WorksheetsUnit 6
Total questions: 70
Worksheet time: 4hrs 21mins
Name
Class
Date
1.
a)
b)
c)
d)
2.
a)
b)
c)
d)
3.
a)
b)
c)
d)
4.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
5.
SImplify:
32 × 333 =
32 × 333 =
a)
366
b)
333
c)
335
d)
3-31
6.
Simplify (8y3)6
a)
8y18
b)
86y18
c)
48y18
d)
8y9
7.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
8.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
9.
(22y3)5
a)
27y8
b)
256y8
c)
1024y15
d)
None
10.
Evaluate the expression using the quotient rule.
a)
y15
b)
y50
c)
y2
d)
y5
11.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
12.
Simplify
a)
7a5/b3
b)
b3/7a5
c)
7b3/a-5
d)
7b3 /a5
13.
Simplify
a)
5/4
b)
4/5
c)
-4/5
d)
-4/5
14.
Simplify
a)
-1/125
b)
125
c)
-125
d)
1/125
15.
Simplify
a)
-1
b)
1
c)
1/7
d)
-1/7
16.
Simplify
a)
-1
b)
1/32
c)
-1/32
d)
1
17.
Simplify
a)
b3/64a5
b)
b3/16a5
c)
a5/64b3
d)
b3/-64a5
18.
a)
b)
c)
d)
19.
a)
b)
c)
d)
20.
a)
0
b)
1
c)
3
d)
31
21.
a)
0
b)
1
c)
3
d)
31
22.
a)
-0
b)
0
c)
-1
d)
-3
23.
a)
b)
c)
d)
24.
a)
b)
c)
d)
25.
a)
b)
c)
d)
26.
a)
b)
c)
d)
27.
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
28.
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
29.
a)
f(x) = 35(0.95)x
b)
f(x) = 36(0.05)x
c)
f(x) = 35(1.05)x
d)
f(x) = 36(1.5)x
30.
The equation for this exponential function is
a)
y = 1(2x)
b)
y = 1(4x)
c)
y = 3x
d)
y = 1(3x)
31.
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
32.
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
33.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
34.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
35.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
36.
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
37.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
38.
Pick the equation that is exponential decay
a)
y=2000(0.88)
b)
y=0.5(1.88)
39.
Pick the equation that is exponential growth
a)
y=2(0.5)x
b)
y = 0.5(2)x
40.
Given y=4(x+1) determine the y-intercept
a)
(0,1)
b)
(0,4)
c)
(4,0)
d)
(1,0)
41.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
42.
A shoe sales associate earned $300 in August. In September she earned 8% more than she did in August. How much did she earn in September?
a)
$164
b)
$256
c)
$404
d)
$324
43.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter?
a)
35%
b)
25%
c)
30%
d)
20%
44.
Find the new amount given the original amount and the percent of change.
340 pages; 20% decrease
340 pages; 20% decrease
a)
320 pages
b)
240 pages
c)
272 pages
d)
360 pages
45.
What is the total price of a book if Barnes and Nobles gets it for $4.25 and the markup is 30%?
a)
$55.25
b)
$1.28
c)
$5.53
d)
$4.38
46.
A grocery store has a 20% markup on bottle of soda. The bottle of soda costs the store $1.25. Find the selling price. Round to nearest cent if necessary.
a)
$1.5
b)
$1.50
c)
$.25
d)
$1.45
47.
Write 8.25% as a decimal.
a)
0.0825
b)
0.825
c)
82.5
d)
825
48.
What is 44% of 325?
a)
100
b)
143
c)
44
d)
325
49.
Convert this fraction to a decimal 1/4
a)
25
b)
25%
c)
.25
d)
.025
50.
A TV is regularly priced at $600, but it is on sale for 20% off. What's the sale price?
a)
$320
b)
$500
c)
$480
d)
$720
51.
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
52.
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
53.
Is the table linear or exponential?
a)
Linear
b)
Exponential
54.
Is the equation linear or exponential?
a)
Linear
b)
Exponential
55.
Is the equation linear or exponential?
a)
Linear
b)
Exponential
56.
Is the table linear or exponential?
a)
Linear
b)
Exponential
57.
Is the table linear or exponential?
a)
Linear
b)
Exponential
58.
Is the table linear or exponential?
a)
Linear
b)
Exponential
59.
Which function describes the graph?
a)
Linear
b)
Exponential
c)
neither
60.
What functions describes this graph?
a)
Linear
b)
Exponential
c)
neither
61.
Find the common ratio for the geometric sequence.
a)
2/3
b)
3/2
c)
-2/3
d)
-3/2
62.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
63.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
64.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
65.
Find the next three terms: 4, 12, 36, 108, ...
a)
324, 972, 2916
b)
972, 2916, 8748
c)
405, 1215, 3645
66.
Find the next three terms: -4, -12, -36, -108, ...
a)
36, -108, 324
b)
-324, -972, -2916
c)
324, -972, 2916
d)
-108, 324, -972
67.
What does r represent?
a)
Radical
b)
Common difference
c)
Common ratio
68.
Find a12 in the sequence -1, -3, -9, -27, ...
a)
-177,147
b)
-19,683
c)
-59,049
d)
118,098
69.
What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?
a)
384
b)
768
c)
1,536
d)
27
70.
Write the explicit formula for the following geometric sequence:
100, 50, 25, 12.5, ...
a)
an = 2(100)n-1
b)
an = 100(2)n-1
c)
an = 100(1/2)n-1
d)
an = (1/2)(100)n-1
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