WorksheetsAlgebra II Ch 6, 7, 8 Final Review
Total questions: 20
Worksheet time: 48mins
Name
Class
Date
1.
Simplify: x2−49x2+6x−7
a)
x+7x−1
b)
x+7x+1
c)
x−7x−1
d)
x−7x+1
2.
Multiply & Simplify:
x2+10x+21x3−9x⋅x2+5x−24x2+7x
a)
x+82x
b)
x+8x2
c)
x+4x
d)
x+8x2(x−9)
3.
8xx2+17x+72⋅x2−644x2
a)
8(x+9)
b)
2(x−8)x(x+9)
c)
81
d)
2(x−8)(x+9)(x+8)
4.
√45
a)
3√5
b)
5√3
c)
9√5
d)
5√9
5.
Express the following in simplest radical form:
200
a)
102
b)
1002
c)
250
d)
1020
6.
a)
11√5
b)
11√10
c)
5√5
d)
12√10
7.
a)
√18 + 11√2
b)
22√5
c)
11√20
d)
14√2
8.
46⋅3
a)
49
b)
72
c)
418
d)
123
9.
52⋅410
a)
2020
b)
1040
c)
405
d)
913
10.
5(3−6)
a)
15−30
b)
35−30
c)
−15
d)
15−18
11.
Write as a radical expression
y²⁄ ³
y²⁄ ³
a)
2y³
b)
√y³
c)
∛y²
d)
3y²
12.
Write the above expression in exponential form.
a)
b)
c)
d)
13.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
14.
a)
x = -6
b)
x = 3
c)
x = -3
d)
x = 5±
15.
Solve.
a)
no solution
b)
6
c)
3
d)
4
16.
Solve 33 = 34x + 2
a)
¼
b)
-¼
c)
½
d)
-½
17.
Solve
3(x+1)=27.a)
x=2
b)
x=4
c)
x=−4
d)
x=−2
18.
Solve for p:
4p+2 = 64
4p+2 = 64
a)
p = -16/9
b)
p = 1
c)
p = 8
d)
p = 7/6
19.
Rewrite log28 = 3 in exponential form.
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
20.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
100 %
