write an equation to model each direct and inverse variation.
23.
24.
x
y
15
0.5
1
8
40
2.1
4.2
10
50
3.5
7
22
110
11
22
x
y
3
Suppose that x and y vary inversely. Write a function that models each inverse variation. Graph the
function and find y when x  10 .
25. x  1 when y  11
26. x  13 when y  100