Font size
S
M
L
XL
WorksheetsChapter 7 Review
Total questions: 100
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
any nonzero number raised to the zero power is equal to 1
a)
cube root
b)
compound interest
c)
zero exponent
d)
recursive formula
2.
a number in _______________ is expressed as
a x 10n, where 1≤a<10 and n is an integer
a x 10n, where 1≤a<10 and n is an integer
a)
negative exponent
b)
geometric sequence
c)
scientific notation
d)
exponential growth
3.
a function that can be described by an equation of the form
y = ax, where a > 0 and a ≠ 1
y = ax, where a > 0 and a ≠ 1
a)
exponential function
b)
geometric sequence
c)
common ratio
d)
cube root
4.
when an initial amount increases by the same percent over a given period of time
a)
exponential decay
b)
recursive formula
c)
exponential growth
d)
rational exponent
5.
when an initial amount decreases by the same percent over a given period of time
a)
exponential growth
b)
order of magnitude
c)
monomial
d)
exponential decay
6.
(-4.2)⁰
a)
-1
b)
1
c)
-4.2
d)
0
7.
(-3)⁻²
a)
-1/9
b)
9
c)
1/9
d)
6
8.
8g⁻²d⁶
a)
8g²d⁻⁶
b)
d⁶/8g²
c)
8gd⁻¹²
d)
8d⁶/g²
9.
3/a⁻⁹b
a)
27a/b
b)
3/a⁹b
c)
3/ab⁻⁸
d)
3a⁹/b
10.
What is the value of 4x⁻³y³ for x = 3 and y = -1?
a)
4/729
b)
-4/27
c)
-108
d)
4(-3)⁰
11.
Simplify the expression: 2b⁻¹∙5b¹⁰
a)
10b⁹
b)
7b⁹
c)
10b⁻¹⁰
d)
7b⁻¹⁰
12.
Simplify the expression: x⁸∙2y¹⁰∙5x⁵
a)
10x⁸⁰y¹⁰
b)
10xy²³
c)
8x¹³y¹⁰
d)
10x¹³y¹⁰
13.
(p⁶)²
a)
p¹²
b)
2p¹²
c)
p⁸
d)
p³⁶
14.
(3h³)⁴
a)
3h⁸¹
b)
81h⁷
c)
3h¹²
d)
81h¹²
15.
c⁹d⁻⁷ / c¹⁴d⁻¹⁰
a)
d² / d⁴
b)
c⁵d³
c)
d³ / c⁵
d)
c²d⁴
16.
(b/7)²
a)
b² / 14
b)
b² / 49
c)
b² / 7
d)
7b²
17.
(3/ 5y⁹)³
a)
9 / 15y²⁷
b)
27 / 5y
c)
27 / 125y²⁷
d)
15y²⁷
18.
Does the rule y = 2x² represent an exponential function?
a)
no
b)
yes
19.
Suppose an investment of $3,800 doubles in value every decade. The function f(n) = 3,800 ∙ 2ⁿ gives the value of the investment after n decades. How much is the investment worth after 2 decades?
a)
$152,000
b)
$15,200
c)
$76,000
20.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
d)
=
21.
Select the equivalent expression
8g5/2g3
*the slash represents a fraction bar
8g5/2g3
*the slash represents a fraction bar
a)
4g2
b)
6g2
c)
not possible - different bases
d)
10g8
22.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
23.
Is the Equation Linear or Exponential?
a)
Linear
b)
Exponential
24.
Is the Equation Linear or Exponential?
a)
Linear
b)
Exponential
25.
Linear, exponential, or neither?
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
26.
Linear, exponential, or neither?
y = 4(1 + .04)x
y = 4(1 + .04)x
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
27.
Linear, exponential, or neither?
y = 4 + 2x
y = 4 + 2x
a)
Linear
b)
Exponential
c)
Neither
d)
All of the above
28.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
29.
Which function is exponential?
a)
f(x)
b)
h(x)
c)
g(x)
30.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
31.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
32.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
33.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
34.
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
35.
A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?
a)
y=78(0.5)x
b)
y=78(1.5)x
c)
y=78(2)x
36.
What is the decay rate in the following model?
A=1200(.85)6
A=1200(.85)6
a)
-1200
b)
-.15
c)
6
d)
-6
37.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
38.
How would you change this to a positive exponent:
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x
39.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
40.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
41.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
42.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
43.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
44.
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
45.
What does the graph represent?
a)
Exponential Decay
b)
Exponential Growth
46.
What does the graph represent?
a)
Exponential Growth
b)
Exponential Decay
47.
