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WorksheetsTest #2 Review
Total questions: 140
Worksheet time: 8hrs 15mins
Name
Class
Date
1.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
2.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
3.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
4.
Is this exponential growth or decay?
a)
Growth
b)
Decay
5.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
6.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
7.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
8.
What is the x-intercept of the exponential function?
a)
(0,1)
b)
(0,0)
c)
There is not one
9.
What movie are these characters from?
a)
Hercules
b)
Beauty & the Beast
c)
Tangled
d)
Frozen
10.
What movie is this picture from?
a)
Snow White
b)
Beauty & the Beast
c)
Lion King
d)
Little Mermaid
11.
What animal appears in Happy Feet?
a)
Bear
b)
Fish
c)
Penguin
d)
Tiger
12.
If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?
a)
3
b)
-3
c)
1/3
d)
-1/3
13.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
14.
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
15.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
16.
What is the common ratio for the sequence:
3, 15, 75...
3, 15, 75...
a)
12
b)
1/5
c)
5
17.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
18.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
19.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
20.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
21.
Is the pictured graph growth, decay, or linear or none?
a)
Growth
b)
Decay
c)
Linear
d)
None
22.
Which does y= 2(.5)x represent?
a)
Exponential Growth
b)
Exponential Decay
23.
Which does y=.5(2)x represent?
a)
Exponential Growth
b)
Exponential Decay
24.
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
25.
What is the growth factor of the situation represented by f(x)=10(0.3)x?
a)
10
b)
0.3
c)
1
d)
3
26.
Which variable represents time passed in the function y=abx?
a)
y
b)
a
c)
b
d)
x
27.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
28.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
29.
What is the y-intercept of the equation:
y = 2x - 3
y = 2x - 3
a)
-2
b)
2
c)
3
d)
-3
30.
Find the slope:
y = 2x - 10
y = 2x - 10
a)
1/2
b)
2
c)
5
d)
-10
31.
What is the y-intercept?
y = 6x - 4
y = 6x - 4
a)
6/1
b)
1/6
c)
-4
d)
4
32.
What is the slope?
y = 1/2x + 3
y = 1/2x + 3
a)
3
b)
-3
c)
1/2
d)
-1/2
33.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
34.
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
35.
A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?
a)
y = 30 + 12.5x
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
36.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?
a)
y = 8.5 + 25.5
b)
y = 25.5 + 8.5x
c)
y = 8.5 + 25.5x
37.
Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?
a)
y = 7x + 20
b)
y = 7 + 20x
c)
y = 20 + 7
38.
Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?
a)
y = 40 + 2x
b)
y = 40 - 2x
c)
y = 2 + 40x
d)
y = 2 - 40x
39.
Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?
a)
y = 3x + 20
b)
y = 3 + 20x
c)
y = -3x + 20
d)
y = -20x + 3
40.
Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?
a)
350
b)
50
c)
-50
d)
-350
41.
For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.
a)
y = 12 + 325
b)
y = 12x + 325
c)
y = 325 - 12x
d)
y = 325x + 12
42.
Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
a)
y = 48x + 5
b)
y = -5 + 48x
c)
y = -5x - 48
d)
y = 48 - 5x
43.
The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold?
a)
47
b)
58
c)
69
d)
113
44.
Andrea earns a flat fee of $20 per day plus an additional x dollars for each sale she makes. Andrea made 10 sales last Saturday and earned a total of $80. How much does Andrea earn for each sale she makes?
a)
$6
b)
$8
c)
$10
d)
$12
45.
The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. Write a linear equation that could be used to find how many songs he downloaded.
a)
y = 0.95x + 7.95
b)
y = 7.95x + 0.95
c)
y = 0.95x - 7.95
d)
y = - 0.95x + 7.95
46.
The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded.
a)
32 songs
b)
33 songs
c)
19 songs
d)
36 songs
47.
At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 from washing cats and dogs. If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.
a)
2 dogs
b)
3 dogs
c)
4 dogs
d)
not enough information
48.
A man is climbing down from 100 feet high descending 30 feet per minute.
a)
y = 100 - 30x
b)
y = 100 + 30x
c)
y = 100x + 30
d)
y = 100x - 30
49.
Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.
a)
20x + 15 = y
b)
35x = y
c)
15x + 20y = 150
d)
150 - 20x = 15y
50.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What was the population in 1990?
a)
0 people
b)
It doesn't say
c)
I don't know
d)
6191
51.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?
a)
4%
b)
It doesn't say
c)
I don't know
d)
400%
52.
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
a)
$344,022
b)
$31,500
c)
$15,000
d)
$28,500
53.
During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 mL. How much of the original air is present after 240 breaths?
a)
Just about zero mL
b)
60 mL
c)
440 mL
d)
0 mL
54.
An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%.
What is the multiplier for this problem?
What is the multiplier for this problem?
a)
1.29
b)
.71
c)
.29
d)
1.71
55.
An adult takes 400 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?
a)
51 mg
b)
284 mg
c)
1843 mg
d)
116 mg
56.
You buy a new computer for $2100. The computer decreases by 50% annually. When will the computer have a value of $600?
a)
between 1 and two years
b)
more than 5 years
c)
less than a year
d)
between 3 and 4 years
57.
You buy a new computer for $2100. The computer decreases by 50% annually. What would be the multiplier for this problem?
a)
1.5
b)
.5
58.
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine?
a)
19 to 20 hours
b)
10 to 20 hours
c)
15 to 16 hours
d)
5 to 6 hours
59.
The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?
a)
29 to 30 years
b)
23 to 24years
c)
15 to 16 years
d)
19 to 20 years
60.
The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%. What is the population after 3 years?
Every year the population drops by 4.5%. What is the population after 3 years?
a)
1,069 people
b)
894 people
c)
816 people
d)
854 people
61.
The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%.
What is the multiplier for this problem?
Every year the population drops by 4.5%.
What is the multiplier for this problem?
a)
1.045
b)
.045
c)
.955
d)
1.955
62.
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
63.
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
64.
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
65.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
66.
Simplify:
√6 ⋅√6
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
67.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
68.
Simplify the following radical: √275
a)
5√5
b)
5√11
c)
11√5
d)
5√55
69.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
70.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
71.
3√700
a)
21√10
b)
3√7
c)
10√7
d)
30√7
72.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
73.
If h(a) = 3 - 2x2, find h(-3).
a)
33
b)
21
c)
39
d)
-15
74.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
75.
What is x if
f(x) = -2?
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
76.
Given h(x) = 5 - 9x, find h(8).
a)
h(8) = -360
b)
h(8) = -67
77.
Given g(x) = 4x - 7, find g(-9).
a)
g(-9) = 29
b)
g(-9) = -43
c)
g(-9) = 43
d)
g(-9) = -29
78.
Given g(x) = 3/4 x + 10, find g(-12).
a)
g(-12) = 19
b)
g(-12) = 1
79.
How would you say h(n)
a)
n of h
b)
h of n
80.
g(x) = 3x + 1
g(10) = ______
g(10) = ______
a)
14
b)
31
c)
15
d)
-31
81.
g(x) = x + 1
g(2) = ______
g(2) = ______
a)
5
b)
4
c)
3
d)
2
82.
f(x) = x2 + 7
x(1) = ______
x(1) = ______
a)
6
b)
5
c)
8
d)
7
83.
j(x) = 2x + 3
j(-3) = ______
j(-3) = ______
a)
-9
b)
-3
c)
9
d)
3
84.
b(x) = 2x - 3
b(-2) = ______
b(-2) = ______
a)
-7
b)
-1
c)
7
d)
1
85.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
86.
What is x if
f(x) = -2?
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
87.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
88.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
89.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
90.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
91.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
92.
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
93.
What is the constant rate of change?
a)
Not here.
b)
$80 per month.
c)
$82 per month.
d)
$41 per month.
94.
What is the constant rate of change between the quantities in the table?
a)
$1 per hour
b)
$40 per hour
c)
$5 per hour
d)
$10 per hour
95.
What is the constant rate of change between the quantities in the table?
a)
-20 gal per minute
b)
-2 gal per minue
c)
2 gal per minute
d)
20 gal per minute
96.
What is the constant rate of change between the quantities in the table?
a)
4 calories per minute
b)
15 calories per minute
c)
40 calories per minute
d)
60 calories per minute
97.
