Name:______________________
Algebra II(9)
Quarter 3/Test 1 Review
I.
Multiply or divide:
1.
6x 2 − 18x x + 2
i 2
x−3
3x − 12
y2 − 1
* 2
4y + 6y
2.
3.
4.
*
5.
6.
7.
II.
Add or subtract
8.
10.
12.
14.
9.
7
8
−
x−5 5− x
11.
6+
x+2
x−5
x
2
+
x − x − 20 x + 4
2
13.
15
x+2
−
5x + 15x x + 3
15.
2x
x + 6x + 5
6
1
+
x + 5 x +1
2
2
III. Determine whether the following equation or graph represents a direct, inverse
or joint variation:
16. y = 5x
17.
Yx = 18
18. y = 0.2xz
19.
Y=
21
x 3
=
2 7y
20.
x
=y
6
3
x
23.
22.
24.
It takes a square inch of ice 2 hours to melt completely at 65 degrees, and it takes
5 hours for the same amount of ice to melt at 45 degrees. How does the time it takes to
melt varies with the temperature?
IV. Answer the following:
25.
If x and y vary directly, as x decreases, what happens to the value of y?
26.
If x and y vary inversely, as y increases, what happens to the value of x?
27. y varies directly with x. If y = -4 when x = 2, find y when x = -6. Find the
constant of variation (proportionality).
28. y varies inversely with x. If y = 40 when x = 16, find x when y = -5. Find the
constant of variation (proportionality).
29. y varies inversely with x. If y = 7 when x = -4, find y when x = 5.
30. y varies jointly with x and z. If y = 15 when x = 3/2 and z =30 , find z when x = 4
and y = 48