Algebra 2: Exam 8
Name:_______________________
1. x and y vary inversely and when x = 1, y = 5. Write an equation to
relate x and y. Then find y when x = -3 .
2. Graph 𝑦 =
3$ % 2
$% 4
. Be sure to find the x-intercept, y-intercept, vertical
asymptote, and horizontal asymptote.
3. Graph 𝑦 =
4$ 2
$% 1
. Be sure to find the x-intercept, y-intercept, vertical
asymptote, and slant asymptote.
4. Simplify the following expressions.
a.
b.
$%3
2$ % 8
⋅
6$ 2 % 96
$2 % 9
$ 2 % 13$ ' 40
$ 2 % 2$ % 15
÷ (𝑥
2
− 5𝑥 − 24)
5. Simplify the following expressions.
a.
b.
5$
$'8
4
$'5
+
+
4$ % 9
$2
' 5$ % 24
2$
$ 2 % 25
6. Solve for x.
a.
b.
c.
$%1
4
5
2
+
1
$'6
=
3
$
+
3$
9
= 3
$'1
$
=
13
$'6