What is domain?
a)
x-value
b)
y-value
c)
output
d)
slope
98.
What is range?
a)
input
b)
y - value
c)
x- value
d)
direct variation
99.
What is another name for slope?
a)
rate of change
b)
variable
c)
range
d)
domian
100.
What does the change in y over the change in x represent?
a)
Coefficient
b)
Standard Form
c)
Slope
d)
Constant
101.
What does the ordered pair (0, 3) represent?
a)
x-intercept
b)
origin
c)
y-intercpet
d)
slope
102.
A LETTER THAT CAN BE REPLACED BY A NUMBER
i.e. 4x (x is the _____)
i.e. 4x (x is the _____)
a)
exponent
b)
base
c)
inequality
d)
variable
103.
A NUMBER MULTIPLIED BY A VARIABLE OR VARIABLES
4x (4 is the _____)
4x (4 is the _____)
a)
coefficient
b)
term
c)
constant
d)
numerical expression)
104.
A SENTENCE WITH AN EQUAL SIGN
i.e. 4x = 8
i.e. 4x = 8
a)
expression
b)
equation
c)
term
d)
variable
105.
A TERM THAT DOES NOT HAVE A VARIABLE
i.e. 5x + 2y + 4 ( 4 is the _____)
i.e. 5x + 2y + 4 ( 4 is the _____)
a)
coefficient
b)
constant
c)
variable
d)
term
106.
Which is an equation?
a)
15 = a
b)
3x +2
c)
5a
d)
15 + 7 - 4w
107.
Equivalent means:
a)
the same
b)
equal
c)
identical
d)
all of the above
108.
What is absolute value?
a)
The absolute least amount you pay for an item.
b)
A number's distance from zero
c)
A negative number
d)
Opposite
109.
Which of the following is an operation?
a)
Addition
b)
Term
c)
Exponent
d)
Decimal
110.
an expression consisting of one or more numbers and variables along with one or more arithmetic operations
a)
function
b)
algebraic expression
c)
power
d)
domain
111.
an expression of the form xn, read x to the nth power
a)
function
b)
solution
c)
equation
d)
power
112.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
113.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
114.
5, 15, 45, 135 is a ...
a)
Geometric sequence with r = 3
b)
Geometric sequence with r = 1/3
c)
Arithmetic sequence with d = 10
d)
Arithmetic sequence with d = 3
115.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
116.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
117.
Write a formula for the following sequence:
5, 8, 11, 14, 17...
a)
an = 3n + 2
b)
an = 8 - 5n
c)
an = 5(3)n-1
d)
an = 5 + 3n
118.
Write a formula for the following sequence:
4, 12, 36, 108...
a)
an = 4(3n-1)
b)
an = 4(3n)
c)
an = 4+3n
d)
an = 4(3n)
119.
Find the sequence 10, 20, 30, 40.........
a)
Multiply by 10
b)
Add 10
c)
Multiply by 2
120.
Find the sequence; 2, 4, 6, 8,...........
a)
add 2
b)
multiply by 2
121.
Find the sequence; 2, 4, 8, 16, 32...............
a)
add 4
b)
multiply by 2
c)
add 2
122.
Find the sequence; 10.5, 13, 15.5, 18..........
a)
add 2.5
b)
add 2
c)
multiply by 2.5
123.
Find the sequence; 3, 9, 27, 81..............
a)
add 3
b)
multiply by 3
124.
Find the sequence; 9, -18, 36, -72...........
a)
adding 9
b)
multiply by -2
125.
Find the sequence; -2, 2, -2, 2, -2............
a)
Add -1
b)
multiply by -1
126.
An ______________sequence is a sequence of numbers in which the difference between any two consecutive terms is a constant.
a)
Geometric Sequence
b)
Arithmetic Sequence
127.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
128.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
129.
a)
Function
b)
Not a Function
130.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
131.
Is this table a function or not a function?
a)
Function
b)
Not a Function
132.
Is this table a function or not a function?
a)
Function
b)
Not a Function
133.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
134.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
135.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
136.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
137.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
138.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
139.
f(x)=2x+1
If f(x)=4, what is the value of x?
If f(x)=4, what is the value of x?
a)
3/2
b)
2
c)
1/2
d)
4
140.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
R: {-2, 1}
Not a Function
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