WorksheetsCh 6 Review
Total questions: 84
Worksheet time: 4hrs 6mins
Name
Class
Date
1.
simplify 5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
2.
Simplify m12/ m3
a)
m12-3 = m9
b)
m12/3 = m4
c)
m-9
d)
-m9
3.
Simplify (7x4)(9x3)
a)
16x12
b)
79 x12
c)
63x4+3 = 63x7
d)
63x12 noooo oh nooooo
4.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
5.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
6.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
7.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
8.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
9.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
10.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
11.
a)
y15
b)
y50
c)
y2
d)
y5
12.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
13.
(x3)(x5)(x10)
a)
150x
b)
18x
c)
x18
d)
x150
14.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
15.
Evaluate: 102.5
a)
316.228
b)
103.162
c)
0.398
16.
Simplify: (5x2) ⋅ (-4x3)
a)
20x6
b)
20x5
c)
-20x6
d)
-20x5
17.
Simplify: (3x3)2 ⋅ (5x4)
a)
30x9
b)
45x10
c)
15x9
d)
15x10
18.
Simplify: (⅔)-2
a)
4/6
b)
9/4
c)
-4/9
d)
-9/4
19.
Simplify: 9 / x-2
a)
9x2
b)
x2/9
c)
81/x2
d)
81x2
20.
According to exponent rules, when we multiply terms with the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
21.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
22.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
23.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
24.
Which expression is equivalent to the given?
a)
b)
c)
d)
25.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
26.
x-3
a)
1/x3
b)
1/x-3
c)
3x
d)
1/3x
27.
(3x4)5
a)
15x9
b)
243x20
c)
15x20
d)
243x9
28.
7x0
a)
1
b)
7
c)
x7
d)
x−7
29.
a−51
a)
a−5
b)
5a
c)
a5
d)
a5
30.
a)
−40x12y15
b)
−40x4y11
c)
2x12y15
d)
2x4y11
31.
a)
12
b)
36
c)
1/36
d)
1/12
32.
a)
8
b)
1/8
c)
87
d)
all of the above
33.
Which is (63)(64) in exponential form?
a)
3612
b)
76
c)
612
d)
67
34.
Which shows 46 ÷ 45 in standard form?
a)
0
b)
1
c)
4
d)
16
35.
Rewrite the expression as a power.
(24)(25)
(24)(25)
a)
220
b)
49
c)
420
d)
29
36.
Using the rules of exponents, simplify the following expression. Your answer should be in exponential form.
a)
73 x 52
b)
74 x 58
c)
73 x 54
d)
72 x 54
37.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
38.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
39.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY FACTOR
40.
Is the equation linear, exponential, or quadratic?
y = 2x+ 4
y = 2x+ 4
a)
Linear
b)
Exponential
c)
Quadratic
d)
None of the above
41.
Is the equation linear, exponential, or quadratic?
y = 2x
y = 2x
a)
Linear
b)
Exponential
c)
Quadratic
d)
None of the above
42.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
43.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
44.
A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?
a)
14327
b)
4309
c)
839
d)
7680
45.
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?
a)
$176,783.29
b)
$424,527.63
c)
$57,357.75
d)
$532,041,076.80
46.
What is the initial value for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
47.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
48.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
49.
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
50.
What is r, growth rate , for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
51.
A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?
a)
y = 1500(1 - 0.015)t
b)
y = 1500(0.015)t
c)
y = 1500(1 + 0.015)t
d)
y = 1500(1.5)t
52.
There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?
a)
f(x) = 417(3.75)x
b)
f(x) = 417(0.0375)x
c)
f(x) = 417(1.0375)x
d)
f(x) = 417(1.375)x
53.
a)
The graph represents an exponential growth situation.
b)
Eventually, the car will be worth exactly $0.
c)
The starting value of the car was $12,000.
d)
The range for the situation is y ≥ 0.
54.
An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?
a)
f(x) = 12000(1 + 14.9)x
b)
f(x) = 12000(1 - 14.9)x
c)
f(x) = 12000(1 + 0.149)x
d)
f(x) = 12000(1 - 0.149)x
55.
Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?
a)
A fee charged for an inactive account
b)
The percent of money in the account after x years
c)
The amount of money in the account initially
d)
The amount of money in the account after x years
56.
A child asks her dad for an allowance that starts with a penny and then doubles every day for a month. Which function can be used to model the amount of money, A, the child will receive each day, x?
a)
A(x) = 2(0.01)x
b)
A(x) = 0.01(2)x
c)
A(x) = 0.01(1 - 2)x
d)
A(x) = 2(1.01)x
57.
Which graph represents exponential growth?
a)
b)
c)
d)
58.
Which graph represents exponential decay?
a)
b)
c)
d)
59.
The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?
a)
356
b)
265
c)
5825
d)
1329
60.
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
61.
x0
a)
x
b)
0
c)
1
d)
Undefined
62.
What is b * b * b * b in exponent form?
a)
4b
b)
4b
c)
16
d)
b4
63.
Power to a Power Law states: keep the base the same and do this to the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
64.
Negative Exponent Law states: you must change the exponent to a positive by doing what?
a)
just change it to positive
b)
move to the bottom of fraction bar
c)
move it to the opposite side of fraction bar
65.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?
?
a)
75
b)
76
c)
67
d)
77
66.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
67.
Choose the answer.
52
52
a)
10
b)
15
c)
20
d)
25
68.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
69.
Which number is the EXPONENT?
42 = 16
42 = 16
a)
4
b)
2
c)
16
70.
evaluate 1623
a)
64
b)
16777216
c)
6.34
d)
24
71.
1000041
a)
1
b)
10
c)
1.995
d)
100000000000000001
72.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
73.
Which letter represents the coefficient?
a)
A
b)
B
c)
C
74.
Which letter represents the base?
a)
A
b)
B
c)
C
75.
Which letter represents the exponent?
a)
A
b)
B
c)
C
76.
Simplify (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
77.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
78.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
79.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
80.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
81.
(-4r3s5)0 (3b4c2d)
a)
1
b)
-12b4c2d
c)
3b4c2d
d)
0
82.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
83.
Simplify the expression.
a)
1
b)
g10
c)
g25
d)
g
84.
Evaluate using the quotient rule:
a)
a8b13
b)
a2b7
c)
a15b30
100 %