What is the initial value of the situation represented by f(x)=0.05(2)x?
a)
0.05
b)
2
c)
0.1
d)
1
48.
An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? (hint: create equation first)
a)
101
b)
102
c)
103
d)
104
49.
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
50.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
51.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
52.
Write in exponential form
∜(3x)³
∜(3x)³
a)
3x³⁄ ⁴
b)
(3x)³∕ ⁴
c)
(3x)⁴⁄ ³
d)
3x⁴⁄ ³
53.
Rewrite in radical form.
a)
A
b)
B
c)
C
d)
D
54.
(2.2 x 10 4) x (7.1x 10 5)
a)
1.562 x 1010
b)
15.62 x 109
c)
15.62 x 1020
d)
1.562 x 1020
55.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
56.
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
57.
Solve 33 = 34x + 2
a)
x = ¼
b)
x = -¼
c)
x = ½
d)
x = -½
58.
Solve for x:
9x+8 = 81
9x+8 = 81
a)
2
b)
-6
c)
6
d)
8
59.
What is the exponential equation
a)
y=4(2)x
b)
y=4(1/2)x
c)
y=2(4)x
d)
y=8(2)x
60.
Which function represents the table of values?
a)
f(x) = 4x
b)
f(x) = x3
c)
f(x) = 4x
d)
f(x) = 4x-1
61.
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
62.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
63.
Write in exponential form: ∛4⁵
a)
43/5
b)
45/3
c)
41/5
d)
41/3
64.
Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
a)
$12712.31
b)
$12,749.30
c)
$12,657.59
d)
$12550.84
65.
Approximately what interest rate would be needed in order to grow an investment of $1,400 to $2,500 in 10 years if the interest was compound monthly?
a)
5.96%
b)
5.84%
c)
5.81%
d)
5.88%
66.
Simplify:
(s2t)3(st3)2
a)
(s7t8)
b)
(s8t8)
c)
(s7t9)
d)
(s8t9)
67.
a)
59
b)
529
c)
596
d)
515
68.
Given y=3x determine the y-intercept
a)
(0,1)
b)
(0,3)
69.
Simplify the following radical: √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
70.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
71.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
72.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
73.
3√700
a)
21√10
b)
3√7
c)
10√7
d)
30√7
74.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
75.
a)
8√6
b)
8√12
c)
12√6
d)
12√12
76.
Add: 4√7 - 10 √7 + 7√7
a)
-6√7
b)
14√7
c)
-3√14
d)
√7
77.
√45x⁴y⁷
a)
3x²y³√5
b)
9x²y³√5y
c)
3x²y³√5y
d)
3x⁴y⁷
78.
√36n4
a)
6n
b)
6n⁴
c)
6n²√2
d)
6n²
79.
2√18a6b2
a)
3a³b√2
b)
6a³b²√2
c)
6a³b√2
d)
2a³b√2
80.
Simplify:
a)
1/5
b)
20/100
c)
2/10
d)
1/√25
81.
Simplify
a)
6
b)
7
c)
24
d)
2*31/2
82.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
83.
Re-write the expression in radical form.
x2/3
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
84.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
85.
Simplify the following expression:
a)
5
b)
25
c)
125
d)
625
86.
Simplify:
a)
2
b)
8
c)
16
d)
32
87.
Simplify:
a)
2
b)
4
c)
8
d)
16
88.
Simplify:
a)
2
b)
4
c)
16
d)
64
89.
What two colors are the cat's hat in "The Cat in the Hat"?
a)
Red and White
b)
Red and Blue
c)
Blue and White
d)
White and Black
90.
What was the name of the cat in Walt Disney's movie "Cinderella"?
a)
Lucifer
b)
Luxury
c)
Lucky
d)
Lazy
91.
How many days are there in a leap year?
a)
365
b)
356
c)
366
d)
29
92.
Write the following expression in radical form:
a)
a.)
b)
b.)
c)
c.)
d)
d.)
93.
Write the following expression in radical form:
a)
a.)
b)
b.)
c)
c.)
d)
d.)
94.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
95.
Simplify:
a)
2
b)
4
c)
16
d)
64
96.
a)
23/5
b)
-23/5
c)
25/3
d)
85
97.
a)
44/3
b)
43/4
c)
24/3
d)
23/4
98.
a)
72
b)
71/2
c)
7-2
d)
7-1/2
99.
a)
5x5/4
b)
5x-5/4
c)
(5x)-5/4
d)
(5x)-4/5
100.
a)
A
b)
B
c)
C
d)
D
Reset
