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WorksheetsAlgebra- Unit 6 Review
Total questions: 60
Worksheet time: 2hrs 28mins
Name
Class
Date
1.
n2⋅n4
a)
n2
b)
n8
c)
n6
d)
n²²
2.
Simplify the expression.
x4 • x12
a)
x3
b)
x48
c)
x16
d)
x8
3.
Simplify 2m4 • 5m2
a)
10m6
b)
10m8
c)
7m6
d)
7m8
4.
Simplify the expression.
x4 (x12)
x4 (x12)
a)
x3
b)
x48
c)
x16
d)
x8
5.
Simplify
x0
x0
a)
x
b)
0
c)
1
d)
Undefined
6.
Rewrite using positive exponents.
3x⁻²
3x⁻²
a)
3 ⁄ x²
b)
1 ⁄ 3x²
c)
x² ⁄ 3
d)
-3x²
7.
Simplify 3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
8.
(2x4y5)(-3x2y7)
a)
6x6y12
b)
-1x6y-2
c)
-6x2y2
d)
-6x6y12
9.
(x5)4
a)
x9
b)
x20
c)
x
d)
x54
10.
(2x7)3
a)
6x21
b)
8x21
c)
6x10
d)
8x10
11.
(2/3)4
a)
8/12
b)
24/3
c)
24/34
d)
2434
12.
Simplify the expression.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
22 z7
13.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
14.
a)
4y6
b)
4y22
c)
30y6
d)
30y22
15.
a)
2a2b6
b)
1 / 2a2b6
c)
b6 / 2a2
d)
2b6 / a2
16.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
17.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
18.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
19.
-20x6 + (-10x6)
a)
10x12
b)
-30x6
c)
-10x6
d)
-30x12
20.
Simplify the following expression
-10y2 + 5y
-10y2 + 5y
a)
15y3
b)
-5y2
c)
-5y
d)
-10y2 + 5y
21.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
22.
2x2 + 3y - 2x + 5y + 2x
a)
2x2 + 8y
b)
2x + 8y
c)
2x + 5y
d)
2x2 + 4x + 8y
23.
(2.9 x 10-9) - (1.7 x 10-9)
a)
1.2 x 10-18
b)
1.2 x 10-9
c)
4.6 x 10-9
d)
1.335 x 10-4
24.
Subtract the within the scientific notation.
(2 x 10³) - (1.9 x 10²)
(2 x 10³) - (1.9 x 10²)
a)
1.81 x 10⁵
b)
1.81 x 10³
c)
1.81 x 10⁶
d)
1.81 x 10⁴
25.
Write the answer in scientific notation.
4.1 x 105 + 5.5 x 106 =
4.1 x 105 + 5.5 x 106 =
a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
26.
(2.3 x 102)+(4.1 x 102)=
a)
6.4 x 104
b)
6.4 x 102
c)
6.4 x 100
d)
.64 x 101
27.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
28.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
29.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
30.
Solve:
(9 x 10-6) / (3 x 10-3)
(9 x 10-6) / (3 x 10-3)
a)
27 x 10-9
b)
3 x 10-3
c)
3 x 10-9
d)
27 x 10-3
31.
(6×103) ÷ (3×102)
a)
18×106
b)
2×105
c)
2×106
d)
2×101
32.
Multiply:
(9.4 x 106)(3.2 x 105)
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
33.
Which function matches the graph?
a)
A
f(x) = 2(3)x
f(x) = 2(3)x
b)
B
f(x) = 3(2)x
f(x) = 3(2)x
c)
C
f(x) = 3(6)x
f(x) = 3(6)x
d)
D
f(x) = 3(½)x
f(x) = 3(½)x
34.
Is this exponential growth or decay?
a)
Growth
b)
Decay
35.
What is the equation that best represents the graph?
a)
y=2y
b)
y=2x
c)
y=2-x
d)
y=x2
36.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
37.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
38.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
39.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
40.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
41.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
42.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
43.
Find the common ratio for the geometric sequence.
a)
2/3
b)
3/2
c)
-2/3
d)
-3/2
44.
What does a1 represent?
a)
Any term
b)
First term
c)
Last term
45.
What does r represent?
a)
Radical
b)
Common difference
c)
Common ratio
46.
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___, ...
a)
1024, 2048, 4096
b)
32, 8, 2
c)
64, 32, 16
d)
92, 66, 38
47.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
48.
√45
a)
3√5
b)
5√3
c)
9√5
d)
5√9
49.
√28
a)
7√2
b)
7√4
c)
4√7
d)
2√7
50.
√125
a)
5√5
b)
25√5
c)
5√25
d)
5√2
51.
√121
a)
12
b)
10
c)
11
d)
3
52.
√ ̅18x4
a)
3x2√ ̅2
b)
9x2√ ̅2
c)
x2√ ̅18
d)
3x√ ̅x
53.
√ ̅32n2
a)
4√ ̅2n2
b)
16n√ ̅2
c)
4n√ ̅2
d)
n√ ̅32
54.
√ ̅45c2
a)
9c√ ̅5
b)
3c√ ̅5
c)
c√ ̅45
d)
3c2√ ̅5
55.
√ ̅80t2y3
a)
4ty√ ̅5y
b)
40t√ ̅2y
c)
2ty√ ̅20y
d)
4ty√ ̅20ty
56.
√ ̅108w3x3
a)
54wx√ ̅wx
b)
3wx√ ̅12wx
c)
9wx√ ̅wx
d)
6wx√ ̅3wx
57.
What is the asymptote of the graph?
a)
x=2
b)
y=-2
c)
y=0
d)
y=-1
58.
Asymptote?
a)
y = 4
b)
y = 0
c)
x = 4
d)
y = 5
59.
What is the domain of the function shown below?
a)
-2 < x < 5
b)
0 < x < 12
c)
y > 0
d)
All Real Numbers
60.
What is the range of the function shown below?
a)
0 < y < 12
b)
-2 < y < 5
c)
y > 0
d)
All Real Numbers
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